Towards a nonperturbative calculation of weak Hamiltonian Wilson coefficients

Bruno, Mattia; Lehner, Christoph; Soni, Amarjit

doi:10.1103/PhysRevD.97.074509

Title: Towards a nonperturbative calculation of weak Hamiltonian Wilson coefficients

Abstract

Here, we propose a method to compute the Wilson coefficients of the weak effective Hamiltonian to all orders in the strong coupling constant using Lattice QCD simulations. We perform our calculations adopting an unphysically light weak boson mass of around 2 GeV. We demonstrate that systematic errors for the Wilson coefficients C₁ and C₂, related to the current-current four-quark operators, can be controlled and present a path towards precise determinations in subsequent works.

Authors:: Bruno, Mattia; Lehner, Christoph; Soni, Amarjit; RBC and UKQCD Collaborations

Publication Date:: Fri Apr 20 00:00:00 EDT 2018

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

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

Contributing Org.:: RBC and UKQCD Collaborations

OSTI Identifier:: 1434187

Alternate Identifier(s):: OSTI ID: 1440345

Report Number(s):: BNL-205731-2018-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 074509

Grant/Contract Number:: SC0012704

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 7; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; standard model; lattice; QCD; GeV; decay; Wilson; NNLO; EFT; coupling; Hamiltonian; axial; wilson; boson; quark

Citation Formats


                    Bruno, Mattia, Lehner, Christoph, Soni, Amarjit, and RBC and UKQCD Collaborations. Towards a nonperturbative calculation of weak Hamiltonian Wilson coefficients.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.97.074509.

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                    Bruno, Mattia, Lehner, Christoph, Soni, Amarjit, & RBC and UKQCD Collaborations. Towards a nonperturbative calculation of weak Hamiltonian Wilson coefficients.  United States.  https://doi.org/10.1103/PhysRevD.97.074509

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                    Bruno, Mattia, Lehner, Christoph, Soni, Amarjit, and RBC and UKQCD Collaborations. Fri .  
"Towards a nonperturbative calculation of weak Hamiltonian Wilson coefficients".  United States.  https://doi.org/10.1103/PhysRevD.97.074509.

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@article{osti_1434187,

  title        = {Towards a nonperturbative calculation of weak Hamiltonian Wilson coefficients},

  author       = {Bruno, Mattia and Lehner, Christoph and Soni, Amarjit and RBC and UKQCD Collaborations},

  abstractNote = {Here, we propose a method to compute the Wilson coefficients of the weak effective Hamiltonian to all orders in the strong coupling constant using Lattice QCD simulations. We perform our calculations adopting an unphysically light weak boson mass of around 2 GeV. We demonstrate that systematic errors for the Wilson coefficients C1 and C2, related to the current-current four-quark operators, can be controlled and present a path towards precise determinations in subsequent works.},

  doi          = {10.1103/PhysRevD.97.074509},

  journal      = {Physical Review D},

  number       = 7,

  volume       = 97,

  place        = {United States},

  year         = {Fri Apr 20 00:00:00 EDT 2018},

  month        = {Fri Apr 20 00:00:00 EDT 2018}

}

Copy to clipboard

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Title: Towards a nonperturbative calculation of weak Hamiltonian Wilson coefficients

Abstract

Citation Formats

A precise determination of the running coupling in the SU(3) Yang-Mills theory journal, January 1994

Weak decays beyond leading logarithms journal, October 1996

2 + 1 flavor domain wall QCD on a ( 2 fm ) 3 lattice: Light meson spectroscopy with L s = 16 journal, July 2007

Lattice calculation of hadronic light-by-light contribution to the muon anomalous magnetic moment journal, January 2016

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

Continuum limit physics from 2 + 1 flavor domain wall QCD journal, April 2011

QCD with domain wall quarks journal, July 1997

Axial symmetries in lattice QCD with Kaplan fermions journal, April 1995

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Application of chiral perturbation theory to K→2π decays journal, November 1985

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

Chiral fermions from lattice boundaries journal, September 1993

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New class of variance-reduction techniques using lattice symmetries journal, November 2013

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A numerical method to compute the running coupling in asymptotically free theories journal, July 1991

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A property of electric and magnetic flux in non-Abelian gauge theories journal, January 1979

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

Recent developments in weak matrix element calculations journal, April 1988

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Universality and the approach to the continuum limit in lattice gauge theory journal, March 1995

Some twisted self-dual solutions for the Yang-Mills equations on a hypertorus journal, June 1981

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

Standard Model Prediction for Direct C P Violation in K → π π Decay journal, November 2015

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A precise determination of the running coupling in the SU(3) Yang-Mills theory
journal, January 1994

Weak decays beyond leading logarithms
journal, October 1996

$2 + 1$ flavor domain wall QCD on a $(2 fm)^{3}$ lattice: Light meson spectroscopy with $L_{s} = 16$
journal, July 2007

Lattice calculation of hadronic light-by-light contribution to the muon anomalous magnetic moment
journal, January 2016

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

Continuum limit physics from $2 + 1$ flavor domain wall QCD
journal, April 2011

QCD with domain wall quarks
journal, July 1997

Axial symmetries in lattice QCD with Kaplan fermions
journal, April 1995

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

Application of chiral perturbation theory to K→2π decays
journal, November 1985

Lattice determination of the $K \to (π π)_{I = 2}$ decay amplitude $A_{2}$
journal, October 2012

Chiral fermions from lattice boundaries
journal, September 1993

Non-perturbative renormalization of lattice operators in coordinate space
journal, September 2004

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

New class of variance-reduction techniques using lattice symmetries
journal, November 2013

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journal, April 2015

Kaon matrix elements and CP violation from quenched lattice QCD: The 3-flavor case
journal, December 2003

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journal, October 2016

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, October 2017

Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG)
journal, February 2017

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journal, September 2017

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journal, July 1991

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journal, September 2008

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journal, May 2005

A property of electric and magnetic flux in non-Abelian gauge theories
journal, January 1979

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journal, September 2000

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journal, October 2000

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journal, April 1988

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journal, August 1999

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journal, August 2004

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journal, November 1997

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

Universality and the approach to the continuum limit in lattice gauge theory
journal, March 1995

Some twisted self-dual solutions for the Yang-Mills equations on a hypertorus
journal, June 1981

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

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