Simulating rare kaon decays K + → π + ℓ + ℓ − using domain wall lattice QCD with physical light quark masses

Boyle, P. A.; Erben, F.; Flynn, J. M.; Gülpers, V.; Hill, R. C.; Hodgson, R.; Jüttner, A.; hÓgáin, F. Ó.; Portelli, A.; Sachrajda, C. T.

doi:10.1103/PhysRevD.107.L011503

Title: Simulating rare kaon decays $K^{+} \to π^{+} ℓ^{+} ℓ^{-}$ using domain wall lattice QCD with physical light quark masses

Abstract

We report the first calculation using physical light-quark masses of the electromagnetic form factor V(z) describing the long-distance contributions to the K⁺→π⁺ℓ⁺ℓ^- decay amplitude. The calculation is performed on a 2+1 flavor domain wall fermion ensemble with inverse lattice spacing a^-1=1.730(4)GeV. We implement a Glashow-Iliopoulos-Maiani cancellation by extrapolating to the physical charm-quark mass from three below-charm masses. We obtain V(z=0.013(2))=-0.87(4.44), achieving a bound for the value. The large statistical error arises from stochastically estimated quark loops.

Authors:

Boyle, P. A.; Erben, F.; Flynn, J. M.;

;

; Jüttner, A.; hÓgáin, F. Ó.;

; Sachrajda, C. T.; RBC and UKQCD Collaborations

Publication Date:: Fri Jan 13 00:00:00 EST 2023

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

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); BEIS; European Research Council (ERC); Leverhulme Trust; Science and Technology Facilities Council (STFC)

OSTI Identifier:: 1909259

Alternate Identifier(s):: OSTI ID: 1969902

Report Number(s):: BNL-224226-2023-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; L011503

Grant/Contract Number:: SC-0012704; SC0012704; ST/R00238X/1; ST/R001006/1; 757646; 813942; ST/P006760/1; ST/P000630/1; ST/P000711/1; ST/T000775/1

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 107 Journal Issue: 1; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; electroweak interaction; flavor changing neutral currents; form factors; lattice QCD; lattice field theory; particle decays; particle interactions; quantum chromodynamics; kaons; lattice gauge theory

Citation Formats


                    Boyle, P. A., Erben, F., Flynn, J. M., Gülpers, V., Hill, R. C., Hodgson, R., Jüttner, A., hÓgáin, F. Ó., Portelli, A., Sachrajda, C. T., and RBC and UKQCD Collaborations. Simulating rare kaon decays K + → π + ℓ + ℓ − using domain wall lattice QCD with physical light quark masses.  United States: N. p., 2023. 
Web.  doi:10.1103/PhysRevD.107.L011503.

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                    Boyle, P. A., Erben, F., Flynn, J. M., Gülpers, V., Hill, R. C., Hodgson, R., Jüttner, A., hÓgáin, F. Ó., Portelli, A., Sachrajda, C. T., & RBC and UKQCD Collaborations. Simulating rare kaon decays K + → π + ℓ + ℓ − using domain wall lattice QCD with physical light quark masses.  United States.  https://doi.org/10.1103/PhysRevD.107.L011503

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                    Boyle, P. A., Erben, F., Flynn, J. M., Gülpers, V., Hill, R. C., Hodgson, R., Jüttner, A., hÓgáin, F. Ó., Portelli, A., Sachrajda, C. T., and RBC and UKQCD Collaborations. Fri .  
"Simulating rare kaon decays K + → π + ℓ + ℓ − using domain wall lattice QCD with physical light quark masses".  United States.  https://doi.org/10.1103/PhysRevD.107.L011503.

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@article{osti_1909259,

  title        = {Simulating rare kaon decays K + → π + ℓ + ℓ − using domain wall lattice QCD with physical light quark masses},

  author       = {Boyle, P. A. and Erben, F. and Flynn, J. M. and Gülpers, V. and Hill, R. C. and Hodgson, R. and Jüttner, A. and hÓgáin, F. Ó. and Portelli, A. and Sachrajda, C. T. and RBC and UKQCD Collaborations},

  abstractNote = {We report the first calculation using physical light-quark masses of the electromagnetic form factor V(z) describing the long-distance contributions to the K+→π+ℓ+ℓ- decay amplitude. The calculation is performed on a 2+1 flavor domain wall fermion ensemble with inverse lattice spacing a-1=1.730(4)GeV. We implement a Glashow-Iliopoulos-Maiani cancellation by extrapolating to the physical charm-quark mass from three below-charm masses. We obtain V(z=0.013(2))=-0.87(4.44), achieving a bound for the value. The large statistical error arises from stochastically estimated quark loops.},

  doi          = {10.1103/PhysRevD.107.L011503},

  journal      = {Physical Review D},

  number       = 1,

  volume       = 107,

  place        = {United States},

  year         = {Fri Jan 13 00:00:00 EST 2023},

  month        = {Fri Jan 13 00:00:00 EST 2023}

}

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Title: Simulating rare kaon decays K + → π + ℓ + ℓ − using domain wall lattice QCD with physical light quark masses

