Leptonic $g-2$ moments, CP phases and the Higgs boson mass constraint

Abstract

Higgs boson mass measurement at $\sim 125$ GeV points to a high scale for SUSY specifically the scalar masses. If all the scalars are heavy, supersymmetric contribution to the leptonic $g-2$ moments will be significantly reduced. On the other hand the Brookhaven experiment indicates a 3sigma deviation from the standard model prediction. Here we analyze the leptonic $g-2$ moments in an extended MSSM model with inclusion of a vector like leptonic generation which brings in new sources of CP violation. In this work we consider the contributions to the leptonic $g-2$ moments arising from the exchange of charginos and neutralinos, sleptons and mirror sleptons, and from the exchange of $W$ and $Z$ bosons and of leptons and mirror leptons. We focus specifically on the $g-2$ moments for the muon and the electron where sensitive measurements exist. Here it is shown that one can get consistency with the current data on $g-2$ under the Higgs boson mass constraint. Dependence of the moments on CP phases from the extended sector are analyzed and it is shown that they are sensitively dependent on the phases from the new sector. It is shown that the corrections to the leptonic moments arising from the extended MSSM sector will be non-vanishing even if the SUSY scale extends into the PeV region.

19 pages, 7 figures

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• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
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• What Fermilab $(g-2{)}_{\mu }$ experiment tells us about discovering SUSY at HL-LHC and HE-LHC
• Global Fit of Modified Quark Couplings to EW Gauge Bosons and Vector-Like Quarks in Light of the Cabibbo Angle Anomaly
• Electron and muon $g-2$, radiative neutrino mass, and ${\ell }^{\prime }\to \ell \gamma$ in a $U(1{)}_{e-\mu }$ model
• Impact of LHC data on muon $g-2$ solutions in vector-like extension of the Constrained MSSM
• Confronting spin-3/2 and other new fermions with the muon g-2 measurement
• Flavor violating leptonic decays of the Higgs boson
• Tests of gluino-driven radiative breaking of the electroweak symmetry at the LHC
• Vector-like Leptons in Light of the Cabibbo-Angle Anomaly