Muon and electron $$(g-2)$$ anomalies with non-holomorphic interactions in MSSM

Abstract

AbstractThe recent Fermilab muon $$g-2$$ g - 2 result and the same for electron due to fine-structure constant measurement through $${}^{133}\textrm{Cs}$$ 133 Cs matter-wave interferometry are probed in relation to MSSM with non-holomorphic (NH) trilinear soft SUSY breaking terms, referred to as NHSSM. Supersymmetric contributions to charged lepton $$(g-2)_l$$ ( 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 $$g-2$$ 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 completed before, 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. In absence of popular UV complete models, we treat the NH terms at par with MSSM soft terms, in a model independent framework of Minimal Effective Supersymmetry. The first part of the analysis involves the study of $$(g-2)_\mu $$ ( g - 2 ) μ constraint along with the 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 $$g-2$$ g - 2 where a large Yukawa threshold correction (an outcome of NHSSM) and opposite signs of trilinear NH coefficients associated with $$\mu $$ μ and e fields are used to satisfy the dual limits of $$\Delta {a_\mu }$$ Δ a μ and $$\Delta {a_e}$$ Δ a e (where the latter comes with negative sign). Varying Yukawa threshold corrections further provide the necessary flavor-dependent enhancement of $$\Delta {a_e}/m_e^2$$ Δ a e / m e 2 compared to that of $$\Delta {a_\mu }/m_\mu ^2$$ Δ a μ / m μ 2 . A larger Yukawa threshold correction through $$A^\prime _e$$ A e ′ for $$y_e$$ y e also takes away the direct proportionality of $$a_e$$ a e with respect to $$\tan \beta $$ tan β . With a finite intercept, $$a_e$$ a e becomes only an increasing function of $$\tan \beta $$ tan β . We identified the available parameter space in the two cases while also satisfying the ATLAS data from slepton pair production searches in the plane of slepton mass parameter and the mass of the lightest neutralino.