Rare Decays at LHCb: recent results...Preliminary 2] Likelihood contours in steps of 1 σstd. dev. 2D combination is 2.1σfrom SM 7/28 David Gerick (LHCb collaboration) 10thLHCb IW:

Rare Decays at LHCb: recent results

David Gerick? for the LHCb collaboration

?Physikalisches Institut, Heidelberg University, Germany

October 30th 2020

10th workshop on “Implications of LHCb measurements and future prospects”

1 / 28 David Gerick (LHCb collaboration) 10th LHCb IW: ”Rare Decays at LHCb: recent results”

Introduction

Introduction to rare decays at LHCbloop suppressed rare D- and B-meson decays

B(D mesons) / 10−13 and B(B mesons) ≈ 10−6–10−9

contributions from new physic (NP) models can enter in quark loopsLeptoquarks[PRD99(2019)055025], Z ′[Eur.Phys.J.C75(2015)382] and others

b s

µ+

µ−ν

W− W+

t b s

µ+

µ−

t

γ, Z0

W−

Wal

tD

isne

ySt

udio

sG

mbH

tensions to the SM predictions have been observed → flavour anomaliesin addition: direct search for rare (forbidden) decays


https://journals.aps.org/prd/abstract/10.1103/PhysRevD.99.055025

https://link.springer.com/article/10.1140/epjc/s10052-015-3602-7

Introduction

Recent results from rare decays by the LHCb experiment

Rare charm decaysSearches for 25 rare and forbidden decays of D+ and D+

s mesons[LHCb-PAPER-2020-007] (in preparation)

B→ `+`− decaysATLAS, CMS and LHCb combined results on B0

(s)→ µ+µ− [LHCb-CONF-2020-002]

Search for the rare decays B0s→ e+e− and B0→ e+e− [PRL124(2020)211802]

lepton flavour violating decaysSearch for the lepton flavour violating decay B+→ K+µ−τ+ using B∗0s2 decays[JHEP06(2020)129]

Angular analysesB0→ K∗0µ+µ−[PRL125(2020)011802]B0→ K∗0e+e−[arXiv:2010.06011]B+→ K∗+

(→ K0

Sπ+)µ+µ− !NEW! [LHCb-PAPER-2020-041] (in preparation)


https://cds.cern.ch/record/2727207

https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.124.211802

https://link.springer.com/article/10.1007/JHEP06(2020)129


https://arxiv.org/abs/2010.06011

Rare charm decays

Rare charm decays

Rare charm decays


Rare charm decays

Searches for 25 rare and forbidden decays of D+ and D+s mesons

D+(s)→ h±`+`′∓ [LHCb-PAPER-2020-007] (in preparation)

h: pion or kaon `: electron or muon8 decays allowed in SM (removal of light intermediate resonances (η/ρ/ω/φ) in q2)17 forbidden decays (including LFV and LNV decays)

all results consistent with background only hypothesis(significantly) improved previous world’s best limits

10−8 10−7 10−6 10−5

Upper limit at 90% confidence

D+ → K+e+e−D+ → π+e+e−D+ → π−e+e+

D+ → K+µ+e−D+ → K+e+µ−D+ → π+µ+e−D+ → π+e+µ−D+ → π−µ+e+

D+ → K+µ+µ−D+ → π+µ+µ−D+ → π−µ+µ+

LHCb

Observed

Expected

±1σ, ±2σ

BaBar

CLEO

LHCb

preliminary

10−8 10−7 10−6 10−5

Upper limit at 90% confidence

D+s → K+e+e−

D+s → K−e+e+D+s → π+e+e−

D+s → π−e+e+

D+s → K+µ+e−

D+s → K+e+µ−

D+s → K−µ+e+D+s → π+µ+e−

D+s → π+e+µ−

D+s → π−µ+e+

D+s → K+µ+µ−

D+s → K−µ+µ+D+s → π+µ+µ−

D+s → π−µ+µ+

LHCb

Observed

Expected

±1σ, ±2σ

BaBar

CLEO

LHCb

preliminary

pres

ente

dat

ICH

EP

2020

[lin

k][L

HC

b-P

AP

ER

-202

0-00

7]


https://indico.cern.ch/event/868940/contributions/3815638/

B0(s) → `+`− decays





Combination of B0(s)→ µ+µ− results from ATLAS, CMS and LHCb

combination of individual results:ATLAS [JHEP04(2019)098]CMS [JHEP04(2020)188]LHCb [PRL118(2017)191801]

the binned 2D likelihood profiles fromeach experiment are combined toaccount for correlations between thedecays

Branching fractions & eff. lifetime:

B(B0s→ µ+µ−) =

(2.69+0.37

−0.35)× 10−9

τ(B0s→ µ+µ−) = 1.91+0.37

−0.35 psB(B0→ µ+µ−) < 1.6(1.9)× 10−10(∗)

(*): at 90% (95%) CL

1 2 3 4 5

)9−) (10−µ+µ → s0

B(Β

0

0.1

0.2

0.3

0.4

0.5

0.6)9

−)

(10

−µ

+µ

→ 0

B(Β SM

ATLAS, CMS, LHCb Summer 2020

2011 2016 data

Preliminary

[LH

Cb-

CO

NF

-202

0-00

2]

Likelihood contours in steps of 1σ std. dev.

2D combination is 2.1σ from SM







Search for the rare decays B0s→ e+e− and B0→ e+e−

LHCb dataset (2011 – 2016)SM branching ratios O(10−14)

no signal is observedupper limits obtained using CLs method[J.Phys.G28(2002)2693]

→ previous upper limit improved by more than oneorder of magnitude:

B(B0s→ e+e−) < 9.4(11.2)× 10−9

B(B0→ e+e−) < 2.5(3.0)× 10−9

...at 90% (95%) CL and assuming no contribution from therespective other decay.right side plots: fits with B fixed to zero

4500 5000 5500 6000 6500

]2c) [MeV/−e+e(m

0

50

100

150

200

)2

cC

andid

ates

/ (

120 M

eV/ LHCb 2012 data−2011

−e+e →s

0B

full model

combinatorial

decayseν+e

0D →

+B

decays−e+eX →B

decayseν −e+

h →b

X

decays−h’

