Oblique corrections from leptoquarks

TL;DR

This paper derives general formulas for oblique correction parameters in models with scalar leptoquarks and additional scalars, accounting for arbitrary mixing and representations, aiding precision tests of new physics.

Contribution

It provides comprehensive formulas for oblique parameters in models with multiple scalar leptoquarks and other scalars, including mixing effects and various gauge group representations.

Findings

Formulas for $S$, $T$, $U$, $V$, $W$, and $X$ parameters derived.

Extended to models with arbitrary scalar representations and mixing.

Applicable for precision electroweak tests of new physics models.

Abstract

We present general formulas for the oblique-correction parameters $S$, $T$, $U$, $V$, $W$, and $X$ in a model of New Physics having arbitrary numbers of scalar leptoquarks of the five permissible types. We allow for a general mixing among the scalars of the various electric charges, $\textit{viz.}$ $-4/3$, $-1/3$, $2/3$, and $5/3$. We then extend the formulas to the case of a New Physics model with additional scalars in any representations of the gauge group $SU(2) \times U(1)$, mixing arbitrarily among themselves.