$W$-boson Mass Anomaly from High-Dimensional Scalar Multiplets

Abstract

In light of the recently discovered $W$-boson mass anomaly by the CDF Collaboration, we discuss two distinct mechanisms that could possibly explain this anomaly through the introduction of $SU(2)_L$ scalar multiplets. The first mechanism is by the tree-level $W$-boson mass correction, induced by the vacuum expectation values of one or more $SU(2)_L$ scalar multiplets with odd dimensions of $n\geq 3$ and zero hypercharge of $Y=0$ to avoid the strong constraint from measurements of the $Z$-boson mass. However, it remains ruled out by the electroweak precision data of the $\rho$ parameter. The second mechanism is by the one-loop level $W$-boson mass correction. In particular, we focus on the case with an additional scalar nonet with $Y=0$ or $Y=4$. As a result, we find that the model can interpret the $W$-boson mass anomaly without violating any other theoretical or experimental constraints