Abstract

Citation Formats

An exploratory study of heavy domain wall fermions on the lattice journal, April 2016

Weak decays beyond leading logarithms journal, October 1996

Grid: OneCode and FourAPIs conference, July 2022

Matching long and short distances in the form factors for K → πℓ+ℓ− journal, October 2019

Prospects for a lattice computation of rare kaon decay amplitudes: K → π ℓ + ℓ − decays journal, November 2015

Review of Particle Physics journal, August 2020

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

First exploratory calculation of the long-distance contributions to the rare kaon decays K → π ℓ + ℓ − journal, December 2016

The decay constants fD and f D s $$ {f}_{D_s} $$ in the continuum limit of Nf = 2 + 1 domain wall lattice QCD journal, December 2017

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

Prospects for a lattice computation of rare kaon decay amplitudes. II. K → π ν ν ¯ decays journal, June 2016

Violation of lepton flavor and lepton flavor universality in rare kaon decays journal, April 2016

Calculation of the Hadronic Vacuum Polarization Disconnected Contribution to the Muon Anomalous Magnetic Moment journal, June 2016

Test of lepton universality in beauty-quark decays journal, March 2022

The Möbius domain wall fermion algorithm journal, November 2017

Improving DWF Simulations: Force Gradient Integrator and the Mobius Accelerated DWF Solver conference, July 2012

New measurement of the $K^+\to\pi^+\mu^+\mu^-$ decay at NA62 conference, January 2021

Kaon decays in the standard model journal, March 2012

Weak Interactions with Lepton-Hadron Symmetry journal, October 1970

Grid: A next generation data parallel C++ QCD library conference, July 2016

K L − K S Mass Difference from Lattice QCD journal, September 2014

Rare kaon decays on the lattice journal, February 2006

Domain wall QCD with physical quark masses journal, April 2016

On the amplitudes for the CP-conserving K±(KS) → π±(π0)ℓ+ℓ− rare decay modes journal, February 2019

Algorithmic improvements for weak coupling simulations of domain wall fermions conference, July 2016

Frequency-splitting estimators of single-propagator traces journal, July 2019

The decays K →π l + l − beyond leading order in the chiral expansion journal, August 1998

Exploratory Lattice QCD Study of the Rare Kaon Decay K + → π + ν ν ¯ journal, June 2017

Title: Simulating rare kaon decays $K^{+} \to π^{+} ℓ^{+} ℓ^{-}$ using domain wall lattice QCD with physical light quark masses

An exploratory study of heavy domain wall fermions on the lattice
journal, April 2016

Weak decays beyond leading logarithms
journal, October 1996

Grid: OneCode and FourAPIs
conference, July 2022

Matching long and short distances in the form factors for K → πℓ+ℓ−
journal, October 2019

Prospects for a lattice computation of rare kaon decay amplitudes: $K \to π ℓ^{+} ℓ^{-}$ decays
journal, November 2015

Review of Particle Physics
journal, August 2020

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

First exploratory calculation of the long-distance contributions to the rare kaon decays $K \to π ℓ^{+} ℓ^{-}$
journal, December 2016

The decay constants fD and f D s $$ {f}_{D_s} $$ in the continuum limit of Nf = 2 + 1 domain wall lattice QCD
journal, December 2017

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

Prospects for a lattice computation of rare kaon decay amplitudes. II. $K \to π ν \bar{ν}$ decays
journal, June 2016

Violation of lepton flavor and lepton flavor universality in rare kaon decays
journal, April 2016

Calculation of the Hadronic Vacuum Polarization Disconnected Contribution to the Muon Anomalous Magnetic Moment
journal, June 2016

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journal, November 2017

Improving DWF Simulations: Force Gradient Integrator and the Mobius Accelerated DWF Solver
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New measurement of the $K^+\to\pi^+\mu^+\mu^-$ decay at NA62
conference, January 2021

Kaon decays in the standard model
journal, March 2012

Weak Interactions with Lepton-Hadron Symmetry
journal, October 1970

Grid: A next generation data parallel C++ QCD library
conference, July 2016

$K_{L} - K_{S}$ Mass Difference from Lattice QCD
journal, September 2014

Rare kaon decays on the lattice
journal, February 2006

Domain wall QCD with physical quark masses
journal, April 2016

On the amplitudes for the CP-conserving K±(KS) → π±(π0)ℓ+ℓ− rare decay modes
journal, February 2019

Algorithmic improvements for weak coupling simulations of domain wall fermions
conference, July 2016

Frequency-splitting estimators of single-propagator traces
journal, July 2019

The decays K →π l ⁺ l ⁻ beyond leading order in the chiral expansion
journal, August 1998

Exploratory Lattice QCD Study of the Rare Kaon Decay $K^{+} \to π^{+} ν \bar{ν}$
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