+h →B

4500 5000 5500 6000 6500

]2c) [MeV/−e+e(m

0

200

400

)2

cC

andid

ates

/ (

120 M

eV/ LHCb 2016 data−2015

−e+e →s

0B

full model

combinatorial

decayseν+e

0D →

+B

decays−e+eX →B

decayseν −e+

h →b

X

decays−h’

+h →B

[PR

L124

(202

0)21

1802

]


https://doi.org/10.1088/0954-3899/28/10/313


Search for lepton flavour violating decays


Search for LFV decays



Search for the LFV decay B+→ K+µ−τ+ using B∗0s2 decays

analysing the full LHCb data(2011 – 2018)using B+ from B∗0s2→ B+K− decays4-momentum of τ+ is reconstructedfrom B+ and K−

no significant excess is observedlimits obtained assuming phase-spacesignal decay model, using CLs method:

B(B+→ K+µ−τ+) < 3.9(4.5)× 10−5

...at 90% (95%) CL

0 1 2 3 45

10×) +τ−µ+K→+B(Β

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

val

ue

p

Observed CLs

Expected CLs median

σ 1±Expected CLs

σ 2±Expected CLs

[JH

EP

06(2

020)

129]

Confidence level profile using test statistics frompseudo-experiment events with fixed B(B+→ K+µ−τ+)



Angular analysis of B-meson decays





Angular description of b→ s`+`− decays

topology of decay angles:

BKK*

ℓ+

ℓ−

θℓ

θKπ

ϕ

leptonic and hadronic decay part

three angles θ`, θK and φ

invariant di-lepton mass q2

angular differential decay rate:

1d(Γ + Γ)/dq2

d4(Γ + Γ)

dq2 d~Ω

∣∣∣P

=

932π

[34 (1− FL) sin2

θK + FL cos2θK

+ 14 (1− FL) sin2

θK cos 2θ`

−FL cos2θK cos 2θ` + S3 sin2

θK sin2θ` cos 2φ

+S4 sin 2θK sin 2θ` cosφ + S5 sin 2θK sin θ` cosφ

+S6s sin2θK cos θ` + S7 sin 2θK sin θ` sinφ

+S8 sin 2θK sin 2θ` sinφ + S9 sin2θK sin2

θ` sin 2φ]

plus S-wave contribution and P-/S-wave-interference terms.

AFB = 34S6s

P1 = 2S31−FL

, P2 = S6s2(1−FL) and P3 = −S9

1−FL

P ′4,5,6,8 =S4,5,7,8√FL(1−FL)



Effective Field Theories and Wilson coefficientsEffective field theories:

→

Heff = −GF√2VCKM

∑i

CiOi

Fermion operators Oi and Wilson coefficients Ci→ Wilson coefficients allow for model

independent comparison of different EWPmeasurementsangular observable results can be evaluated interms of Wilson coefficients

q2 spectrum:

!"#$%&$%$"'$(

J/ψ(1S)

ψ(2S)C(′)7

C(′)7 C

(′)9

C(′)9 C

(′)10

4 [m(µ)]2 q2

dΓdq2

)"*(

+,"-(*!.#)"'$(

',"#%!/01,".(&%,2(

)/,3$(,4$"('5)%2(

#5%$.5,6*((

cc

left-handed: Ciright-handed: C′iphoton: C7(axial) vector: (C10) C9


Angular analysis of B-meson decays B0→ K∗0µ+µ− (4.7 fb−1)

Measurement of CP -averaged observables in the B0→ K∗0µ+µ− decay

previous LHCb measurements:2011 [JHEP08(2013)131]

Run 1[JHEP02(2016)104]

now: update including 2016 data[PRL125(2020)011802]

4D+1D fit: 4D m(K+π−µ+µ−), cos θL,cos θK and φ with additional m(K+π−)a 4D (q2 and angles) acceptancecorrection is convoluted into the fit PDFsimultaneous fit of Run 1 (≈ 2400 events)and 2016 (≈ 2200 events) data samples

Fit projections in [6.0 - 8.0] GeV2/c2 (2016)

]2c) [MeV/−µ+µ−π+K(m5200 5400 5600

2 cC

andi

date

s / 1

1 M

eV/

0

50

100 LHCb 20164c/2 < 8.0 GeV2q6.0 <

]2c) [MeV/−π+K(m800 850 900 950

2 cC

andi

date

s / 1

0 M

eV/

0

50

100LHCb 2016

4c/2 < 8.0 GeV2q6.0 <

lθcos1− 0.5− 0 0.5 1

Can

dida

tes

/ 0.1

0

20

40

60LHCb 2016

4c/2 < 8.0 GeV2q6.0 <

Kθcos1− 0.5− 0 0.5 1

Can

dida

tes

/ 0.1

0

20

40

60

80

LHCb 20164c/2 < 8.0 GeV2q6.0 <

φ2− 0 2

Can

dida

tes

/ 0.3

1

0

20

40

60 LHCb 20164c/2 < 8.0 GeV2q6.0 <






B0→ K∗0µ+µ−: Less form-factor dependent observables, i.e. P ′5

]4c/2 [GeV2q0 5 10 15

5'P

1−

0.5−

0

0.5

1

(1S)

ψ/J

(2S)

ψ

CombinedRun 1 2016

SM from DHMV

LHCb

[PR

L125

(202

0)01

1802

]SM predictions by [JHEP12(2014)125] and[JHEP09(2010)089]Trends of all observables in backup slides

P ′5 = S5√FL(1− FL)

in P (′) observables hadronic form-factorscancel out (to first order)behaviour of the tension in P ′5:

values move closer to SM predictionsbut with higher precision

→ tension with almost identicalsignificance

local discrepancies to SM are:q2 = [4.0 - 6.0]: 2.5σq2 = [6.0 - 8.0]: 2.9σ

global evaluation on next slides!15 / 28 David Gerick (LHCb collaboration) 10th LHCb IW: ”Rare Decays at LHCb: recent results”





B0→ K∗0µ+µ−: Global fits to C9 and C10

consistent results between Run 1 & 2016; and individual observables, i.e. AFB, FL, S5global fit clearly favours ∆Re(C9) ≈ −1.0 scenario over SM valueglobal discrepancy to SM is 3.3σdeviations are compatible with anomalies observed in LFU tests

−2.0 −1.5 −1.0 −0.5 0.0 0.5 1.0 1.5 2.0

∆Re(C9)

