Effects of high-scale non-universalities in SUGRA to the ...hep.ps.uci.edu/~wclhc10/subho_uci.pdf · Effects of high-scale non-universalities in SUGRA to the low-scale observables

Effects of high-scale non-universalities in SUGRA to thelow-scale observables at the LHC

Subhaditya Bhattacharya

Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 1

References

JHEP 0710:080,2007, arXiv:0708.2427 [hep-ph] [SB,

AseshKrishna Datta and Biswarup Mukhopadhyaya]

Phys.Rev.D78:035011,2008, arXiv:0804.4051 [hep-ph][SB, AseshKrishna Datta and Biswarup Mukhopadhyaya]

Phys.Rev.D78:115018,2008, arXiv:0809.2012 [hep-ph][SB, AseshKrishna Datta and Biswarup Mukhopadhyaya]

Phys.Rev.D81:015007,2010, arXiv:0903.4196 [hep-ph][SB, Joydeep Chakrabortty]

Phys.Rev.D81:075009,2010, arXiv:0907.3428 [hep-ph][SB, Utpal Chattopadhyay, Debajyoti Chowdhury, Debottam Das and Biswarup

Mukhopadhyaya]


Plan of the talkBasic ideas

Non-universal gaugino masses

Non-universal scalar masses

Models

Phenomenology

Collider Signature

Summary


Basic Ideas: SUGRA

mSUGRA: m0, M1/2, A0, sgn of µ, and tan β −→ Wellstudied


Basic Ideas: SUGRA


Deviations from mSUGRA:

Non-universal M1/2: Non-universal Gaugino mass

Non-universal m0 : Non-universal Scalar mass


Basic Ideas: SUGRA





NUGM alters chargino-neutralino mass composition and∆mg̃−χ̃. NUSM alters scalar mass hierarchy and decaybranching fractions of g̃.


Basic Ideas: SUGRA





NUGM alters chargino-neutralino mass composition and∆mg̃−χ̃. NUSM alters scalar mass hierarchy and decaybranching fractions of g̃.

LHC is on −→ Can we distinguish these models frommSUGRA in signature space?


Non-universal gaugino mass: SUSY-GUT SU(5) and SO(10)

Gauge Kinetic Function: Incorporate terms with ΦN :

fαβ(Φj) = f0(Φ

S)δαβ +∑

N

ξN(Φs)ΦN

αβ

M




fαβ(Φj) = f0(Φ

S)δαβ +∑

N

ξN(Φs)ΦN

αβ

M

Representations (to which φN can belong):




fαβ(Φj) = f0(Φ

S)δαβ +∑

N

ξN(Φs)ΦN

αβ

M


For SU(5):

(24× 24)symm = 1 + 24 + 75 + 200




fαβ(Φj) = f0(Φ

S)δαβ +∑

N

ξN(Φs)ΦN

αβ

M


For SU(5):

(24× 24)symm = 1 + 24 + 75 + 200

For SO(10):

(45× 45)symm = 1 + 54 + 210 + 770


NUGM: Ratios for SU(5) and SO(10) Representations

GUT Representation M3 : M2 : M1 at MGUT

SU(5) 24 1:(-3/2):(-1/2)

SU(5) 75 1:3:(-5)

SU(5) 200 1:2:10

SO(10) 54: H → SU(4)× SU(2)× SU(2) 1:(-3/2):(-1/2)

SO(10) 770: H → SU(4)× SU(2)× SU(2) 1:(2.5):(1.9)

Table 1: Gaugino mass ratios for SU(5) and SO(10) SUSY-GUT.

(Ellis et al. Phys. Lett.B 155(1985)381 etc..)

(SB and Joydeep Chakrabortty, PRD81,015007)


Two major steps after identifying SUGRA model:

Run down by RGE

Ensure REWSB: EWSB scale at √mt̃Lmt̃R

LSP: Lightest Neutralino χ̃10

Compatibility with different constraints (b −→ sγ, DM,Higgs mass etc...)


Two major steps after identifying SUGRA model:

Run down by RGE

Ensure REWSB: EWSB scale at √mt̃Lmt̃R

LSP: Lightest Neutralino χ̃10

Compatibility with different constraints (b −→ sγ, DM,Higgs mass etc...)

Collider simulation


Collider simulation: General strategy

Event generator Pythia 6.4.

