CDF-II W boson mass in the Dirac Scotogenic model

TL;DR

This paper investigates the Dirac scotogenic model's ability to explain the CDF-II W boson mass measurement, demonstrating that a singlet scalar dark matter candidate can satisfy all relevant neutrino, dark matter, and electroweak constraints.

Contribution

It shows that the Dirac scotogenic model with a singlet scalar dark matter candidate can simultaneously explain the W mass anomaly and satisfy neutrino and dark matter constraints.

Findings

Singlet scalar dark matter can reconcile W mass measurement with other constraints.

Doublet scalar dark matter cannot satisfy all constraints simultaneously.

The model remains consistent with oblique parameter measurements.

Abstract

The Dirac scotogenic model provides an elegant mechanism which explains small Dirac neutrino masses and neutrino mixing, with a single symmetry simultaneously protecting the ``Diracness'' of the neutrinos and the stability of the dark matter candidate. Here we explore the phenomenological implications of the recent CDF-II measurement of the $W$ boson mass in the Dirac scotogenic framework. We show that, in the scenario where the dark matter is mainly a $SU(2)_L$ scalar doublet, it cannot concurrently satisfy: (a) the dark matter relic density (b) the $m_W$ anomaly and (c) the direct detection constraints. However, unlike the Majorana scotogenic model, the Dirac version also has a ``dark sector'' $SU(2)_L$ singlet scalar. We show that if the singlet scalar is the lightest dark sector particle i.e. the dark matter, then all neutrino physics and dark matter constraints along with the constraints from oblique $S$, $T$ and $U$ parameters can be concurrently satisfied for $W$ boson mass in CDF-II mass range.