Effective Field Theory for Leptoquarks

TL;DR

This paper uses effective field theory techniques to analyze decay rates of common leptoquarks, resumming large logarithms and deriving matching relations to improve understanding of their phenomenology.

Contribution

It provides a detailed effective field theory framework for leptoquark decay analysis, including renormalization group resummation and tree-level matching relations.

Findings

Resummed large logarithms in leptoquark decay processes.

Derived matching relations for Wilson coefficients in specific models.

Analyzed decay rates of scalar and vector leptoquarks.

Abstract

Leptoquarks enter in several extensions of the Standard Model as possible solutions to a number of observed anomalies. We work within the soft-collinear effective theory framework to present a detailed analysis of the decay rates of the three leptoquarks that appear the most in literature, the scalars $S_1$ and $S_3$ and the vector $U_1^{\mu}$. Using renormalization group methods we resum the large logarithms arising from the evolution of the Wilson coefficients between the New Physics scale and the electroweak scale. We also derive the tree-level matching relations for the Wilson coefficients in the effective theory for some specific leptoquark models.