Muon and Electron $(g-2)$ Anomalies with Non-Holomorphic Interactions in MSSM

Abstract

The recent Fermilab muon g − 2 result and the same for electron due to fine-structure constant measurement through 133 Cs matter-wave interferometry are probed in relation to MSSM with non-holomorphic (NH) trilinear soft SUSY breaking terms, referred as NHSSM. Supersymmetric contributions to charged lepton (g − 2) l can be enhanced via the new trilinear terms involving a wrong Higgs coupling with left and right-handed scalars. Bino-slepton loop is used to enhance the SUSY contribution to g − 2 where wino mass stays at 1.5 TeV and the left and right slepton mass parameters for the first two generations are considered to be the same. Unlike many MSSM based analyses, the model does not require a light electroweakino, or light sleptons, or unequal left and right slepton masses, or a very large higgsino mass parameter. First part of the analysis involves (g − 2) µ constraint along with limits from Higgs mass, B-physics, collider data, direct detection of dark matter (DM) while focusing on a higgsino DM which is underabundant in nature. We then impose the constraint from electron g − 2 where a large Yukawa threshold corrections (an outcome of NHSSM) and opposite signs of trilinear NH coefficients associated with µ and e fields are used to satisfy the dual limits of ∆a µ and ∆a e (where the latter comes with negative sign).Varying Yukawa threshold corrections further provide the necessary flavor-dependent enhancement of ∆a e /m 2 e compared to that of ∆a µ /m 2 µ . A larger Yukawa threshold correction through A e for y e also takes away the direct proportionality of a e with respect to tan β. With a finite intercept, a e becomes only an increasing function of tan β. We identified the available parameter space in the two cases while also applying the ATLAS data on slepton pair production in the plane of slepton mass parameter and the mass of the lightest neutralino.

Low Energy Supersymmetry Confronted with Current Experiments: An Overview

“…We should also note the electron g − 2 which shows a slight deviation according to the Berkeley measurement [103]. A joint explanation of such an electron g − 2 and the muon g − 2 is feasible in the MSSM [104][105][106][107][108][109]. If we further consider the measurement of electron EDM, its correlation with the muon g − 2 in the MSSM can set stringent constraints on the CP-phases of the soft parameters [110,111].…”

Low energy supersymmetry confronted with current experiments: an overview

“…We should also note the electron g − 2 which shows a slight deviation according to the Berkeley measurement [109]. A joint explanation of such an electron g − 2 and the muon g − 2 is feasible in the MSSM [110,111,112,113,114,115]. If we further consider the measurement of electron EDM, its correlation with the muon g − 2 in the MSSM can set stringent constraints on the CP-phases of the soft parameters [116,117].…”

Supersymmetric explanation of the muon g-2 anomaly with and without stable neutralino

“…which is consistent with the white paper value. On the other hand, a new lattice-based result of the hadronic vacuum-polarization contribution[7] disagrees with the white paper value, which are derived by the data-driven approach.2 For simultaneous SUSY explanations for the electron and muon g − 2, see e.g [27][28][29][30].…”