Neutral kaon mixing beyond the Standard Model with nf=2+1 chiral fermions. Part 2: non perturbative renormalisation of the △F=2 four-quark operators

Boyle, Peter A, Garron, Nicolas ORCID: 0000-0002-4428-3984, Hudspith, Renwick J, Lehner, Christoph and Lytle, Andrew T (2017) Neutral kaon mixing beyond the Standard Model with nf=2+1 chiral fermions. Part 2: non perturbative renormalisation of the △F=2 four-quark operators. JOURNAL OF HIGH ENERGY PHYSICS, 2017 (10). 54-.

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Official URL: http://dx.doi.org/10.1007/jhep10(2017)054

Abstract

We compute the renormalisation factors (Z-matrices) of the ΔF = 2 four-quark operators needed for Beyond the Standard Model (BSM) kaon mixing. We work with nf = 2+1 flavours of Domain-Wall fermions whose chiral-flavour properties are essential to maintain a continuum-like mixing pattern. We introduce new RI-SMOM renormalisation schemes, which we argue are better behaved compared to the commonly-used corresponding RI-MOM one. We find that, once converted to M S ¯ , the Z-factors computed through these RI-SMOM schemes are in good agreement but differ significantly from the ones computed through the RI-MOM scheme. The RI-SMOM Z-factors presented here have been used to compute the BSM neutral kaon mixing matrix elements in the companion paper [1]. We argue that the renormalisation procedure is responsible for the discrepancies observed by different collaborations, we will investigate and elucidate the origin of these differences throughout this work.

Item Type:	Article
Uncontrolled Keywords:	Lattice field theory simulation, Non-perturbative renormalization
Depositing User:	Symplectic Admin
Date Deposited:	21 Aug 2017 06:43
Last Modified:	15 Mar 2024 12:57
DOI:	10.1007/JHEP10(2017)054
Open Access URL:	https://arxiv.org/pdf/1704.01114.pdf
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3009063