Productions of second Kaluza-Klein gauge bosons in the minimal universal extra dimension model at LHCMasato Yamanaka (Tokyo university, ICRR)

CollaboratorsShigeki Matsumoto Joe Sato Masato Senami

PHYSICAL REVIEW D 80, 056006 (2009)

Introduction Universal Extra Dimension (UED) modelModel discrimination at LHC

Motivation

Minimal Universal Extra Dimension (MUED) model [ Appelquist, Cheng, Dobrescu PRD67

(2000) ] 5-dimensions

All SM particles propagate in spatial extra dimension

(time 1 + space 4)

R

4D spacetime

S1

New parameters in UED modelsR : compactification scale of extra dimensionL : cutoff scale of UED model

S /Z orbifolding21

Minimal Universal Extra Dimension (MUED) model [ Appelquist, Cheng, Dobrescu PRD67

(2000) ] 5-dimensions

All SM particles propagate in spatial extra dimension

(time 1 + space 4)

R

4D spacetime

S1

S /Z orbifolding21

Many Kaluza-Klein (KK) particles for one SM particle

FSM particle

F F FKK particle

(1)

(2), , ……

,(n)

Mass spectrum 1/R, 2/R, …..…, n/R

(0)

Model discrimination at LHC

protonprotong(1) q(1)

qZ(1) l (1)

l

g(1)Missing energy

q lMUED collider event

Model discrimination at LHC

protonprotong q

qZ l

l

gMissing energy

q l

protonprotong(1) q(1)

qZ(1) l (1)

l

g(1)Missing energy

q l

~ ~ ~ ~ ~

MUED collider event

SUSY collider event

Quite similar and difficult to discriminate !

Model discrimination at LHC

F F Supersymmetric particle

SM particle

SUSY

MUED FSM particle

F F FKK particle

(1)

(2), , ……

,(n)

～

Model discrimination at LHC

F F Supersymmetric particle

SM particle

SUSY

MUED FSM particle

F F FKK particle

(1)

(2), , ……

,(n)

～

(2)(0)

(0)

f

f

V Second KK particle can couple with SM particles directly

[ Datta, Kong, Matchev PRD72 (2005) ]

[ Cheng, Matchev, Schmaltz PRD66 (2002) ]

Mass reconstruction from dilepton clean signal

Second KK photon (Z boson) decay into dilepton

Motivation

Precise calculation of production rate of and

g(2) Z(2)

Connecting our prediction to LHC dataDiscrimination between models and confirmation UED

and production KK number violating operator

Production process

g(2) Z(2)

(2)(0)

(0)

f

f

V

KK number violating operator

All loop diagrams

KK number violating vertices (gauge interaction)

KK number violating vertices (Yukawa interaction)

KK number violating operator

(2)(0)

(0)

f

f

V

KK number violating operator

(2)(0)

(0)

f

f

V

Significant advantages of the operator

Production of , Z without kinematic suppression

g(2) (2)

Clean mass reconstruction of and Z

g(2) (2)

Production through the KK number conserving processes Advantage ・No loop

suppression

Disadvantage ・Kinematic

suppression due to pair production of second KK particles

Production through the KK number violating processes

Advantage ・Evading the phase space suppression

Disadvantage ・Loop factor

suppression

Numerical result

Total production rate

For integrated luminosity 100 fb

1

production g(2) 10 106 2 ( For 400 GeV – 2000 GeV )

Discussion : significance of each process

(1) Without kinematic suppression(2) and are directly produced

g(2) Z(2)

Large contribution to the total cross section, particularly for large 1/R

Dilepton signal

For integrated luminosity 100 fb1

Summary

and are the key ingredients for the discrimination

g(2) Z(2)(2)

(0)

(0)

f

f

V

It can be difficult to discriminate MUED model from other models

We calculated the KK number violating operator

We calculated the production rate of andg(2) Z(2)

Our prediction make it possible to the model discrimination and confirmation of the MUED model

Appendix

Universal Extra Dimension (UED) model

3 families from anomaly cancellation[ Dobrescu, Poppitz PRL 68 (2001) ]

Preventing rapid proton decay from non-renormalizable operators

[ Appelquist, Dobrescu, Ponton, Yee PRL 87 (2001) ]

[ Servant, Tait NPB 650 (2003) ]Existence of dark matter

Explaining cosmic ray excess anomaly

[ Appelquist, Cheng, Dobrescu PRD67 (2000) ]

[ J. Chang et al. Nature 456 (2008) ]

[ Datta, Kong, Matchev PRD72 (2005) ]

Example of mass spectrum

Discussion : significance of each process

(1) Dominant component of Parton distribution function of proton u-quark, d-quark, gluon

Reason why these processes have large cross section

(2) Logarithm factor prevents the drastic decreasing of cross section

Summary

Observation of first KK particles

Speculation of the value of 1/R

Observation of second KK particles through

di-lepton

Determination of the mass of g(2) (2) ( Z

)

Mass of ( ) = Calculated mass from speculated 1/R

g(2) Z(2)

Confirmation of the second KK particles !Confirmation of the MUED model !!

g(2) (2) ( Z )