QED self-energies from lattice QCD without power-law finite-volume errors

Feng, Xu; Jin, Luchang

doi:10.1103/PhysRevD.100.094509

Title: QED self-energies from lattice QCD without power-law finite-volume errors

Abstract

Using the infinite-volume photon propagator, we develop a method which allows us to calculate electromagnetic corrections to stable hadron masses at leading order in α QED with only exponentially suppressed finite-volume effects. The key idea is that the infinite-volume hadronic current-current correlation function with large time separation between the two currents can be reconstructed by its value at modest time separation, which can be evaluated in finite volume with only exponentially suppressed errors. This approach can be extended to many other possible applications such as QED corrections to (semi)leptonic decays and some rare decays.

Authors:

Feng, Xu;

Publication Date:: 2019-11-26

Research Org.:: Univ. of Connecticut, Storrs, CT (United States)

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

OSTI Identifier:: 1575831

Alternate Identifier(s):: OSTI ID: 1596008

Grant/Contract Number:: SC0010339

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 9; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Feng, Xu, and Jin, Luchang. QED self-energies from lattice QCD without power-law finite-volume errors.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.100.094509.

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                    Feng, Xu, & Jin, Luchang. QED self-energies from lattice QCD without power-law finite-volume errors.  United States.  https://doi.org/10.1103/PhysRevD.100.094509

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                    Feng, Xu, and Jin, Luchang. Tue .  
"QED self-energies from lattice QCD without power-law finite-volume errors".  United States.  https://doi.org/10.1103/PhysRevD.100.094509.

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@article{osti_1575831,

  title        = {QED self-energies from lattice QCD without power-law finite-volume errors},

  author       = {Feng, Xu and Jin, Luchang},

  abstractNote = {Using the infinite-volume photon propagator, we develop a method which allows us to calculate electromagnetic corrections to stable hadron masses at leading order in α QED with only exponentially suppressed finite-volume effects. The key idea is that the infinite-volume hadronic current-current correlation function with large time separation between the two currents can be reconstructed by its value at modest time separation, which can be evaluated in finite volume with only exponentially suppressed errors. This approach can be extended to many other possible applications such as QED corrections to (semi)leptonic decays and some rare decays.},

  doi          = {10.1103/PhysRevD.100.094509},

  journal      = {Physical Review D},

  number       = 9,

  volume       = 100,

  place        = {United States},

  year         = {2019},

  month        = {11}

}

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Works referenced in this record:

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Title: QED self-energies from lattice QCD without power-law finite-volume errors

Abstract

Citation Formats

Using infinite-volume, continuum QED and lattice QCD for the hadronic light-by-light contribution to the muon anomalous magnetic moment journal, August 2017

Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states journal, June 1986

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

Position-space approach to hadronic light-by-light scattering in the muon $g-2$ on the lattice conference, March 2017

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

Calculation of the Hadronic Vacuum Polarization Contribution to the Muon Anomalous Magnetic Moment journal, July 2018

Determination of light quark masses from the electromagnetic splitting of pseudoscalar meson masses computed with two flavors of domain wall fermions journal, December 2007

Electromagnetic Splittings and Light Quark Masses in Lattice QCD journal, May 1996

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

QED in Finite Volume and Finite Size Scaling Effect on Electromagnetic Properties of Hadrons journal, September 2008

Theoretical aspects of quantum electrodynamics in a finite volume with periodic boundary conditions journal, February 2019

Electromagnetic structure of light baryons in lattice QCD journal, September 1997

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

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Finite-volume QED corrections to decay amplitudes in lattice QCD journal, February 2017

Leading isospin breaking effects on the lattice journal, June 2013

Full QED + QCD Low-Energy Constants through Reweighting journal, August 2012

Massive Photons: An Infrared Regularization Scheme for Lattice QCD + QED journal, August 2016

First Lattice Calculation of the QED Corrections to Leptonic Decay Rates journal, February 2018

QED corrections to hadronic processes in lattice QCD journal, April 2015

Ab initio calculation of the neutron-proton mass difference journal, March 2015

K + → π + ν ν ¯ decay amplitude from lattice QCD journal, October 2018

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

Using infinite-volume, continuum QED and lattice QCD for the hadronic light-by-light contribution to the muon anomalous magnetic moment
journal, August 2017

Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states
journal, June 1986

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

Position-space approach to hadronic light-by-light scattering in the muon $g-2$ on the lattice
conference, March 2017

Charged hadrons in local finite-volume QED+QCD with C⋆ boundary conditions
journal, February 2016

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

Calculation of the Hadronic Vacuum Polarization Contribution to the Muon Anomalous Magnetic Moment
journal, July 2018

Determination of light quark masses from the electromagnetic splitting of pseudoscalar meson masses computed with two flavors of domain wall fermions
journal, December 2007

Electromagnetic Splittings and Light Quark Masses in Lattice QCD
journal, May 1996

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

QED in Finite Volume and Finite Size Scaling Effect on Electromagnetic Properties of Hadrons
journal, September 2008

Theoretical aspects of quantum electrodynamics in a finite volume with periodic boundary conditions
journal, February 2019

Electromagnetic structure of light baryons in lattice QCD
journal, September 1997

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

Vector correlators in lattice QCD: Methods and applications
journal, November 2011

Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
journal, September 2017

Electromagnetic mass splittings of the low lying hadrons and quark masses from $2 + 1$ flavor lattice $QCD + QED$
journal, November 2010

Finite-volume QED corrections to decay amplitudes in lattice QCD
journal, February 2017

Leading isospin breaking effects on the lattice
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Full $QED + QCD$ Low-Energy Constants through Reweighting
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