D 0 K + mass spectra D 0 K + mass spectra for: for: B + D 0 D 0 K + B + D 0 D 0 K + B 0 D - D 0 K + B 0 D - D 0 K + B 0 D* - D 0 K + B 0 D* - D 0 K + for

DD00KK++ mass spectra mass spectra for:for: BB++ D D00DD00KK++

BB00 D D--DD00KK++

BB00 D* D*--DD00KK++

for for 25250fb0fb-1 -1

(exp7-3(exp7-377))

Jolanta Brodzicka, Henryk Palka Jolanta Brodzicka, Henryk Palka INP KrakowINP Krakow ICPV meeteingICPV meeteingAugust 5, August 5, 20042004

Outline :Outline : BB++ D D00DD00KK++ BB00 D D--DD00KK++ BB00 D* D*--DD00KK++ for for 250fb250fb-1-1

Dalitz plots and projectionsDalitz plots and projections

BBackground subtracted M(Dackground subtracted M(D00KK++) distributions ) distributions

DDsJsJ(2573) & D(2573) & DsJsJ(2720) (2720)

AAngular distrbutions ngular distrbutions

E

N/7

.5M

eV for Mbc >5.273 GeV

N/2

.5M

eV

Mbc

for E<18MeV

Fitting method:Fitting method: 2-2-dimdim M Mbc bc vs.vs. E unbinned E unbinned likelihoodlikelihood fit fit::

L_Sig(L_Sig(MMbc, bc, E)E) = = SS••( ( G (G (MMbcbc) ) •• G ( G (E) E) ) )

+ + SS••( G (( G (MMbcbc) ) •• G ( G (E) E) ))

+ + SS22••( G (( G (MMbcbc) ) •• G ( G (E) E) ))22

L_Bckg (L_Bckg (MMbc, bc, E)E) = B = B••ARG (ARG (MMbcbc) ) •• POL_2 ( POL_2 (EE)) L= L_Sig + L_Bckg L= L_Sig + L_Bckg

LR > 0.04LR > 0.04BB++ D D00DD00KK++

S = 1S = 14545..22 ±± 1177..33

GG00((E) = E) = --00..2727E-0E-022 ±± 0. 0.0077E-02E-02 GeV GeV

((E) = 0.E) = 0.5500E-0E-022 ±± 0. 0.0066E-0E-02 2 GeV GeV

GG00(Mbc) = 5.28(Mbc) = 5.281144 ±± 0.000 0.00033 GeV GeV

(Mbc) = 0.(Mbc) = 0.2424E-02 E-02 ±± 0. 0.0022E-0E-022 GeV GeV

SS , , SS22 : regions: regions with missing with missing ,2,2

Fit result:Fit result:

JJolanta olanta BrodzickaBrodzicka, Henryk Pa, Henryk Pallkaka INP Krakow ICPV August 05, 2004INP Krakow ICPV August 05, 2004

SS/B=0.55/B=0.55

BB00 D D--DD00KK++ LR > 0.01LR > 0.01

S = S = 11991.1.33 ±± 1199..22

GG00((E) = E) = - -00.1.177E-0E-022 ±± 0. 0.0077E-02E-02 GeV GeV

((E) = 0.E) = 0.5757E-0E-022 ±± 0. 0.0606E-0E-022 GeV GeV

GG00(Mbc) = 5.28(Mbc) = 5.280808 ±± 0.000 0.00033 GeVGeV


E

N/7

.5M


N/2

.5M

eV

Mbc

for E<18MeV

Fit result (Fit result (for fully reconstructed region):for fully reconstructed region):


SS/B=0.46/B=0.46

BB00 D D**--DD00KK++ LR > 0.0LR > 0.00505

S = S = 222222..4 4 ±± 2121..55

GG00((E) = E) = - -00..3636E-0E-022 ±± 0. 0.0099E-02E-02 GeV GeV

((E) = 0.E) = 0.9999E-0E-022 ±± 0. 0.1010E-0E-022 GeV GeV

GG00(Mbc) = 5.28(Mbc) = 5.281414 ±± 0.000 0.00033 GeVGeV


E

N/7

.5M


N/2

.5M

eV

Mbc

for E<30MeV

Fit result (Fit result (for fully reconstructed region):for fully reconstructed region):


SS/B=0.82/B=0.82

ModeModeSignalSignal

for 140fbfor 140fb-1-1eff eff [ 10[ 10-4 -4 ]] BF [ 10BF [ 10--3 3 ]]

