MSSM: cornered and correlated

Abstract

Inspired by the latest results of ATLAS and CMS on the search for the standard model (SM) Higgs scalar, we discuss in this article the correlations between Higgs-boson properties, low-energy observables, such as B → X s γ, B s → µ + µ − , and (g − 2) µ , and the dark matter (DM) relic density. We focus on the corners of the MSSM parameter space where the pp → h → γγ signal is enhanced due to the presence of a light stau state. In this region tan β, M A , A t , and µ take large values, and we find striking correlations between many of the considered observables. In particular, the B → X s γ branching fraction is enhanced, while the B s → µ + µ − rate tends to be below the SM expectation. In contrast, the Higgs-boson couplings show good overall agreement with the preliminary experimental determinations, the DM abundance is consistent with observation, and the discrepancy in (g − 2) µ is reduced. The predicted deviations and found correlations could be tested in the near future and hence may become very valuable as guidelines and consistency checks.

Exploring MSSM for charge and color breaking and other constraints in the context of Higgs@125 GeV

“…This is consistent with the expected result of Br(B → X s γ) for µA t < 0 [98,[117][118][119][120][121][122]. Similarly a large amount of parameter zone of the same quadrant is eliminated via Br(B s → µ + µ − ) which becomes sensitive for large tan β [117][118][119], in spite of the fact that the pseudoscalar Higgs mass is quite large. We note that the above agrees with the analysis of ref.…”

“…We note that the above agrees with the analysis of ref. [117] where Br(B s → µ + µ − ) for a large tan β is seen to be enhanced for µA t < 0. Interestingly, in contrast to figure 4 here the safe vacua are almost exclusively long-lived in the large µ and large A t region.…”

Light stops, light staus and the 125 GeV Higgs

“…mass to satisfy the LHC constraints, as well as constraints from flavor physics [78,79]. This in turn implies that the Higgs couplings to the W -gauge boson and to the top quark remain close to their SM values.…”

An explicit Z ′-boson explanation of the B → K ∗ μ + μ − anomaly

“…[11]) the solution (1.1) should originate from new flavour dynamics that induces a large destructive contribution to the semileptonic vector operator, while leaving the electromagnetic dipole and the semi-leptonic axial-vector operator essentially SM-like. A glimpse at the extensive literature on quark-flavour physics readily shows that the pattern seen in (1.1) is highly non-standard, and that the usual suspects -such as the minimal supersymmetric SM [12,13], warped extra dimension scenarios [14,15] or models with partial compositeness [16,17] to just name a few -cannot accommodate the observed deviations (this point has also been stressed in [8,9]). An apparent though ad hoc way to obtain (1.1) is to postulate the existence of a Z boson with mass in the TeV range and specific couplings to fermions [7]: the new neutral gauge boson should couple only to the left-handedsb current and proportionally to the product V * ts V tb of Cabibbo-KobayashiMaskawa (CKM) matrix elements so that excessive CP-violating contributions to B s -B s mixing are avoided; the Z boson should furthermore couple to left-handed and righthanded muons with close to equal strength, since the B → K * µ + µ − data seem to prefer a vector rather than an axial-vector coupling to theμµ current.…”