Simulate for pp collision with ECM= 14 TeV

Generate leading order 2 → 2 SUSY processes with alldecay chains open






Choice of pdfset, factorisation and renormalisation scaleaffects






Choice of pdfset, factorisation and renormalisation scaleaffects

Go to Ratio space of signals to reduce uncertainty

Compare ’signals’ of different models at same g̃ mass


Collider simulation: Channels

Channels searched for include:

Opposite sign dilepton (OSD) :(ℓ±ℓ∓) + (≥ 2) jets + ET/

Same sign dilepton (SSD) : (ℓ±ℓ±) + (≥ 2) jets + ET/

Trilepton with jets (3ℓ+ jets): 3ℓ + (≥ 2) jets + ET/

Hadronically quiet trilepton* ((3ℓ)): 3ℓ + 0 jets + ET/

Inclusive 4l (4ℓ): 4ℓ + X + ET/


Collider simulation: Channels

Channels searched for include:

Opposite sign dilepton (OSD) :(ℓ±ℓ∓) + (≥ 2) jets + ET/

Same sign dilepton (SSD) : (ℓ±ℓ±) + (≥ 2) jets + ET/

Trilepton with jets (3ℓ+ jets): 3ℓ + (≥ 2) jets + ET/

Hadronically quiet trilepton* ((3ℓ)): 3ℓ + 0 jets + ET/

Inclusive 4l (4ℓ): 4ℓ + X + ET/

Large ET/ for R-parity (R = (−1)3B+L+2S) conservingSUSY, carried by LSP

Appropriate cuts to reduce background


NUGM in SU(5) : Sample Result

0

0.2

0.4

0.6

0.8

1

1.2

1.4

15001000500

(1l+

Jets

)/O

SD

Gluino mass

Universal2475

200

0

50

100

150

200

15001000500

Jets

/OS

D

Gluino mass

Universal2475

200

Figure 1: Event ratios in SU(5): mf̃ =500 GeV, µ =300GeV, tan β = 40


NUGM can lead to a difficult region

Consider:

Squarks and Gluinos very heavy

Sleptons and Electroweak gauginos light



Consider:



Need NUGM: M3 >> M2,M1



Consider:




Possible from GUT motivated NUGM: a linearcombination of α1+ β24+ γ75 in SU(5) to break theGUT group



Consider:




Possible from GUT motivated NUGM: a linearcombination of α1+ β24+ γ75 in SU(5) to break theGUT group

Hadronically quiet trileptons are most useful here


A scan in the 3l signature space

100

150

200

250

300

350

400

450

500

60 80 100 120 140 160 180

M2

M1

100

150

200

250

300

350

400

450

500

50 100 150 200 250

M2

M1

Figure 2: Significance contours for 3ℓ events, for 100 fb−1. Top left: mℓ̃ = 200 GeV,Top right: mℓ̃ = 300 GeV, Red: σ ≥ 5, Blue: 3 ≤ σ < 5, Black: 2 ≤ σ < 3


NUSM: 3rd family non-universality

Choose 1,2 gen scalars ≃ TeV−→ keep CP-violation andFCNC under control

3rd gen squarks light −→Naturalness

mHu and mHdlight−→ naturalness and REWSB.


NUSM: 3rd family non-universality

Choose 1,2 gen scalars ≃ TeV−→ keep CP-violation andFCNC under control

3rd gen squarks light −→Naturalness

mHu and mHdlight−→ naturalness and REWSB.

A large region allowed by DM constraint (Higgs FunnelRegion)

Larger leptonic final states

(SB et al.; PRD 78,115018)


NUSM: Model 4

0 250 500 750 1000m1/2 (GeV)

0

2500

5000

7500

10000

m0 (

GeV

)

mh=111

mh=114

tanβ=10A0=0, µ>0

NUSM

b s+γ

0 250 500 750 1000m1/2(GeV)

0

2500

5000

7500

10000

m0(

GeV

)

111 114

b−>s+γ

tanβ=15A0=0, µ>0

Bs−>µ+µ−

mh

NUSM

0 500 1000 1500m1/2 (GeV)

0

2000

4000

6000

m0 (

GeV

)

tanβ=40A0=0,µ>0

NUSM

b−>s+γ

mh=111

Bs−>µ+µ−

114

Figure 3: NUSM: m1/2 −m0 plane for tanβ = 10, tanβ = 15 and tanβ = 40.


Summarize main results:

NUGM: Models with M3 < M1,2 distinguishable throughsuppression in leptonic final states




Distinction of non-universal models: easier once CDMconstraint imposed





NUSM: Very heavy 1,2 generation squarks and lighterthird family −→ distinguishable with larger leptonic finalstates





NUSM: Very heavy 1,2 generation squarks and lighterthird family −→ distinguishable with larger leptonic finalstates

Hadronically quiet trileptons essential to explore very highmg̃ and mq̃, but, lighter mχ̃ and mℓ̃ −→ may arise fromSUSY-GUT


On-going works in similar direction

NUHM and tau polarisation: With S. Biswas et al.




NUGM: Inclusion of intermediate scale for SO(10): WithJ. Chakrabortty et al.





Most favorable SUGRA scenario at LHC: with S. Nandi





Most favorable SUGRA scenario at LHC: with S. Nandi

Correlation of final state particles in a favorable SUSYmodel: With K. Hagiwara et al.


Thank You


Documents

Effects of high-scale non-universalities in SUGRA to the ...hep.ps.uci.edu/~wclhc10/subho_uci.pdf · Effects of high-scale non-universalities in SUGRA to the low-scale observables