SignalSignal

for for 250250fbfb-1-1

BB++ D D00DD00KK++ 94.4 ± 13.094.4 ± 13.0 4.80 ± 4.80 ± 0.140.14

1.30 ± 0.18 ± 1.30 ± 0.18 ± 0.210.21

114545..22 ±± 1177..33

BB0 0 D D--DD00KK++ 127.6 ± 127.6 ± 15.315.3

6.98 ± 6.98 ± 0.140.14

1.68 ± 0.20 ± 1.68 ± 0.20 ± 0.250.25

119191..33 ±± 1199..22

BB0 0 D D**--DD00KK++ 87.0 87.0 ± ± 10.610.6 1.91 1.91 ± ± 0.070.07

2.99 2.99 ± ± 0.37 0.37 ± ± 0.530.53

222.4 ± ± 21.521.5

BF calculations based on 140fbBF calculations based on 140fb-1-1


(4160)(4160)

(3770)(3770)

DDsJsJ(2573)(2573)

M2( D0K+ )

DDsJsJ(2720)(2720)

Dalitz plot and projections for Dalitz plot and projections for Background:Background: ellielliptical strip ptical strip 66 to to 1010

in in MbcMbc, , EE, surrounding the signal region, surrounding the signal region

BB++ D D00DD00KK++

M( D0 K+ )

N /

20

MeV

N /

20

MeV

M( D0D0 )

M( D0K+ )

M2(

D0D

0 )

for signal-box events :for signal-box events : Mbc > 5.273 GeV Mbc > 5.273 GeV EE<16 MeV (~3<16 MeV (~3 ) )

LR > 0.04LR > 0.04

(3770)(3770)(4160)(4160)

(4040)(4040)

DDsJsJ(2573)(2573)

DDsJsJ(2720)(2720)

(3770)(3770) reflectionreflection

(4160) reflection possible (4160) reflection possible

N /

20

MeV


DDsJsJ(2720)(2720) reflectionreflection

DDsJsJ(2720) (2720) DDsJsJ(2573)(2573)

Dalitz plot and projectionsDalitz plot and projections BB00 D D--DD00KK++ M

2(

D0D

- )

M2( D0K+ )

M( D0K+ ) M( D-K+ )

M( D-D0 )

N /

20

MeV

for signal-box events :for signal-box events : Mbc > 5.273 GeV E<18 MeV (~3 )

N /

20

MeV

N /

20

MeV

LR > 0.01LR > 0.01

DDsJsJ(2720)(2720)

DDsJsJ(2573)(2573)

BackgroundBackground normalized normalized to to number of bckgd. number of bckgd. events in events in signal boxsignal box


DDsJsJ(2720) (2720)

DDsJsJ(2573)(2573)

Dalitz plot and projectionsDalitz plot and projections BB00 D D**--DD00KK++ M

2 (

D0K

+ )

M2 ( D0D*- )

M( D0K+ ) M( D*-K+ )

M( D*-D0 )

N /

20

MeV

for signal-box events :for signal-box events : Mbc > 5.273 GeV E<30 MeV (~3 )

N /

20

MeV

N /

20

MeV

LR > 0.0LR > 0.00505

DDsJsJ(2720)(2720) DDsJsJ(2573)(2573)

BackgroundBackground


M(DM(D00KK++) ) background subtracted distributionsbackground subtracted distributions2dim 2dim MMbc bc vs.vs. E E fit fitss in in M( D M( D00KK+ + ) bins) bins B signal in M( D0K+ ) bins

fitted Signal with error M( D0K+ )

Sig

nal /

50M

eV

Sig

nal /

50M

eV

BB00 D D--DD00KK++

BB++ D D00DD00KK++

•peak at 2.720 GeV seen, no DDsJsJ(2573) (2573)

• DDsJsJ(2573) (2573)

and DDsJsJ(2720) (2720)

observedobserved

M(D0D0)>3845• (3770) (3770) region removed:

• is the (4160) (4160) contributing tocontributing to 2720 2720 peak peak?


BB00 D* D*--DD00KK++

Sig

nal /

50M

eV

M( D0K+ )

• DDsJsJ(2573) (2573)

and DDsJsJ(2720) (2720)

observedobserved


M(D0D0) for M(D0K+) > 2.9GeV ( ≡ ½ of the (4160)(4160) helicity distr.)

Sig

nal /

50

MeV

(4160)(4160)

M(D0 D0)

(4160)(4160) contribution to the 11± 5 events

Reflection shape: according to cos2 angular distribution of the polarized (4160)(4160)

M(D0 D0)

Sig

nal /

50

MeV

(4160)(4160)

(3770)(3770)

M(DM(D00DD00) background subtracted distribution) background subtracted distribution for for BB++ D D00DD00KK++

M( D0K+ ) peak at 2.7GeV contributed to the (4160)(4160) and vice versa (they overlap on Dalitz plot)

To estimate of the (4160)(4160) contribution to the 2.7GeV peak:

DDsJsJ(2720) (2720)

• rresonances described by non-relativistic Breit-Wigneresonances described by non-relativistic Breit-Wignerss• Phase Space Phase Space (nonresonant component) is described by (nonresonant component) is described by linear functionlinear function