0

5

10

15

20

25

30

35

−2∆

logL

flavio v2.0.0

LHCb

Run 1

2016

Run 1 + 2016

−2.0 −1.5 −1.0 −0.5 0.0 0.5 1.0 1.5 2.0

∆Re(C9)

−2.0

−1.5

−1.0

−0.5

0.0

0.5

1.0

1.5

2.0

∆Re(C

10)

flavio v2.0.0

LHCb

FL

AFB

S4

S5

Run 1 + 2016

[PR

L12

5(20

20)0

1180

2]

global fits (and plots) generated using Flavio by D. Straub et al. [arXiv:1810.08132]16 / 28 David Gerick (LHCb collaboration) 10th LHCb IW: ”Rare Decays at LHCb: recent results”



Angular analysis of B-meson decays B0→ K∗0e+e− (9 fb−1)

Strong constraints on the b→ sγ photon polarisation fromB0 → K∗0e+e− decays

angular analysis with electrons in finalstatefit in one very low q2 bin:[0.0008, 0.257] GeV2/c2

update of Run 1 analysis [JHEP04(2015)064]

now Full Run 1 + 2: [arXiv:2010.06011]

increased signal puritylower q2 reached

folding φ = φ+ π if φ < 0(this angular folding is sensitive to all relevantobservables in this q2 region)

Folded angular decay rate:34 (1− FL) sin2

θK + FL cos2θK

+ 14 (1− FL) sin2

θK cos 2θL − FL cos2θK cos 2θL

+ 12 (1− FL)A(2)

Tsin2

θK sin2θL cos 2φ

+ (1− FL)AReT sin2θK cos θL

+ 12 (1− FL)AImT sin2

θK sin2θL sin 2φ

4500 5000 5500 6000) [MeV]−e+e−π+K(m

0

20

40

60

80

100

Can

dida

tes

/ 34

MeV LHCb

Data

Model

−e+e*0K→0B

SL/C

−e+eπ*0K→B

)γ−e+e(η*0K→0B

)γ−e+e(0π*0K→0B

γ*0K→0B

≈ 530 events

[arX

iv:2

010.

0601

1]





Angular analysis of B-meson decays B0→ K∗0e+e− (9 fb−1)

B0→ K∗0e+e−: Angular fit projections and results

0.5− 0 0.5

lθcos

0

10

20

30

40

50

Can

dida

tes

/ 0.0

8

LHCb

0 1 2 3∼

0

10

20

30

40

50

πC

andi

date

s / 0

.05 LHCb

φ

Angular fit performed in mass window [5000− 5400] MeV/c2

1− 0.5− 0 0.5 1

Kθcos

0

10

20

30

40

50

Can

dida

tes

/ 0.1

LHCb

[arX

iv:2

010.

0601

1]

Angular observables:FL = 0.044± 0.026± 0.014

AReT = −0.06± 0.08± 0.02

A(2)T = +0.11± 0.10± 0.02

AImT = +0.02± 0.10± 0.01

angular observables and C′7/ C7are compatible with SMpredictions

−1.0 −0.5 0.0 0.5 1.0

Re(C ′7/C7)

−1.0

−0.5

0.0

0.5

1.0

Im(C′ 7/C

7)

flavio v2.0.0

SM

Constraints at 2σ

B(B → Xsγ)

B0 → K0Sπ

0γ

B0s → φγ

B0 → K∗0e+e−

Global

generated with Flavio [arXiv:1810.08132]

(paper is submitted to JHEP)18 / 28 David Gerick (LHCb collaboration) 10th LHCb IW: ”Rare Decays at LHCb: recent results”



Angular analysis of B-meson decays B+→ K∗+µ+µ− (9 fb−1)

Angular analysis of B+→ K∗+µ+µ− !NEW!

first full angular analysis of the decayB+→ K∗+

(→ K0

Sπ+)µ+µ−

first measurement of P ′5 outside the B0 decayusing the full LHCb dataset of Run 1 + 2 (2011 – 2018)

[LHCb-PAPER-2020-041] (in preparation)

data-set is split into four sub-sets: Run 1 + 2 and DD/LLK0

S decays inside (outside) the VELO → both daughter pions arereconstructed as long tracks (downstream tracks)

analysis overview:1) selection of signal candidates2) 4D fit to mass and angular dimensions3) result interpretation on Wilson coefficient C9

LHCb tracking detectors:

modified from

J.Phys.:Conf.Ser.664(2015)072047


https://iopscience.iop.org/article/10.1088/1742-6596/664/7/072047


Selection of signal candidates for B+→ K∗+µ+µ−

individual selection in each sub-setcut-based selection

basic kinematic and particleidentification cuts from triggerdecisions and central event filteringveto to B0→ K0

Sµ+µ− plus random π+

decaysremoving B+→ K∗+J/ψ events withdouble misidentification between µ+

and π+

multi-variate analysis to suppresscombinatorial background

BDTG from the TMVA toolkitselection yields 737± 34 signal decays

cumulated event yield in all q2 bins:

m(K0Sπ

+µ+µ−)[ MeV/c2]5200 5400 5600 5800 6000

Can

dida

tes/

8.5M

eV/c

2

0

100

200 LHCb preliminary

[LH

Cb-

PAP

ER

-202

0-04

1]



Angular fit strategy in B+→ K∗+µ+µ−[LHCb-PAPER-2020-041]

Strategy:1) 2D fit: m(K0

Sπ+µ+µ−) and m(K0

Sπ+) → get constraint on FS

2) 4D fit: m(K0Sπ

+µ+µ−), cos θL, cos θK and φ → angular observables2D fit and FS constraint:

S-wave fraction FS cannot be determined in the fine q2 bins with sufficient precisionthe 2D mass fits are performed in 3 larger q2 binsvalue of FS is scaled using predicted ratio of FL between the broader and finer binssimilar q2 dependence of FS and FL are assumed [JHEP11(2016)47]

fitting the m(K0Sπ

+µ+µ−) twice does not introduce bias4D fit:

simultaneous fit in 4 sub-sets (Run 1&2 and DD&LL)8+2 q2 bins, 5 different foldings, 2 observable bases: 100 final fits




Angular acceptance correction [LHCb-PAPER-2020-041]

simulated events with phase-space kinematics are used to evaluate angular acceptanceacceptance is parametrized using 4D-Legendre-polynomials:

