Naturally Small Dirac Neutrino Mass with Intermediate $SU(2)_{L}$ Multiplet Fields

TL;DR

This paper explores models that naturally generate tiny Dirac neutrino masses using intermediate $SU(2)_L$ multiplet fields, focusing on tree and one-loop mechanisms with potential dark matter candidates.

Contribution

It systematically classifies viable models with $SU(2)_L$ multiplet scalars up to quintuplets that produce small Dirac neutrino masses without fine-tuning.

Findings

Complete sets of models with $SU(2)_L$ multiplets up to quintuplets identified.

Natural models with small scalar VEVs without fine-tuning constructed.

Phenomenological implications like lepton flavor violation and LHC signatures discussed.

Abstract

If neutrinos are Dirac fermions, certain new physics beyond the standard model should exist to account for the smallness of neutrino mass. With two additional scalars and a heavy intermediate fermion, in this paper, we systematically study the general mechanism that can natrally generate the tiny Dirac neutrino mass at tree and in one-loop level. For tree level models, we focus on natural ones, in which the additional scalars develop small vacuum expectation values without fine-tuning. For one-loop level models, we explore those having dark matter candidates under $Z_2^D$ symmetry. In both cases, we concentrate on $SU(2)_L$ multiplet scalars no larger than quintuplet, and derive the complete sets of viable models. Phenomenologies, such as lepton flavor violation, leptogenesis, and LHC signatures are briefly discussed.