CERN LHC signatures of resonantCPviolation in a minimal supersymmetric Higgs sector

Abstract

We present the general formalism for studying CP-violating phenomena in the production, mixing and decay of a coupled system of CP-violating neutral Higgs bosons at high-energy colliders. Considering the Minimal Supersymmetric Standard Model (MSSM) Higgs sector in which CP violation is radiatively induced by phases in the soft supersymmetry-breaking third-generation trilinear squark couplings and gaugino masses, we apply our formalism to neutral Higgs production viabb, gg and W + W − collisions at the LHC. We discuss CP asymmetries in the longitudinal and transverse polarizations of τ + τ − pairs.

CP violation in correlated production and decay of unstable particles

“…Our analysis also led us to the development a novel spinorial trace formalism, which helped us to efficiently evaluate lengthy expressions of squared amplitudes describing resonant scalar transitions. The formalism presented here could be extended to other unstable-particle systems, predicted in minimal extensions of the Standard Model that include mixing of Higgs-boson states [19,20] or the mixing of heavy unstable neutrinos [21]. It is interesting to study systematically possible phenomena of resonant CP-violating EPR correlations in these systems both for the LHC and future high-energy colliders.…”

ResonantCPviolation in Higgs radiation at ane+e−linear collider

“…As was emphasized in [13], the resonance lineshape of a coupled system of neutral Higgs bosons is not a process-independent quantity, but crucially depends on its production and decay channels. A combined analysis of the different production and decay channels at the LHC, ILC and PLC can shed light on whether one is dealing with a single, two-or multi-component system of Higgs bosons.…”

“…Alternatively, if tan β > ∼ 40, all three neutral Higgs states H 1,2,3 may have similar masses and strongly mix with each other dynamically, through CP-violating off-diagonal absorptive self-energy effects [12,13]. Such a scenario was studied in [13][14][15] and termed the CP-violating tri-mixing scenario of the MSSM.…”

“…In this CPviolating MSSM, one interesting possibility is that the lightest neutral Higgs boson could be considerably lighter than 114 GeV [10,11], at moderate values of tan β < ∼ 10, for relatively light charged Higgs-boson masses, M H ± ∼ 130-170 GeV. Alternatively, if tan β > ∼ 40, all three neutral Higgs states H 1,2,3 may have similar masses and strongly mix with each other dynamically, through CP-violating off-diagonal absorptive self-energy effects [12,13]. Such a scenario was studied in [13][14][15] and termed the CP-violating tri-mixing scenario of the MSSM.…”

CPviolation in supersymmetric theories:t˜2→t˜1HH<

“…Thus, the strong phase arises only due to the widths of the intermediate particles H 2 and H 3 . For a given set of SUSY parameters, the widths Γ 2 and Γ 3 are calculable (as are the 'off-diagonal widths' associated with transitions H i ↔ H j [7]). Thus, the measurement of CP violation in these decays (due to direct CP asymmetries) will allow us to extract and/or constrain the SUSY parameters, including the CP-violating SUSY phases.…”