Finite-volume effects in long-distance processes with massless leptonic propagators

Christ, Norman H.; Feng, Xu; Jin, Lu-Chang; Sachrajda, Christopher T.

doi:10.1103/PhysRevD.103.014507

Title: Finite-volume effects in long-distance processes with massless leptonic propagators

Abstract

A method was proposed recently [X. Feng and L. Jin, Phys. Rev. D 100, 094509 (2019)] to calculate QED corrections to hadronic self-energies from lattice QCD without power-law finite-volume errors. In this paper, we extend the method to processes which occur at second order in the weak interaction and in which there is a massless (or almost massless) leptonic propagator. We demonstrate that, in spite of the presence of the propagator of an almost massless electron, such an infinite-volume reconstruction procedure can be used to obtain the amplitude for the rare kaon decay $$K^{+}\rightarrow\pi^{+}v\bar{v}$$ from a lattice quantum chromodynamics computation with only exponentially small finite-volume corrections.

Authors:

Christ, Norman H.;

; Jin, Lu-Chang; Sachrajda, Christopher T.

Publication Date:: Fri Jan 08 00:00:00 EST 2021

Research Org.:: Univ. of Connecticut, Storrs, CT (United States); Columbia Univ., New York, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC); National Natural Science Foundation of China (NSFC); Science and Technology Facilities Council (STFC) (United Kingdom)

OSTI Identifier:: 1756460

Alternate Identifier(s):: OSTI ID: 1851361

Grant/Contract Number:: SC0011941; SC0010339; SC0021147; 11775002; 12070131001; ST/P000711/1

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 103 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; Astronomy & Astrophysics; Physics; Lattice QCD

Citation Formats


                    Christ, Norman H., Feng, Xu, Jin, Lu-Chang, and Sachrajda, Christopher T. Finite-volume effects in long-distance processes with massless leptonic propagators.  United States: N. p., 2021. 
Web.  doi:10.1103/PhysRevD.103.014507.

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                    Christ, Norman H., Feng, Xu, Jin, Lu-Chang, & Sachrajda, Christopher T. Finite-volume effects in long-distance processes with massless leptonic propagators.  United States.  https://doi.org/10.1103/PhysRevD.103.014507

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                    Christ, Norman H., Feng, Xu, Jin, Lu-Chang, and Sachrajda, Christopher T. Fri .  
"Finite-volume effects in long-distance processes with massless leptonic propagators".  United States.  https://doi.org/10.1103/PhysRevD.103.014507.

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@article{osti_1756460,

  title        = {Finite-volume effects in long-distance processes with massless leptonic propagators},

  author       = {Christ, Norman H. and Feng, Xu and Jin, Lu-Chang and Sachrajda, Christopher T.},

  abstractNote = {A method was proposed recently [X. Feng and L. Jin, Phys. Rev. D 100, 094509 (2019)] to calculate QED corrections to hadronic self-energies from lattice QCD without power-law finite-volume errors. In this paper, we extend the method to processes which occur at second order in the weak interaction and in which there is a massless (or almost massless) leptonic propagator. We demonstrate that, in spite of the presence of the propagator of an almost massless electron, such an infinite-volume reconstruction procedure can be used to obtain the amplitude for the rare kaon decay $K^{+}\rightarrow\pi^{+}v\bar{v}$ from a lattice quantum chromodynamics computation with only exponentially small finite-volume corrections.},

  doi          = {10.1103/PhysRevD.103.014507},

  journal      = {Physical Review D},

  number       = 1,

  volume       = 103,

  place        = {United States},

  year         = {Fri Jan 08 00:00:00 EST 2021},

  month        = {Fri Jan 08 00:00:00 EST 2021}

}

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Works referenced in this record:

First-Principles Calculation of Electroweak Box Diagrams from Lattice QCD
journal, May 2020

Feng, Xu; Gorchtein, Mikhail; Jin, Lu-Chang
Physical Review Letters, Vol. 124, Issue 19
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Christ, N. H.; Izubuchi, T.; Sachrajda, C. T.
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Christ, N. H.; Feng, X.; Portelli, A.
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Nicholson, A.; Berkowitz, E.; Monge-Camacho, H.
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Effects of finite volume on the $K_{L} - K_{S}$ mass difference
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Christ, N. H.; Feng, X.; Martinelli, G.
Physical Review D, Vol. 91, Issue 11
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Christ, Norman H.; Feng, Xu; Jüttner, Andreas
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Light-Neutrino Exchange and Long-Distance Contributions to $0 ν 2 β$ Decays: An Exploratory Study on $π π \to e e$
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Feng, Xu; Jin, Lu-Chang; Tuo, Xin-Yu
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$K_{L} - K_{S}$ Mass Difference from Lattice QCD
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Christ, Norman H.; Feng, Xu; Portelli, Antonin
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Christ, Norman H.; Feng, Xu; Portelli, Antonin
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Long-distance contributions to neutrinoless double beta decay π − → π + e e
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Title: Finite-volume effects in long-distance processes with massless leptonic propagators

Abstract

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