Fits to background subtracted Fits to background subtracted D0K+ mass spectra (1)mass spectra (1)S

ign

al /

50

MeV

Sig

nal /

50

MeV

fitted B Signal

M( D0K+ )

N = N = 6767..77 ± 1 ± 122.0.0M = 27M = 270000 ± ± 1515 MeV MeV = = 162162 ± ± 4444 MeV MeV

DDsJsJ(2720) (2720)


M( D0K+ ) – M(D0K+)„right” - ”wrong” flavour combinations

to remove reflections from charmonium states

N = N = 6565..11 ± ± 88..44M = 27M = 271010 ± ± 77 MeV MeV = = 112112 ± 2 ± 222 MeV MeV

DDsJsJ(2720) (2720)

BB++ D D00DD00KK++ BB++ D D00DD00KK++

non-resonant component + reflection from (4160)(4160)

• rresonances described by non-relativistic Breit-Wigneresonances described by non-relativistic Breit-Wignerss• DDsJsJ(2573)(2573) the convolutionthe convolution BW BW G( G(=50MeV)=50MeV) is used is used• Phase Space Phase Space (nonresonant component) is described by (nonresonant component) is described by linear functionlinear function

Fits to background subtracted Fits to background subtracted D0K+ mass spectra (2)mass spectra (2)S

ign

al /

50

MeV

Sig

nal /

50

MeV

fitted B Signal

M( D0K+ )

N = N = 113.7113.7 ± 14. ± 14.44M = 271M = 27100 MeV MeV fixedfixed = = 110110 MeV MeV fixedfixed

N = 1N = 122.3 ± .3 ± 33..66 M = 25M = 257373 MeV MeV fixedfixed = 15 MeV fixed= 15 MeV fixed

DDsJsJ(2720) (2720) DDsJsJ(2573) (2573)

BB0 0 D D--DD00KK++


N = N = 113113..22 ± 1 ± 199.0.0M = 271M = 27100 MeV MeV fixedfixed = = 110110 MeV MeV fixed fixed

N = N = 3232..55 ± ± 77..99 M = 25M = 257373 MeV MeV fixedfixed = 15 MeV fixed= 15 MeV fixed

DDsJsJ(2720) (2720) DDsJsJ(2573) (2573)

BB0 0 D D**--DD00KK++

M( D0K+ )

Yield M MeV MeVMeV 2/ndf

114 ±±1414

2705 ±±77 110 fixed 15/13

131 ±±2020

2710 fixed

151 ±±3434 14.5/13

138 ±±1919

2695 ±±1111 166 ±±3131 15.4/13

Fit Fit variants:variants:

Angular distribution Angular distribution Helicity angle Helicity angle : : angle between angle between KK++ momentum inmomentum in D D00KK++ rest frame rest frame

and and DD00KK++ momentum (the boost direction) in B rest framemomentum (the boost direction) in B rest frame

DD0K+

D0

K+

B

coscos distribution obtained using distribution obtained using

2-dim 2-dim MMbc bc vs.vs. E E fit in fit in each coseach cos bin bin (to subtract background)(to subtract background)

fitted fitted B B Signal corrected for acceptanceSignal corrected for acceptance

DDSJSJ (2573) region:(2573) region: B B0 0 D D--DD00KK+ + signal-box signal-box

2.54 < M(D2.54 < M(D00KK++) < 2.6 GeV () < 2.6 GeV (30 MeV window )30 MeV window )

coscos Compatible withCompatible with J=2 J=2

coscos JJolanta olanta BrodzickaBrodzicka, Henryk Pa, Henryk Pallkaka INP Krakow ICPV August 05, 2004INP Krakow ICPV August 05, 2004

Acceptance for MCAcceptance for MC::

BB0 0 D D-- DDsJsJ(2573)(2573) (K)(K)

For DDsJsJ(2573)(2573) J=2 J=2

Ang.distribution:Ang.distribution: 9cos9cos44 - 6cos - 6cos22 + 1 + 1

(previously 3-body D(previously 3-body D--DD00K+K+ MC used)MC used)

Eff

. corr

ecte

d s

ign

al

Eff

. corr

ecte

d s

ign

al

Angular distribution (2) Angular distribution (2) DDsJsJ (2720) region:(2720) region: B B DD DD00KK+ + signal-box signal-box

2.64 < M(D2.64 < M(D00KK++) < 2.8 GeV () < 2.8 GeV (80MeV window )80MeV window )

BB0 0 D D--DD00KK++

BB++ D D00DD00KK+ +

coscos

fitted fitted B B Signal corrected for acceptanceSignal corrected for acceptance

Eff

. corr

ecte

d s

ign

al

Eff

. corr

ecte

d s

ign

al

coscos

coscos

coscos

Acceptance for signal MCAcceptance for signal MC BB+ + D D0 0 DDsJsJ(2720)(2720) (K)(K)

