Matching the Standard Model to Heavy-Quark Effective Theory and Nonrelativistic QCD

TL;DR

This paper calculates the leading electroweak corrections to the effective theories for heavy quarks, providing detailed one-loop order results for Wilson coefficients up to specific orders, including new parity-violating terms.

Contribution

It derives the one-loop electroweak corrections to the Wilson coefficients in heavy-quark effective theory and nonrelativistic QCD, including novel parity-violating terms.

Findings

Electroweak corrections to Wilson coefficients are computed at one-loop order.

New parity-violating terms are identified in the two-quark operators.

Results extend the understanding of effective theories for heavy quarks.

Abstract

We find the leading electroweak corrections to the Lagrangians of heavy-quark effective theory and nonrelativistic QCD. These corrections appear in the Wilson coefficients of the two- and four-quark operators and are considered here at one-loop order through $\mathcal{O}(1/m^3)$ and $\mathcal{O}(1/m^2)$, respectively. The two-quark operators through this order include new parity violating terms, which we derive analogously to the parity preserving QCD result at one-loop order.