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

Boyle, Peter A.; Garron, Nicolas; Hudspith, Renwick J.; Lehner, Christoph; Lytle, Andrew T.

doi:10.1007/JHEP10(2017)054

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

Journal Article · Tue Oct 10 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP10(2017)054· OSTI ID:1414829

Boyle, Peter A. ^[1]; Garron, Nicolas ^[2]; Hudspith, Renwick J. ^[3]; Lehner, Christoph ^[4]; Lytle, Andrew T. ^[5]

Univ. of Edinburgh, Edinburgh (United Kingdom)
Univ. of Liverpool, Liverpool (United Kingdom)
York Univ., Toronto (Canada)
Brookhaven National Lab. (BNL), Upton, NY (United States)
Univ. of Glasgow, Glasgow (United Kingdom)

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 MS¯, 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. In conclusion, 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.

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Research Organization:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Contributing Organization:: The RBC/UKQCD collaboration

Grant/Contract Number:: SC0012704

OSTI ID:: 1414829

Report Number(s):: BNL-114874-2017-JA; KA2401012; TRN: US1800726

Journal Information:: Journal of High Energy Physics (Online), Vol. 2017, Issue 10; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 12 works

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

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