General non-leptonic ∆F = 1 WET at the NLO in QCD
A bstract We reconsider the complete set of four-quark operators in the Weak Effective Theory (WET) for non-leptonic ∆ F = 1 decays that govern s → d and b → d, s transitions in the Standard Model (SM) and beyond, at the Next-to-Leading Order (NLO) in QCD. We discuss cases with different numbers N f...
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Veröffentlicht in: | The journal of high energy physics 2021-11, Vol.2021 (11), p.1-38, Article 227 |
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Hauptverfasser: | , , , , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | A
bstract
We reconsider the complete set of four-quark operators in the Weak Effective Theory (WET) for non-leptonic ∆
F
= 1 decays that govern
s
→
d
and
b
→
d, s
transitions in the Standard Model (SM) and beyond, at the Next-to-Leading Order (NLO) in QCD. We discuss cases with different numbers
N
f
of active flavours, intermediate threshold corrections, as well as the issue of transformations between operator bases beyond leading order to facilitate the matching to high-energy completions or the Standard Model Effective Field Theory (SMEFT) at the electroweak scale. As a first step towards a SMEFT NLO analysis of
K
→
ππ
and non-leptonic
B
-meson decays, we calculate the relevant WET Wilson coefficients including two-loop contributions to their renormalization group running, and express them in terms of the Wilson coefficients in a particular operator basis for which the one-loop matching to SMEFT is already known. |
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ISSN: | 1029-8479 1029-8479 |
DOI: | 10.1007/JHEP11(2021)227 |