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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

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 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.

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. Univ. of Edinburgh, Edinburgh (United Kingdom)
  2. Univ. of Liverpool, Liverpool (United Kingdom)
  3. York Univ., Toronto (Canada)
  4. Brookhaven National Lab. (BNL), Upton, NY (United States)
  5. 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)
Contributing Org.:
The RBC/UKQCD collaboration
OSTI Identifier:
1414829
Report Number(s):
BNL-114874-2017-JA
Journal ID: ISSN 1029-8479; KA2401012; TRN: US1800726
Grant/Contract Number:  
SC0012704
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2017; Journal Issue: 10; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; z-matrice; quark; DM; particles; fermions; kaon; BSM; chiral; flavour; RI-SMOM; Lattice field theory simulation; Non-perturbative 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 four-quark 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 four-quark operators. United States. https://doi.org/10.1007/JHEP10(2017)054
Boyle, Peter A., Garron, Nicolas, 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 ΔF = 2 four-quark operators". United States. https://doi.org/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 four-quark 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 (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.},
doi = {10.1007/JHEP10(2017)054},
url = {https://www.osti.gov/biblio/1414829}, journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 10,
volume = 2017,
place = {United States},
year = {Tue Oct 10 00:00:00 EDT 2017},
month = {Tue Oct 10 00:00:00 EDT 2017}
}

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Cited by: 12 works
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  • Garron, Nicolas; Boyle, Peter A.; Hudspith, Renwick
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Works referencing / citing this record:

FLAG Review 2019
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FLAG Review 2019: Flavour Lattice Averaging Group (FLAG)
journal, February 2020


FLAG Review 2019
text, January 2020


FLAG Review 2019
text, January 2020


Kaon CP violation and neutron EDM in the minimal left-right symmetric model
text, January 2019