ε(cos θL, cos θK , φ, q2) =∑

l,m,n,o

clmno × Pl(q2)× Pm(cos θL)× Pn(cos θK)× Po(φ).

acceptance correction is implemented via per-event weights into the fitsplit acceptance correction into 6 sub-sets:

DD and LL tracks and every two years combined: 2011+12, 2015+16 and 2017+18some major systematic studies are performed around the acceptance corrections:

statistics of the simulated event sample with phase-space kinematicsweighting of simulated events to match background subtracted dataparametrization of the 4D acceptance



Angular folding techniques [LHCb-PAPER-2020-041]

folding 0:φ → φ + π for φ < 0

folding 1:φ → −φ for φ < 0φ → π − φ for cos θL < 0

cos θL → − cos θL for cos θL < 0folding 2:

φ → −φ for φ < 0cos θL → − cos θL for cos θL < 0

folding 3:cos θL → − cos θL for cos θL < 0

φ → π − φ for φ > π2

φ → −π − φ for φ < −π2folding 4:

cos θL → − cos θL for cos θL < 0φ → π − φ for φ > π

2

φ → −π − φ for φ < −π2cos θK → − cos θK for cos θL < 0

observable moment 0 1 2 3 4FL cos2 θK (X) (X) (X) (X) XS3 sin2 θK sin2 θL cos 2φ (X) (X) (X) (X) XS4 sin 2θK sin 2θL cosφ XS5 sin 2θK sin θL cosφ XAFB sin2 θK cos θL XS7 sin 2θK sin θL sinφ XS8 sin 2θK sin 2θL sinφ XS9 sin2 θK sin2 θL sin 2φ X

determine FL and S3 (P1) from folding 4Systematic study showed no bias on FL and S3due to choice of folding



Statistical & systematic uncertainties and correlation matrices

correlation matrices:cannot obtain full correlationmatrices from the folded fitscorrelation matrix is obtained with3000 pseudo-samples using theBootstrapping methodmethod is validated and tested ongenerated samples

[LHCb-PAPER-2020-041]

statistical uncertainties:hints of over-/under-coverage in studies withpseudo-experimentsFeldman-Cousins profile scans

systematic uncertainties:parametrization and statistics of acceptance correction

data-simulation differences

background and signal models

angular resolution

FS constraint and general fit bias

peaking background veto

no single systematic is dominating



B+→ K∗+ (→ K0Sπ

+)µ+µ−: Angular observables Si [LHCb-PAPER-2020-041]

q2[ GeV2/c4]0 5 10 15

FL

0

0.5

1

J/ψ

ψ(2S

)

LHCb preliminarySM from ASZB

q2[ GeV2/c4]0 5 10 15

S3

-1

-0.5

0

0.5

1

J/ψ

ψ(2S

)


q2[ GeV2/c4]0 5 10 15

S4

-1

-0.5

0

0.5

1

J/ψ

ψ(2S

)


q2[ GeV2/c4]0 5 10 15

S5

-1

-0.5

0

0.5

1

J/ψ

ψ(2S

)


q2[ GeV2/c4]0 5 10 15

AFB

-1

-0.5

0

0.5

1

J/ψ

ψ(2S

)


q2[ GeV2/c4]0 5 10 15

S7

-1

-0.5

0

0.5

1

J/ψ

ψ(2S

)


q2[ GeV2/c4]0 5 10 15

S8

-1

-0.5

0

0.5

1

J/ψ

ψ(2S

)


q2[ GeV2/c4]0 5 10 15

S9

-1

-0.5

0

0.5

1

J/ψ

ψ(2S

)


ASZB SM predictions by [JHEP08(2016)098] and [Eur.Phys.J.C75(2015)382]

→ all result values plus their correlations are given in the backup25 / 28 David Gerick (LHCb collaboration) 10th LHCb IW: ”Rare Decays at LHCb: recent results”




B+→ K∗+ (→ K0Sπ

+)µ+µ−: Angular observables P (′)i [LHCb-PAPER-2020-041]

q2[ GeV2/c4]0 5 10 15

FL

0

0.5

1

J/ψ

ψ(2S

)


q2[ GeV2/c4]0 5 10 15

P1

-1.5

-1

-0.5

0

0.5

1

1.5

J/ψ

ψ(2S

)

LHCb preliminarySM from DHMVSM from ASZB

q2[ GeV2/c4]0 5 10 15

P2

-1.5

-1

-0.5

0

0.5

1

1.5

J/ψ

ψ(2S

)


q2[ GeV2/c4]0 5 10 15

P3

-1.5

-1

-0.5

0

0.5

1

1.5

J/ψ

ψ(2S

)


q2[ GeV2/c4]0 5 10 15

P′ 4

-1.5

-1

-0.5

0

0.5

1

1.5

J/ψ

ψ(2S

)


q2[ GeV2/c4]0 5 10 15

P′ 5

-1.5

-1

-0.5

0

0.5

1

1.5

J/ψ

ψ(2S

)


q2[ GeV2/c4]0 5 10 15

P′ 6

-1.5

-1

-0.5

0

0.5

1

1.5

J/ψ

ψ(2S

)


q2[ GeV2/c4]0 5 10 15

P′ 8

-1.5

-1

-0.5

0

0.5

1

1.5

J/ψ

ψ(2S

)


DHMV SM predictions by [JHEP06(2016)092] and [JHEP01(2018)093]

ASZB SM predictions by [JHEP08(2016)098] and [Eur.Phys.J.C75(2015)382]26 / 28 David Gerick (LHCb collaboration) 10th LHCb IW: ”Rare Decays at LHCb: recent results”






B+→ K∗+µ+µ−: Global fit to Wilson coefficient C9

evaluate results from Si observables inglobal fit to Wilson coefficient C9

excluded (6 < q2 < 15) GeV2/c4 regiondue to charmonium pollution intheoretical predictionsuse results from large bin(15 < q2 < 19) GeV2/c4

fit favours a ∆Re(C9) ≈ −1.9deviation from SM by 3.1σ when fittingfor best ∆Re(C9)

−4 −3 −2 −1 0 1 2∆Re(C9)

0

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generated with Flavio [arXiv:1810.08132]



