Charged Current Universality and the MSSM

Abstract

We analyze the prospective impact of supersymmetric radiative corrections on tests of charged current universality involving light quarks and leptons. Working within the R-parity conserving Minimal Supersymmetric Standard Model, we compute the corresponding one-loop corrections that enter the extraction of the Cabibbo-Kobayashi-Maskawa matrix element $V_{ud}$ from a comparison of the muon-decay Fermi constant with the vector coupling constant determined from nuclear and neutron $\beta$-decay. We also revisit earlier studies of the corrections to the ratio $R_{e/\mu }$ of pion leptonic decay rates $\Gamma [{\pi }^{+}\to e^{+}\nu (\gamma )]$ and $\Gamma [{\pi }^{+}\to {\mu }^{+}\nu (\gamma )]$. In both cases, we observe that the magnitude of the corrections can be on the order of $10^{-3}$. We show that a comparison of the first row CKM unitarity tests with measurements of $R_{e/\mu }$ can provide unique probes of the spectrum of first generation squarks and first and second generation sleptons.

38 pages, 17 figures

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Cited by in corpus (11)

• Flavor Physics in the Quark Sector
• New physics searches in nuclear and neutron $\beta$ decay
• Beta Decays and Non-Standard Interactions in the LHC Era
• The Weak Neutral Current
• Global Effective-Field-Theory analysis of New-Physics effects in (semi)leptonic kaon decays
• Supersymmetric Contributions to Weak Decay Correlation Coefficients
• Testing Lepton Flavor Universality with Pion, Kaon, Tau, and Beta Decays
• Measurement of the neutron decay electron-antineutrino angular correlation by the aCORN experiment
• 125 GeV Higgs boson mass and muon g-2 in 5D MSSM
• A New Theory Framework for the Electroweak Radiative Corrections in $K_{l3}$ Decays
• Discovering the New Standard Model: Fundamental Symmetries and Neutrinos