2020/03/31 by Valerio Gherardi, David Marzocca, Elena Venturini · 2 citations
Physics and Astronomy · #Algorithm #Artificial intelligence #Black Holes and Theoretical Physics #Computer science #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep07(2020)225
published as JHEP \textbf{07} (2020), 225 · 21 pages plus appendices. v:5 other corrections have been implemented
openalex publication_date 2020/07/01 · arxiv created 2021/11/16 · arxiv updated 2021/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract In this paper we present the complete one-loop matching conditions, up to dimension-six operators of the Standard Model effective field theory, resulting by integrating out the two scalar leptoquarks S1∼ (3,1)(1)/(3) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>S</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mo>∼</mml:mo> <mml:msub> <mml:mfenced> <mml:mn>3</mml:mn> <mml:mn>1</mml:mn> </mml:mfenced> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>3</mml:mn> </mml:mfrac> </mml:msub> </mml:math> and S3∼ (3,3)(1)/(3) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>S</mml:mi> <mml:mn>3</mml:mn> </mml:msub> <mml:mo>∼</mml:mo> <mml:msub> <mml:mfenced> <mml:mn>3</mml:mn> <mml:mn>3</mml:mn> </mml:mfenced> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>3</mml:mn> </mml:mfrac> </mml:msub> </mml:math> . This allows a phenomenological study of low-energy constraints on this model at one-loop accuracy, which will be the focus of a subsequent work. Furthermore, it provides a rich comparison for functional and computational methods for one-loop matching, that are being developed. As a corollary result, we derive a complete set of dimension-six operators independent under integration by parts, but not under equations of motions, called Green’s basis , as well as the complete reduction formulae from this set to the Warsaw basis.