Conclusion

Conclusion

upper B limits on 25 D+(s) decays, B0→ µ+µ−, B0

(s)→ e+e− and B+→ K+µ−τ+

combined ATLAS, CMS and LHCb result for B(B0s→ µ+µ−) and τ(B0

s→ µ+µ−)update on the B0→ K∗0µ+µ− with 2016 data confirmed tension to the SM of 3.3σand favoured ∆Re(C9) ≈ −1world-best measurement of the b→ sγ photon polarisation using B0→ K∗0e+e−

first measurement of all angular observables in B+→ K∗+µ+µ− using the full LHCbdataset, favouring ∆Re(C9) ≈ −1.9 at 3.1σ tension to the SM

A look into the future of rare decays at LHCb:Opportunities with Rare Decays in the LHCb upgrade by Marco Santimaria at 12:05

A full list of all publications on rare B meson decays results can be found athttp://lhcbproject.web.cern.ch/lhcbproject/Publications/LHCbProjectPublic/Summary RD.html


https://indico.cern.ch/

http://lhcbproject.web.cern.ch/lhcbproject/Publications/LHCbProjectPublic/Summary_RD.html

Conclusion

Thank you for your attention

LHCb event display ofB0→ K∗0µ+µ− candidate


Backup

Backup slides

Backup


Backup Introduction to rare decays at LHCb

Rare decays at LHCb

LHCb provides the perfect working environmentfor rare decays

decay attributes:. purely charged particle final state. semi-leptonic decays without neutrinos. huge cross-section at pp collisions

detector characteristics:. high trigger efficiencies and precise momentum

resolution. single particle identifications

→ large data-set of produced cc and bb pairs

[2008 JINST 3 S08005] [Int.J.Mod.Phys.A

30,1530022(2015)]

Experimental probes in EWPbranching fractionstests of CP conservationangular observablesLFU, LFV and LNV tests


https://iopscience.iop.org/article/10.1088/1748-0221/3/08/S08005

https://www.worldscientific.com/doi/abs/10.1142/S0217751X15300227

https://www.worldscientific.com/doi/abs/10.1142/S0217751X15300227

Backup Search for 25 rare charm decays

Search for 25 rare charm decays: normalization channel

The 25 rare charm decay searches are normalized and calibrated to the referencechannel D+

(s)→ π+φ with φ→ `+`−

the µ+µ− (e+e−) final state is given on the left (right)The D+ (D+

s ) signal component is shown as a dashed orange (green) line

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Backup Combination of B0(s)→ µ+µ− results from ATLAS, CMS and LHCb

B0(s)→ µ+µ−: Overlaid likelihood profiles from individual experiments

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with results from ATLAS [JHEP04(2019)098], CMS [JHEP04(2020)188] and LHCb [PRL118(2017)191801]4 / 22 David Gerick (LHCb collaboration) 10th LHCb IW: ”Rare Decays at LHCb: recent results”





Backup Search for the rare decays B0s→ e+e− and B0→ e+e−

B0s→ e+e− and B0→ e+e−: Mass plots of B+→ J/ψK+

The mass fits give an idea of the mass resolution in e+e− decaysBrem categories state the number of reconstructed bremsstrahlung photons

]2c) [MeV/+K−e+e(m5000 5200 5400 5600

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Backup Search for the rare decays B0s→ e+e− and B0→ e+e−

B0s→ e+e− and B0→ e+e−: Confidence Level scans

CLs values as a function of the branching fractions of the decays B0s→ e+e− (left)

and B0→ e+e− (right)

branching fraction−e+e →s0B

0 5 10 15 209−10×

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Backup Search for the LFV decay B+→ K+µ−τ+ using B∗0s2 decays

Search for the decay B+→ K+µ−τ+: missing mass projections

fits to the missing-mass-squared of the signal samplewith a same sign kaon fromB∗0s2 decay as the kaon from B+

The four BDT bins included inthe final fit are shown with bin1 being the mostbackground-like.Fits are performed with a fifthdegree polynomial for thebackground

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Backup CP-averaged observables in B0→ K∗0µ+µ−

B0→ K∗0µ+µ−: Comparison of angular observables Run 1 and 2016

]4c/2 [GeV2q0 5 10 15

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SM predictions by [JHEP08(2016)098] and [Eur.Phys.J.C75(2015)382]






B0→ K∗0µ+µ−: q2 trend of all P (′) obserables

]4c/2 [GeV2q0 5 10 15

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SM predictions by [JHEP12(2014)125] and [JHEP09(2010)089]






B0→ K∗0µ+µ−: Systematic uncertainty summary [PRL125(2020)011802]

Source FL AFB, S3–S9 P1–P8Acceptance stat . uncertainty < 0.01 < 0.01 < 0.01Acceptance polynomial order < 0.01 < 0.01 < 0.02Data-simulat ion dif erences < 0.01 < 0.01 < 0.01Acceptance variat ion with q2 < 0.03 < 0.03 < 0.09

m(K + π− ) model < 0.01 < 0.01 < 0.02Background model < 0.01 < 0.01 < 0.03

Peaking backgrounds < 0.02 < 0.02 < 0.03m(K + π− µ+ µ− ) model < 0.01 < 0.01 < 0.02

K + µ+ µ− veto < 0.01 < 0.01 < 0.01Trigger < 0.01 < 0.01 < 0.01

Bias correct ion < 0.02 < 0.02 < 0.04



Backup Angular analysis of the decay B+→ K∗+µ+µ−

B+→ K∗+µ+µ−: Values for the Si observables (1/2) [LHCb-PAPER-2020-041]

