skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

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) (SC-25)
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:
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 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. 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 four-quark 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 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},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2017,
place = {United States},
year = {2017},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Aharonov–Bohm effect and nucleon–nucleon phase shifts on the lattice
journal, July 2004


The ΔS = 1 effective hamiltonian including next-to-leading order QCD and QED corrections
journal, March 1994


On the discretization of physical momenta in lattice QCD
journal, August 2004


Twisted boundary conditions in lattice simulations
journal, March 2005


Neutral kaon mixing beyond the standard model with n f = 2 + 1 chiral fermions
journal, September 2012


Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point
journal, July 2009


Lattice determination of the K ( π π ) I = 2 decay amplitude A 2
journal, October 2012


The four-loop β-function in quantum chromodynamics
journal, May 1997


Matching factors for Δ S = 1 four-quark operators in RI/SMOM schemes
journal, July 2011


On the Schrödinger functional in QCD
journal, June 1994


Next-to-leading order QCD corrections to ΔF = 2 effective hamiltonians
journal, July 1998


A complete analysis of FCNC and CP constraints in general SUSY extensions of the standard model
journal, October 1996


D 0 D ¯ 0 mixing in the standard model and beyond from N f = 2 twisted mass QCD
journal, July 2014


Δ S = 2 and Δ C = 2 bag parameters in the standard model and beyond from N f = 2 + 1 + 1 twisted-mass lattice QCD
journal, August 2015


Precise MS ¯ light-quark masses from lattice QCD in the regularization invariant symmetric momentum-subtraction scheme
journal, December 2010


Δ M K and epsilon K in SUSY at the next-to-leading order
journal, October 1998


Nonperturbative renormalization of quark bilinear operators and B K using domain wall fermions
journal, September 2008


Non-perturbative renormalisation of composite operators in lattice QCD
journal, April 1999


Computation of the running coupling in the SU(2) Yang-Mills theory
journal, January 1993


K 0 K ¯ 0 mixing beyond the standard model and C P -violating electroweak penguins in quenched QCD with exact chiral symmetry
journal, October 2006


Two-loop QCD anomalous dimensions of flavour-changing four-quark operators within and beyond the Standard Model
journal, October 2000


On the perturbative renormalization of four-quark operators for new physics
journal, June 2017


B-parameters for ΔS=2 supersymmetric operators
journal, April 1999


Renormalization Constants of Quark Operators for the Non-Perturbatively Improved Wilson Action
journal, August 2004


Domain wall QCD with physical quark masses
journal, April 2016


K π π Δ I = 3 / 2 decay amplitude in the continuum limit
journal, April 2015


Step-scaling with off-shell renormalization
journal, June 2011


Strong Coupling Constant with Flavor Thresholds at Four Loops in the Modified Minimal-Subtraction Scheme
journal, September 1997


A general method for non-perturbative renormalization of lattice operators
journal, July 1995


K ( π π ) I = 2 Decay Amplitude from Lattice QCD
journal, April 2012


Weak Matrix Elements of Beyond the Standard Model \Delta s=2 four-quark operators from nf=2+1 Domain-Wall fermions
conference, December 2012

  • Garron, Nicolas; Boyle, Peter A.; Hudspith, Renwick
  • Proceedings of The 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012)
  • DOI: 10.22323/1.164.0108

    Works referencing / citing this record:

    Kaon C P violation and neutron EDM in the minimal left-right symmetric model
    journal, February 2020