Leptoquark explanation of $h \to \mu\tau$ and muon $(g-2)$

TL;DR

This paper proposes a leptoquark model with two scalar particles to explain the observed Higgs lepton flavor violation and muon g-2 anomaly, demonstrating possible cancellations and consistency with experimental constraints.

Contribution

Introduction of a two-leptoquark model that simultaneously explains $h o e4$ decay and muon g-2, with mechanisms for cancellations to satisfy experimental bounds.

Findings

Can explain CMS and ATLAS $h o e4$ excesses.

Accommodates muon g-2 anomaly.

Shows cancellations between leptoquark contributions are possible.

Abstract

We consider lepton flavor violating Higgs decay, specifically $h \to \mu\tau$, in a leptoquark model. We introduce two scalar leptoquarks with the $SU(3)_c \times SU(2)_L \times U(1)_Y$ quantum numbers, $(3,2,7/6)$ and $(3,2,1/6)$, which do not generate the proton decay within renormalizable level. They can mix with each other by interactions with the standard model Higgs. The constraint from the charged lepton flavor violating process, $\tau^{-} \to \mu^{-} \gamma$, is very strong when only one leptoquark contribution is considered. However, we demonstrate that significant cancellation is possible between the two leptoquark contributions. We show that we can explain the CMS (ATLAS) excess in $h \to \mu \tau$. We also show that muon $(g-2)$ anomaly can also be accommodated.