q2 [ GeV2/c4 ] FL S3 S4 S5

[0.1, 0.98] 0.341+0.103−0.100 ± 0.060 0.144+0.151

−0.144 ± 0.023 −0.041+0.170−0.161 ± 0.037 0.240+0.117

−0.148 ± 0.038[1.1, 2.5] 0.540+0.206

−0.178 ± 0.065 0.368+0.972−0.406 ± 0.027 0.288+0.342

−0.274 ± 0.034 0.440+0.377−0.319 ± 0.048

[2.5, 4.0] 0.175+0.231−0.321 ± 0.064 −0.121+0.664

−0.389 ± 0.015 −0.392+0.476−0.453 ± 0.038 −0.351+0.409

−0.314 ± 0.022[4.0, 6.0] 0.672+0.116

−0.139 ± 0.021 −0.204+0.157−0.193 ± 0.013 −0.373+0.201

−0.125 ± 0.049 −0.117+0.144−0.186 ± 0.029

[6.0, 8.0] 0.390+0.196−0.207 ± 0.013 −0.238+0.181

−0.171 ± 0.021 −0.209+0.200−0.183 ± 0.016 −0.070+0.159

−0.196 ± 0.018[11.0, 12.5] 0.389+0.235

−0.173 ± 0.016 −0.098+0.127−0.127 ± 0.017 −0.307+0.142

−0.165 ± 0.023 −0.429+0.137−0.163 ± 0.024

[15.0, 17.0] 0.412+0.211−0.141 ± 0.018 −0.259+0.122

−0.106 ± 0.026 −0.155+0.104−0.114 ± 0.015 −0.069+0.095

−0.100 ± 0.029[17.0, 19.0] 0.342+0.124

−0.106 ± 0.026 −0.133+0.197−0.167 ± 0.038 −0.273+0.137

−0.154 ± 0.058 −0.318+0.158−0.338 ± 0.042

[1.1, 6.0] 0.590+0.095−0.087 ± 0.025 −0.103+0.109

−0.108 ± 0.009 −0.200+0.126−0.137 ± 0.027 −0.036+0.120

−0.122 ± 0.021[15.0, 19.0] 0.396+0.131

−0.110 ± 0.028 −0.212+0.095−0.085 ± 0.029 −0.191+0.100

−0.132 ± 0.058 −0.118+0.075−0.073 ± 0.025



B+→ K∗+µ+µ−: Values for the Si observables (2/2) [LHCb-PAPER-2020-041]

q2 [ GeV2/c4 ] AFB S7 S8 S9

[0.1, 0.98] −0.050+0.116−0.123 ± 0.028 −0.008+0.188

−0.172 ± 0.015 0.215+0.215−0.198 ± 0.046 0.279+0.146

−0.123 ± 0.056[1.1, 2.5] −0.206+0.192

−0.226 ± 0.038 0.145+0.325−0.720 ± 0.024 0.057+0.397

−0.370 ± 0.041 0.045+0.368−0.301 ± 0.015

[2.5, 4.0] 0.028+0.281−0.257 ± 0.015 −0.152+0.489

−0.691 ± 0.030 0.043+0.746−0.578 ± 0.026 0.315+0.389

−0.356 ± 0.021[4.0, 6.0] −0.076+0.093

−0.096 ± 0.008 −0.043+0.183−0.202 ± 0.014 −0.072+0.206

−0.223 ± 0.025 −0.176+0.222−0.328 ± 0.023

[6.0, 8.0] −0.054+0.114−0.123 ± 0.010 −0.360+0.185

−0.154 ± 0.021 −0.189+0.181−0.155 ± 0.020 −0.108+0.210

−0.197 ± 0.018[11.0, 12.5] 0.542+0.207

−0.175 ± 0.051 −0.054+0.138−0.143 ± 0.014 0.064+0.140

−0.139 ± 0.014 0.189+0.236−0.187 ± 0.026

[15.0, 17.0] 0.404+0.041−0.094 ± 0.011 −0.236+0.107

−0.110 ± 0.018 −0.170+0.119−0.108 ± 0.015 0.140+0.122

−0.093 ± 0.016[17.0, 19.0] 0.137+0.122

−0.075 ± 0.017 0.057+0.162−0.155 ± 0.015 0.171+0.178

−0.159 ± 0.023 −0.077+0.153−0.146 ± 0.019

[1.1, 6.0] −0.082+0.071−0.077 ± 0.024 −0.101+0.111

−0.129 ± 0.014 0.016+0.130−0.141 ± 0.024 −0.048+0.108

−0.117 ± 0.014[15.0, 19.0] 0.307+0.056

−0.057 ± 0.039 −0.139+0.075−0.085 ± 0.011 −0.055+0.087

−0.092 ± 0.012 0.041+0.080−0.062 ± 0.021



B+→ K∗+µ+µ−: Values for the Pi observables (1/2) [LHCb-PAPER-2020-041]

q2 [ GeV2/c4 ] FL P1 P2 P3

[0.1, 0.98] 0.341+0.103−0.101 ± 0.064 0.435+0.381

−0.397 ± 0.106 −0.051+0.122−0.123 ± 0.033 −0.421+0.201

−0.213 ± 0.047[1.1, 2.5] 0.540+0.181

−0.188 ± 0.034 1.600+4.915−1.746 ± 0.317 −0.277+0.243

−0.418 ± 0.151 −0.091+0.701−0.990 ± 0.180

[2.5, 4.0] 0.175+0.239−0.141 ± 0.044 −0.294+1.426

−1.036 ± 0.223 0.026+0.255−0.253 ± 0.113 −0.448+0.504

−0.621 ± 0.204[4.0, 6.0] 0.672+0.108

−0.140 ± 0.031 −1.245+0.991−1.171 ± 0.291 −0.148+0.189

−0.203 ± 0.063 0.515+0.821−0.619 ± 0.150

[6.0, 8.0] 0.390+0.197−0.207 ± 0.018 −0.780+0.614

−0.695 ± 0.103 −0.057+0.116−0.130 ± 0.055 0.172+0.333

−0.307 ± 0.056[11.0, 12.5] 0.389+0.229

−0.160 ± 0.030 −0.319+0.441−0.517 ± 0.086 0.617+0.551

−0.145 ± 0.044 −0.323+0.294−0.654 ± 0.045

[15.0, 17.0] 0.412+0.176−0.136 ± 0.020 −0.882+0.413

−0.671 ± 0.071 0.446+0.034−0.072 ± 0.026 −0.232+0.164

−0.201 ± 0.017[17.0, 19.0] 0.342+0.107

−0.119 ± 0.037 −0.404+0.585−0.567 ± 0.093 0.141+0.096

−0.100 ± 0.044 0.119+0.210−0.212 ± 0.017

[1.1, 6.0] 0.590+0.095−0.096 ± 0.026 −0.505+0.560

−0.541 ± 0.076 −0.133+0.125−0.132 ± 0.045 0.117+0.274

−0.284 ± 0.045[15.0, 19.0] 0.396+0.125

−0.110 ± 0.022 −0.702+0.353−0.434 ± 0.066 0.336+0.092

−0.066 ± 0.035 −0.068+0.116−0.126 ± 0.033



B+→ K∗+µ+µ−: Values for the Pi observables (2/2) [LHCb-PAPER-2020-041]

