CP violation in supersymmetry, Higgs sector and the large hadron collider

Abstract

In this talk I discuss some aspects of CP violation (CPV) in supersymmetry (SUSY) as well as in the Higgs sector. Further, I discuss ways in which these may be probed at hadronic colliders. In particular I will point out the ways in which studies in theχ ± ,χ 0 2 sector at the Tevatron may be used to provide information on this and how the search can be extended to the LHC. I will then follow this by a discussion of the CP mixing induced in the Higgs sector due to the above-mentioned CPV in the soft SUSY breaking parameters and its effects on the Higgs phenomenology at the LHC. I would then point out some interesting aspects of the phenomenology of a moderately light charged Higgs boson, consistent with the LEP constraints, in this scenario. Decay of such a charged Higgs boson would also allow a probe of a light ( 50 GeV), CP-violating (CPV) Higgs boson. Such a light neutral Higgs boson might have escaped detection at LEP and could also be missed at the LHC in the usual search channels.

Aspects of CP violation in theHZZcoupling at the LHC

“…This is demonstrated in Fig. 3, which shows the dependence on cos θ 1 for pure CP-even, pure CP-odd and CP-violating interactions 6 . To quantify the effect we define an asymmetry by,…”

“…Figs 6. show that this asymmetry is very small, with values below about ∼ 0.011, which is principally due to the proportionality to the small quantity η 1 η 2 in Eq.…”

“…Thus it is clear that the knowledge of the properties of the Higgs sector and any possible CPV therein is of utmost importance in particle physics phenomenology at present [5,6].…”

Electroweak Symmetry Breaking at the LHC

“…39 and 40 where the behaviors for a CP-even and CP-odd states and for different spins are shown respectively. Another very useful diagnostic of the CP nature of the Higgs boson is the azimuthal distribution between the decay planes of the two lepton pairs arising from the Z, Z ( * ) bosons coming from the Higgs decay [ 26,127,128,129,130,131]. Alternatively, one can study the distribution in the azimuthal angle between the two jets produced in association with the Higgs produced in vector boson fusion [ 132,133,134] or in gluon fusion in Higgs plus jet events [ 135,136].…”