For DDsJsJ(2720)(2720) J=2 assumedJ=2 assumed

Ang.distribution:Ang.distribution: 9cos9cos44 - 6cos - 6cos22 + + 11(previously 3-body D(previously 3-body D00DD00K+K+ MC MC used)used)


Acceptance for signal MCAcceptance for signal MC

BB0 0 D D-- DDsJsJ(2720)(2720) (K)(K)

For DDsJsJ(2720)(2720) J=2 assumedJ=2 assumed

(previously 3-body D(previously 3-body D--DD00K+K+ MC MC used)used)

Eff

. corr

ecte

d s

ign

al

Eff

. corr

ecte

d s

ign

al

Backup slidesBackup slides


selection cutsselection cuts accepted events : R2< 0.3

tracks : IP_dz< 5cm IP_dr< 0.4cm

K± : P(K/) > 0.4 ± : P(/K) > 0.1 electron veto: el_id < 0.95

K0S : M(+ -) - MKs <15MeV only good K0

s accepted

0 : E >50 MeV M( ) -M0 <15MeV

DD(**) reconstructionreconstruction D0 K, K3, K0, Ks, KK BF ~ 28% of total

D± K, Ks, KK, KsK BF ~ 12% of total

M(D)-M(DPDG) < 20MeV ( D0 K0 : -50MeV )

vertex fit (cl > 0.) and mass constraint fit applied p(D) < 2 GeV in (4S) system

D(*) ± D0 ± M(D*)-M(D)-mPDG) < 2.5MeV vertex fit (cl > 0.)

BB DD(**)DD(**)KK reconstruction reconstruction B vertex fit: with IP and B constraints

Mbc > 5.2 GeV -0.40 < E < 0.35 GeV

AnalysisAnalysis method method


Multi-candidates events treatmentMulti-candidates events treatment

D probabilities (D probabilities ( LRLR_D _D ):):

LR_D ( MLR_D ( MD D ))= B(MB(MDD))

S(MS(MDD))

S(MS(MDD))++

S(MD), B(MD) parameterization from

fits

to data ( inclusively reconstructed

D0, D± in each decay mode separately )

D plots for ~11fb-1 after preselection

p(D) < 2GeV in (4S) system

B probability ( LR_B )B probability ( LR_B )::

LR_B = LR_DLR_B = LR_D11 ×× LR_D LR_D22

LR_BLR_B used also for used also for backgroundbackground discriminationdiscrimination

equal LR_B case: larger K±_ID candidate chosen

best B candidate : with max LR_Bmax LR_B

MMDD

DD00 K K

MMDD

DD00 K3K3

MMDD

DD±± KKss

MMDD

DD±± KK MMDD

DD00 KK00

LR_DLR_D

LR_DLR_D

LR_DLR_D

LR_DLR_D LR_DLR_D


Background subtracted mass distributionsBackground subtracted mass distributions

BB++ D D00DD00KK++

M( D0D0 ) M( D0K+ )

wrong flavour comb.wrong flavour comb.

Sig

nal /

50M

eV

Sig

nal /

50M

eV



Angular distribution uncorrected for acceptance Angular distribution uncorrected for acceptance fitted fitted B B SignalSignal

coscos

coscoscoscos

DDSJSJ (2573) region:(2573) region: B B0 0 D D--DD00KK+ + signal-box signal-box

2.54 < M(D2.54 < M(D00KK++) < 2.6 GeV ) < 2.6 GeV

DDsJsJ (2720) region:(2720) region: B B DD DD00KK+ + signal-box signal-box

2.64 < M(D2.64 < M(D00KK++) < 2.8 GeV ) < 2.8 GeV

BB++ D D00DD00KK++ BB0 0 D D--DD00KK++

BB0 0 D D--DD00KK++


B B D D((**))DD((**))KK : good place to explore spectroscopy: : good place to explore spectroscopy:

b b cW cW -- c c s c c s ++ dd (uu) dd (uu) DD((**)) K from W vertexK from W vertex

BB0 0 D D--DD00KK++

Physics motivations Physics motivations

Leading quark diagrams:Leading quark diagrams:

only External diagramonly External diagram DD00KK++ is theis the only only non-exotic comb., non-exotic comb., DD**--DD0 0 have > 2q contenthave > 2q content

BB++ D D00DD00KK++

External + Internal diagrams External + Internal diagrams Both DK and DDBoth DK and DD states expected states expected DD00KK++ is exotic is exotic

_

BB0 0 D* D*--DD00KK++

Documents

D 0 K + mass spectra D 0 K + mass spectra for: for: B + D 0 D 0 K + B + D 0 D 0 K + B 0 D - D 0 K + B 0 D - D 0 K + B 0 D* - D 0 K + B 0 D* - D 0 K + for