q2 [ GeV2/c4 ] P ′4 P ′5 P ′6 P ′8

[0.1, 0.98] −0.086+0.356−0.353 ± 0.119 0.507+0.301

−0.284 ± 0.122 −0.017+0.396−0.345 ± 0.062 0.453+0.495

−0.391 ± 0.092[1.1, 2.5] 0.576+0.621

−0.564 ± 0.113 0.879+0.701−0.714 ± 0.104 0.255+1.216

−1.317 ± 0.082 0.116+0.750−0.761 ± 0.050

[2.5, 4.0] −0.808+1.087−0.842 ± 0.141 −0.867+1.005

−1.683 ± 0.092 −0.370+1.590−3.905 ± 0.054 0.115+7.892

−4.953 ± 0.071[4.0, 6.0] −0.795+0.474

−0.275 ± 0.092 −0.246+0.321−0.401 ± 0.086 −0.090+0.402

−0.413 ± 0.047 −0.153+0.437−0.482 ± 0.051

[6.0, 8.0] −0.430+0.412−0.455 ± 0.063 −0.145+0.403

−0.413 ± 0.065 −0.741+0.288−0.401 ± 0.026 −0.387+0.296

−0.393 ± 0.020[11.0, 12.5] −0.626+0.301

−0.342 ± 0.074 −0.878+0.282−0.336 ± 0.055 −0.111+0.284

−0.291 ± 0.025 0.132+0.292−0.303 ± 0.039

[15.0, 17.0] −0.317+0.225−0.218 ± 0.075 −0.141+0.212

−0.203 ± 0.061 −0.481+0.207−0.205 ± 0.022 −0.345+0.225

−0.224 ± 0.045[17.0, 19.0] −0.570+0.291

−0.358 ± 0.132 −0.665+0.364−0.801 ± 0.127 0.120+0.335

−0.328 ± 0.038 0.361+0.367−0.329 ± 0.073

[1.1, 6.0] −0.408+0.282−0.281 ± 0.067 −0.073+0.248

−0.251 ± 0.043 −0.206+0.234−0.234 ± 0.037 0.032+0.265

−0.276 ± 0.062[15.0, 19.0] −0.393+0.175

−0.211 ± 0.105 −0.241+0.158−0.160 ± 0.048 −0.285+0.190

−0.142 ± 0.031 −0.113+0.195−0.179 ± 0.027



B+→ K∗+µ+µ−: Correlations of Si observables (1/4) [LHCb-PAPER-2020-041]

[0.1, 0.98] FL S3 S4 S5 AFB S7 S8 S9FL 1 0.043 −0.010 0.029 0.045 0.125 −0.005 −0.113S3 1 −0.025 0.117 −0.015 0.018 0.059 0.025S4 1 −0.270 −0.091 −0.253 0.236 −0.061S5 1 0.103 0.216 −0.177 0.060AFB 1 0.186 −0.273 −0.064S7 1 −0.349 0.220S8 1 −0.082S9 1

[1.1, 2.5] FL S3 S4 S5 AFB S7 S8 S9FL 1 0.165 −0.047 0.107 0.115 0.040 −0.102 −0.028S3 1 0.056 0.093 −0.025 0.135 −0.013 −0.115S4 1 −0.018 0.172 0.050 0.325 0.089S5 1 0.196 0.221 −0.058 0.039AFB 1 0.203 0.114 0.116S7 1 0.062 0.162S8 1 0.215S9 1

[2.5, 4.0] FL S3 S4 S5 AFB S7 S8 S9FL 1 0.019 −0.007 0.061 −0.081 −0.017 −0.074 0.038S3 1 0.020 −0.057 −0.013 −0.027 0.072 0.016S4 1 0.000 −0.061 0.098 −0.048 −0.005S5 1 0.009 −0.070 0.004 −0.110AFB 1 0.052 0.056 −0.161S7 1 0.262 −0.142S8 1 −0.086S9 1




[4.0, 6.0] FL S3 S4 S5 AFB S7 S8 S9FL 1 0.201 −0.091 −0.091 0.073 0.008 0.155 −0.034S3 1 −0.076 −0.100 0.026 0.109 0.174 0.031S4 1 −0.081 −0.152 0.072 −0.035 0.048S5 1 −0.173 −0.017 0.092 −0.024AFB 1 −0.041 −0.027 −0.011S7 1 0.089 0.088S8 1 −0.081S9 1[6.0, 8.0] FL S3 S4 S5 AFB S7 S8 S9FL 1 0.263 −0.014 0.068 0.011 −0.043 0.062 0.054S3 1 0.013 −0.035 −0.053 0.083 −0.043 −0.004S4 1 0.352 0.022 −0.054 −0.028 −0.101S5 1 0.022 −0.106 −0.071 −0.166AFB 1 −0.048 −0.192 −0.134S7 1 −0.102 −0.055S8 1 0.035S9 1

[11.0, 12.5] FL S3 S4 S5 AFB S7 S8 S9FL 1 0.092 0.033 0.092 −0.444 −0.091 −0.133 −0.076S3 1 −0.079 −0.134 −0.076 −0.043 −0.042 −0.188S4 1 0.078 0.055 −0.047 −0.090 0.119S5 1 −0.297 0.053 −0.037 −0.100AFB 1 0.097 0.106 0.151S7 1 0.054 −0.067S8 1 −0.066S9 1




[15.0, 17.0] FL S3 S4 S5 AFB S7 S8 S9FL 1 0.195 0.039 0.069 −0.283 −0.058 −0.131 −0.071S3 1 −0.093 −0.057 0.036 0.013 −0.062 0.010S4 1 0.269 0.072 0.098 0.064 0.143S5 1 −0.153 0.092 −0.061 −0.134AFB 1 0.074 −0.022 0.161S7 1 0.231 0.024S8 1 0.003S9 1

[17.0, 19.0] FL S3 S4 S5 AFB S7 S8 S9FL 1 −0.100 −0.020 −0.098 −0.099 0.066 −0.098 −0.013S3 1 −0.076 0.061 0.088 0.013 0.075 −0.022S4 1 −0.058 −0.070 0.001 0.058 0.038S5 1 −0.194 −0.026 0.090 0.022AFB 1 0.168 0.014 −0.073S7 1 −0.168 0.103S8 1 −0.194S9 1




