Mixed modulus and anomaly mediation in light of the muon $g-2$ anomaly

Abstract

The new measurement of the anomalous magnetic momentum of muon at the Fermilab Muon g − 2 experiment has strengthened the significance of the discrepancy between the standard model prediction and the experimental observation from the BNL measurement. If new physics responsible for the muon g − 2 anomaly is supersymmetric, one should consider how to obtain light electroweakinos and sleptons in a systematic way. The gauge coupling unification allows a robust prediction of the gaugino masses, indicating that the electroweakinos can be much lighter than the gluino if anomaly-mediated supersymmetry breaking is sizable. As naturally leading to mixed modulus-anomaly mediation, the KKLT scenario is of particular interest and is found capable of explaining the muon g − 2 anomaly in the parameter region where the lightest ordinary supersymmetric particle is a bino-like neutralino or slepton.

Muon g-2, Dark Matter and the Higgs mass in No-Scale Supergravity

“…Having said this, some parameter points perfectly attain the higgs mass and a µ . For a discussion of the phenomenology of such points see [60]. and tan(β) are also approximately similar.…”

“…Interestingly, we find that, in both cases, a large part of parameter space is dominated by RPV-style points, where the LSP becomes the lightest τ state. Although such states are beyond the scope of this paper, a detailed discussion of these kind of points can be found [60].…”

“…We therefore examine a general breaking scenario where the gaugino mass parameters are partly derived from "anomaly mediated" susy breaking giving three mass parameters. Each one is determined partly by loop corrections given below [71] and partly by a universal term parameterised below by the dimensionless coefficient k [72],…”

“…Here we shall perform a phenomenological study of two of the simplest cases suggested in [59]: the first case consisting of no-scale SUGRA with zero soft scalar masses m 0 = 0 and zero trilinear soft parameter A 0 = 0, where the only source of SUSY breaking in the visible sector is via the gaugino masses M i ; the second case switches on a small soft trilinear mass A 0 = 0, while maintaining zero soft scalar masses m 0 = 0. In both cases we assume that the gaugino masses M i (which are not fixed by the Kahler potential and are therefore independent of the details of inflation) to arise from a hybrid of anomaly mediated and universal sources [60]. Such gaugino masses M i at the high scale will act as the seed of all soft squark and slepton masses at low energy via renormalisation group (RG) running effects.…”