The link between the electroweak gauge boson masses and the Fermi constant via the muon lifetime measurement is instrumental for constraining and eventually pinning down new physics. We consider the simplest extension of the standard model with an additional real scalar $SU(2{)}_L\otimes U(1{)}_Y$ singlet and compute the electroweak precision parameter $\mathrm{\Delta }r$, along with the corresponding theoretical prediction for the W-boson mass. When confronted with the experimental W-boson mass measurement, our predictions impose limits on the singlet model parameter space. We identify regions, especially in the mass range which is accessible by the LHC, where these correspond to the most stringent experimental constraints that are currently available.

• Received 18 June 2014

DOI:https://doi.org/10.1103/PhysRevD.90.114018