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Forward-Backward Asymmetry of Top quark In Unparticle Physics. Choong Sun Kim (C.S. Kim). Department of Physics, Yonsei University, Korea. ICPP-Istanbul II. 2 nd International Conference on Particle Physics. Outline. Motivation  Observation at Tevatron

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Choong sun kim c s kim

Forward-Backward Asymmetry of Top quark

In Unparticle Physics

Choong Sun Kim (C.S. Kim)

Department of Physics, YonseiUniversity, Korea

ICPP-Istanbul II

2nd International Conference on Particle Physics


  • Motivation  Observation at Tevatron

  • Phenomenon & History over Q-FBA

  • Possible Models & Mechanisms

  • Our results in Unparticle Physics

  • Summary

1 observations at tevatron d prl100 142002 2008
1. Observations at TevatronD PRL100, 142002 (2008)

  • Process: p pbar→ t tbar + X;

    the first measurement of the

    integrated forward-backward (FB) charge asymmetry

  • D Observable:

  • Nf(b): number of events with a positive (negative) Δy

    y = yt– ytbar, y: rapidity

Observations at tevatron cdf prl101 202001 2008
Observations at TevatronCDF: PRL101, 202001 (2008)

  • CDF observable:

  • With 1.9 fb−1

  • With 3.2 fb-1

2 phenomenon
2. Phenomenon

  • If CP is invariant,


  • Integral charge asymmetry

    Ni (j): # of particle i observed in

    the direction of particle j

  • Forward-backward asymmetry

History over heavy quark fba
History over Heavy Quark FBA

Brown et al, PRL43(1979)1069; FBA of c-quak production in analogy to QED.

[1] F. Halzen, P. Hoyer, C.S. Kim, PLB195(1987)74;

FBA of b,t-quark in QCD from (i) radiative corrections to q-qbar annihilation,

(ii) interference between different contributions to qg t+tbar+q, (and its CP conj.)

~~~ no more progress about 10 years

[2] J.H. Kuhn, G. Rodrigo, PRL81(1998)49; detailed

QCD calculation

[3] O. Antunano, J.H. Kuhn, G. Rodrigo, PRD77(2008)014003;

 FBA of t-quak within the SM = 0.050 +- 0.015

D0 and CDF measured FBA ~ 20%

 Now so many works beyond the SM

Sm prediction kuhn rodrigo prd59 99 antunano etal prd77 08
SM prediction Kuhn& Rodrigo PRD59(99); Antunanoetal PRD77(08);

  • Leading order (d): charge

    asymmetry vanishes

  • Next-to-leading order: nonzero AC will be induced by the interference between (a) and (b) and the

    interference between (c) and (d)

  • Since the measurements of D and CDF have 2 deviation from the SM, the observed large FBA strongly

    indicate the new Physics

3 models by s channel ferrario rodrigo prd80 09 frampton etal arxiv 0911 2955
3. Models by s-channelFerrario & Rodrigo PRD80(09); Frampton etal, arXiv:0911.2955

  • Axigluon: Color-octet gauge bosons (AGs) that couple to quarks with a

    nonvanishing axial-vector couplings

  • It could be generated by symmetry breaking from SU(3)RSU(3)L to


  • AG could be as heavy as TeV

Models by s channel djouadi moreau richard singh arxiv 0906 0604
Models by s-channelDjouadiMoreau, Richard,Singh, arXiv:0906.0604

  • KK excitations of gluons in

    warped extra dimensional


  • The couplings of KK to quarks

    have the axial-vector component

  • AtFB|RS~ few %

Models by t channel jung murayama pierce wells arxiv 0907 4112
Models by t-channelJung, Murayama, Pierce, Wells, arXiv:0907.4112

  • New Z’ gauge boson

  • Nonuniversal Z’ model

Models by t channel cheung keung yuan plb682 09 barger keung yu arxiv 1002 1048
Models by t-channelCheung,Keung, Yuan PLB682(09); Barger, Keung, Yu: arXiv:1002.1048

Model independent approach d w jung p ko j s lee s h nam arxiv 0912 1105
Model-independent approachD.W. Jung, P. Ko, J.S. Lee, S.H. Nam, arXiv:0912.1105

  • Effective interactions

Susy r parity violation by j chao z heng l wu and j m yang arxiv 0912 1447
SUSY R-parity violationby J. Chao, Z. Heng, L. Wu and J.M. Yang, arXiv:0912.1447

Diquark models shu tait wang 0911 3237 arhrib benbrik chen 0911 4875 dorsner etal 0912 0972
Diquark modelsShu,Tait, Wang :0911.3237, Arhrib, Benbrik,Chen:0911.4875, Dorsneretal :0912.0972

  • Diquark is the particle that

    couples to quarks by qaT C qbHab , where a, b are the color indices

  • The possible representations

    under SU(3)CSU(2)LU(1)Y :

    (6, 3)1/3 , (6,1) 4/3,1/3,-2/3 ,

    (3, 3)-1/3 ,, (3,1)2/3,-1/3,-4/3

  • We would like to pay attention to (3,1,-4/3) and (6,1,4/3)

  • The relevant interactions

  • The corresponding

    Feynman diagram

4 unparticle physics s channel c h chen gorazd cvetic c s kim plb694 2011 393
4. Unparticle Physics, s-channelC.H. Chen, Gorazd Cvetic, C.S Kim, PLB694(2011)393



Cacciapaglia, Marandella, Terning,


A stuff dictated by scale invariance, proposed by Georgi

Here, we considered colored unparticle, in which the effective interactions to quarks are proposed to be

Due to nonintegral scale dimension and no mass scale in the

propagator, it will be interesting to see the unparticle effects on the top-quark FBA

Choong sun kim c s kim



Scattering amplitude combined with the SM becomes

Choong sun kim c s kim

Spinand color averaged amplitude-square is

Choong sun kim c s kim

3 physical observables are:

3 independent parameters: ( , )

first we set

2 remaining dimensionless parameters are

from assuming flavor blind (colored) unparticle

and finally the scale dimension

 i.e. the flavor-blind and chirality-independent couplings

Experimental numerical constraints:

M. Cacciari et al., JHEP 0809, 127 (2008); N. Kidonakis and R. Vogt, Phys. Rev. D 78, 074005 (2008); S. Moch and P. Uwer, Phys. Rev. D 78, 034003 (2008)

Choong sun kim c s kim

d_U=1.28+-0.22, lambda=2.05+-0.45

Choong sun kim c s kim

For detailed analysis, cosiderMtt-restricted FBA,

5 summary
5. Summary

  • An unexpected large FBA of top-quark is observed by D and CDF: strongly indicate the new physics effects (NLO effects).

  • Various possible solutions to the “anomaly” are proposed, like axigluon, KK excitations of gluon, Z’, W’, colored scalars, etc

  • We investigated whether colored flavor-conserving unparticle

  • can explain the measured FBA of ttbar production at Tevatron.

  • With a natural assumption of quark flavor-blind and chirality-

  • independent unparticle, UP contribution can explain the

  • deviation.