The $W\ell \nu$-vertex corrections to W-boson mass in the R-parity violating MSSM

Abstract

Inspired by the astonishing $7\sigma$ discrepancy between the recent CDF-II measurement and the standard model prediction on the mass of $W$-boson, we investigate the ${\lambda }^{\prime }$-corrections to the vertex of $\mu \to {\nu }_{\mu }e\overline{{\nu }_e}$ decay in the context of the $R$-parity violating minimal supersymmetric standard model. These corrections can raise the $W$-boson mass independently. Combined with recent $Z$-pole and kaon decay measurements, $m_W\lesssim 80.37$ GeV can be reached. We find that these vertex corrections cannot explain the CDF result entirely at the $2\sigma$ and even $3\sigma$ levels. However, these corrections together with the oblique contributions can be accordant with the CDF-II result and relevant bounds at the $3\sigma$ level.

Comments: 20 pages, 3 figures; More references added, and more constraints considered, final version published in AAPPS Bulletin