Type III seesaw with R-parity violation in light of $m_W$ (CDF)

Abstract

Motivated by the recently reported measurement of the $W$ boson mass $M_W=80.4335\pm 0.0094$ GeV by the CDF collaboration, we propose a type III seesaw extension of the minimal supersymmetric standard model (MSSM) which also includes an R-parity violating term. Without taking potential SUSY radiative corrections into account, we show that the CDF measurement of $M_W$ and the LEP measurement of the $\ddot{I}$ parameter can be simultaneously accommodated at the $2\ddot{I}ƒ$ level. A long-lived gravitino in a few GeV mass range is a unique viable dark matter candidate in this framework.

3 pages, typos corrected, references added, matches with published version