Higgs bosons in the minimal supersymmetric standard model with explicit CP violation

Abstract

We study the Higgs-boson mass spectrum of the minimal supersymmetric standard model, in which the tree-level CP invariance of the Higgs potential is broken explicitly by loop effects of soft-CP-violating Yukawa interactions related to scalar quarks of the third generation. The analysis is performed by considering the CP-non-invariant renormalization-group improved effective potential through next-to-leading order that includes leading logarithms due to two-loop Yukawa and QCD corrections. We find that the three neutral Higgs particles predicted by the theory may strongly mix with one another, thereby significantly modifying their tree-level couplings to fermions and to the W ± and Z bosons. We analyze the phenomenological consequences of such a minimal supersymmetric scenario of explicit CP violation on the production rates of the lightest Higgs particle, and discuss strategies for its potential discovery at high-energy colliders.

Electroweak baryogenesis in supersymmetric variants

“…In the SM we have CP-violation in the KM-matrix, but this is a very small effect. In "Beyond" models like the MSSM there are more possiblities, but the size of such effects is still under discussion [5,14]. (iii) One needs nonequilibrium.…”

Radiative Higgs-Sector Cp Violation in the MSSM

“…[5] are in good qualitative agreement with earlier studies. 2,4 In conclusion, the MSSM with explicit radiative breaking of CP invariance in the Higgs sector 1 constitutes a very rich and predictive theoretical framework, with interesting consequences on collider experiments, 1,3,2,4,5,6,16 CP asymmetries in B-meson decays, 17 and electroweak baryogenesis. 18 I wish to thank Marcela Carena, Darwin Chang, John Ellis, Wai-Yee Keung and Carlos Wagner for collaboration.…”

“…Several recent studies 2,3,4,5,6 have been devoted to analyze in more detail the effective Higgs potential of the MSSM with explicit radiative breaking of CP invariance. We shall briefly review the main phenomenological implications of this rather rich and very predictive theoretical framework of the MSSM for the LEP2 and Tevatron colliders.…”

“…Here, we adopt the notation of Refs. [1,2,5]. The minimization of the CP-violating effective potential differs from that in the CP-conserving case by the presence of a non-trivial CP-odd tadpole condition 1 of the would-be CP-odd scalar a.…”

“…2,5 Let us now discuss a representative example demonstrating the phenomenological consequences of Higgs-sector CP violation on the LEP2 and Tevatron colliders. We consider an intermediate value for tan β = 4, and a relatively light charged Higgs boson M H + = 150 GeV, with M SUSY = 0.5 TeV, A t = A b = 1 TeV and µ = 2 TeV.…”