[1.1, 6.0] FL S3 S4 S5 AFB S7 S8 S9FL 1 0.170 −0.001 −0.018 0.007 0.041 0.084 0.057S3 1 −0.010 −0.024 −0.017 0.040 −0.034 −0.051S4 1 −0.030 0.056 −0.019 0.192 −0.013S5 1 0.008 0.143 0.044 0.043AFB 1 −0.047 0.041 0.054S7 1 0.166 −0.016S8 1 −0.014S9 1

[15.0, 19.0] FL S3 S4 S5 AFB S7 S8 S9FL 1 0.130 −0.046 −0.019 −0.172 −0.025 0.034 −0.046S3 1 −0.073 −0.004 −0.016 0.122 0.100 −0.050S4 1 0.046 −0.139 0.065 0.049 −0.021S5 1 0.049 −0.069 0.067 −0.055AFB 1 −0.102 −0.030 0.104S7 1 0.150 −0.009S8 1 −0.089S9 1



B+→ K∗+µ+µ−: Correlations of Pi observables (1/4) [LHCb-PAPER-2020-041]

[0.1, 0.98] FL P1 P2 P3 P ′4 P ′5 P ′6 P ′8FL 1 −0.141 0.023 −0.182 −0.027 0.002 0.123 −0.006P1 1 −0.002 −0.011 −0.027 0.167 0.009 0.027P2 1 0.024 −0.076 0.090 0.188 −0.238P3 1 0.055 −0.032 −0.206 0.040P ′4 1 −0.216 −0.232 0.151P ′5 1 0.184 −0.183P ′6 1 −0.251P ′8 1

[1.1, 2.5] FL P1 P2 P3 P ′4 P ′5 P ′6 P ′8FL 1 0.032 0.020 −0.008 −0.061 −0.008 0.047 −0.078P1 1 −0.054 −0.014 0.061 −0.089 −0.033 0.037P2 1 −0.053 0.151 0.118 0.103 0.127P3 1 −0.076 −0.073 −0.018 −0.127P ′4 1 0.025 −0.007 0.219P ′5 1 0.093 −0.079P ′6 1 −0.011P ′8 1

[2.5, 4.0] FL P1 P2 P3 P ′4 P ′5 P ′6 P ′8FL 1 0.004 0.001 0.022 −0.019 −0.034 −0.064 −0.030P1 1 0.003 0.041 0.041 0.000 −0.039 −0.061P2 1 0.069 −0.009 0.042 0.036 −0.034P3 1 −0.035 0.019 0.061 −0.015P ′4 1 0.072 0.060 0.081P ′5 1 −0.016 −0.086P ′6 1 0.209P ′8 1




[4.0, 6.0] FL P1 P2 P3 P ′4 P ′5 P ′6 P ′8FL 1 0.157 −0.096 0.019 −0.023 −0.084 0.019 0.080P1 1 −0.032 0.022 −0.076 0.026 0.026 0.081P2 1 0.042 −0.124 −0.137 −0.034 −0.053P3 1 −0.023 −0.016 −0.047 0.091P ′4 1 −0.108 −0.014 −0.098P ′5 1 −0.045 0.068P ′6 1 0.054P ′8 1[6.0, 8.0] FL P1 P2 P3 P ′4 P ′5 P ′6 P ′8FL 1 0.111 −0.097 0.014 −0.033 0.051 −0.049 −0.001P1 1 −0.036 0.011 0.013 −0.023 0.015 −0.063P2 1 0.117 −0.010 0.016 −0.046 −0.172P3 1 0.037 0.124 0.001 −0.041P ′4 1 0.251 −0.033 −0.011P ′5 1 −0.083 −0.059P ′6 1 −0.050P ′8 1

[11.0, 12.5] FL P1 P2 P3 P ′4 P ′5 P ′6 P ′8FL 1 −0.052 0.347 −0.093 0.001 0.039 −0.060 −0.138P1 1 −0.048 0.170 −0.086 −0.140 −0.035 −0.025P2 1 −0.155 0.118 −0.139 −0.004 0.073P3 1 −0.091 0.060 0.070 0.092P ′4 1 0.043 −0.028 −0.099P ′5 1 0.051 −0.010P ′6 1 0.064P ′8 1




[15.0, 17.0] FL P1 P2 P3 P ′4 P ′5 P ′6 P ′8FL 1 0.074 0.150 −0.091 0.084 0.094 0.003 −0.095P1 1 0.011 −0.050 0.000 −0.010 −0.002 −0.057P2 1 −0.226 0.096 −0.058 0.066 −0.031P3 1 −0.147 0.103 −0.028 0.019P ′4 1 0.274 0.094 0.051P ′5 1 0.095 −0.069P ′6 1 0.209P ′8 1[17.0, 19.0] FL P1 P2 P3 P ′4 P ′5 P ′6 P ′8FL 1 −0.101 0.095 0.074 0.016 −0.104 0.061 −0.080P1 1 0.063 0.043 −0.103 0.019 −0.015 0.065P2 1 0.075 −0.070 −0.163 0.130 −0.004P3 1 −0.083 0.028 −0.076 0.174P ′4 1 −0.081 −0.033 0.049P ′5 1 0.003 0.079P ′6 1 −0.118P ′8 1




[1.1, 6.0] FL P1 P2 P3 P ′4 P ′5 P ′6 P ′8FL 1 0.111 −0.194 0.013 −0.014 −0.022 0.016 0.079P1 1 −0.046 0.073 0.010 −0.010 0.001 −0.038P2 1 −0.063 0.040 0.004 −0.050 0.012P3 1 0.015 −0.039 0.013 0.009P ′4 1 −0.033 −0.019 0.175P ′5 1 0.140 0.043P ′6 1 0.171P ′8 1

[15.0, 19.0] FL P1 P2 P3 P ′4 P ′5 P ′6 P ′8FL 1 −0.003 0.029 −0.012 0.004 0.006 0.027 0.051P1 1 0.009 0.039 −0.065 0.035 0.029 0.085P2 1 −0.065 −0.128 −0.002 −0.124 −0.029P3 1 0.026 0.042 0.022 0.079P ′4 1 −0.001 0.122 0.037P ′5 1 −0.090 0.073P ′6 1 0.167P ′8 1


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