Neutral kaon mixing beyond the Standard Model with n _{f} = 2 + 1 chiral fermions. Part 2: non perturbative renormalisation of the ΔF = 2 fourquark operators
Abstract
We compute the renormalisation factors (Zmatrices) of the ΔF = 2 fourquark operators needed for Beyond the Standard Model (BSM) kaon mixing. We work with nf = 2+1 flavours of DomainWall fermions whose chiralflavour properties are essential to maintain a continuumlike mixing pattern. We introduce new RISMOM renormalisation schemes, which we argue are better behaved compared to the commonlyused corresponding RIMOM one. We find that, once converted to MS¯, the Zfactors computed through these RISMOM schemes are in good agreement but differ significantly from the ones computed through the RIMOM scheme. The RISMOM Zfactors 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.
 Authors:

 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)
 Publication Date:
 Research Org.:
 Brookhaven National Lab. (BNL), Upton, NY (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 Contributing Org.:
 The RBC/UKQCD collaboration
 OSTI Identifier:
 1414829
 Report Number(s):
 BNL1148742017JA
Journal ID: ISSN 10298479; KA2401012; TRN: US1800726
 Grant/Contract Number:
 SC0012704
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 10; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; zmatrice; quark; DM; particles; fermions; kaon; BSM; chiral; flavour; RISMOM; Lattice field theory simulation; Nonperturbative renormalization
Citation Formats
Boyle, Peter A., Garron, Nicolas, Hudspith, Renwick J., Lehner, Christoph, and Lytle, Andrew T. Neutral kaon mixing beyond the Standard Model with nf = 2 + 1 chiral fermions. Part 2: non perturbative renormalisation of the ΔF = 2 fourquark operators. United States: N. p., 2017.
Web. doi:10.1007/JHEP10(2017)054.
Boyle, Peter A., Garron, Nicolas, Hudspith, Renwick J., Lehner, Christoph, & Lytle, Andrew T. Neutral kaon mixing beyond the Standard Model with nf = 2 + 1 chiral fermions. Part 2: non perturbative renormalisation of the ΔF = 2 fourquark operators. United States. doi:10.1007/JHEP10(2017)054.
Boyle, Peter A., Garron, Nicolas, Hudspith, Renwick J., Lehner, Christoph, and Lytle, Andrew T. Tue .
"Neutral kaon mixing beyond the Standard Model with nf = 2 + 1 chiral fermions. Part 2: non perturbative renormalisation of the ΔF = 2 fourquark operators". United States. doi:10.1007/JHEP10(2017)054. https://www.osti.gov/servlets/purl/1414829.
@article{osti_1414829,
title = {Neutral kaon mixing beyond the Standard Model with nf = 2 + 1 chiral fermions. Part 2: non perturbative renormalisation of the ΔF = 2 fourquark operators},
author = {Boyle, Peter A. and Garron, Nicolas and Hudspith, Renwick J. and Lehner, Christoph and Lytle, Andrew T.},
abstractNote = {We compute the renormalisation factors (Zmatrices) of the ΔF = 2 fourquark operators needed for Beyond the Standard Model (BSM) kaon mixing. We work with nf = 2+1 flavours of DomainWall fermions whose chiralflavour properties are essential to maintain a continuumlike mixing pattern. We introduce new RISMOM renormalisation schemes, which we argue are better behaved compared to the commonlyused corresponding RIMOM one. We find that, once converted to MS¯, the Zfactors computed through these RISMOM schemes are in good agreement but differ significantly from the ones computed through the RIMOM scheme. The RISMOM Zfactors 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.},
doi = {10.1007/JHEP10(2017)054},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2017,
place = {United States},
year = {2017},
month = {10}
}
Web of Science
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