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Title: Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions

Abstract

A relation is presented between single-hadron long-range matrix elements defined in a finite Euclidean spacetime, and the corresponding infinite-volume Minkowski amplitudes. This relation is valid in the kinematic region where any number of two-hadron states can simultaneously go on shell, so that the effects of strongly-coupled intermediate channels are included. These channels can consist of non-identical particles with arbitrary intrinsic spins. The result accommodates general Lorentz structures as well as non-zero momentum transfer for the two external currents inserted between the single-hadron states. The formalism, therefore, generalizes the work by Christ et al.~[Phys.Rev. D91 114510 (2015)], and extends the reach of lattice quantum chromodynamics (QCD) to a wide class of new observables beyond meson mixing and rare decays. Applications include Compton scattering of the pion ($$\pi \gamma^\star \to [\pi \pi, K \overline K] \to \pi \gamma^\star$$), kaon ($$K \gamma^\star \to [\pi K, \eta K] \to K \gamma^\star$$) and nucleon ($$N \gamma^\star \to N \pi \to N \gamma^\star$$), as well as double-$$\beta$$ decays, and radiative corrections to the single-$$\beta$$ decay, of QCD-stable hadrons. The framework presented will further facilitate generalization of the result to studies of nuclear amplitudes involving two currents from lattice QCD.

Authors:
ORCiD logo [1];  [2];  [3]; ORCiD logo [4];  [5]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
  2. Univ. of Maryland, College Park, MD (United States); Inst. of Physical and Chemical Research (RIKEN), Wako (Japan)
  3. European Organization for Nuclear Research (CERN), Geneva (Switzerland)
  4. Univ. of South Carolina, Columbia, SC (United States)
  5. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of South Carolina, Columbia, SC (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1596393
Alternate Identifier(s):
OSTI ID: 1596629
Report Number(s):
JLAB-THY-19-3051; DOE/OR/23177-4779; arXiv:1911.04036; CERN-TH-2019-189; UMD-PP-019-06
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:  
AC05-06OR23177; de-sc0019229; SC0019647; AC52-06NA25396
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 101; Journal Issue: 1; Journal ID: ISSN 2470-0010
Country of Publication:
United States
Language:
English

Citation Formats

Briceno, Raul A., Davoudi, Zohreh, Hansen, Maxwell T., Schindler, Matthias R., and Baroni, Alessandro. Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions. United States: N. p., 2020. Web. doi:10.1103/PhysRevD.101.014509.
Briceno, Raul A., Davoudi, Zohreh, Hansen, Maxwell T., Schindler, Matthias R., & Baroni, Alessandro. Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions. United States. doi:10.1103/PhysRevD.101.014509.
Briceno, Raul A., Davoudi, Zohreh, Hansen, Maxwell T., Schindler, Matthias R., and Baroni, Alessandro. Wed . "Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions". United States. doi:10.1103/PhysRevD.101.014509.
@article{osti_1596393,
title = {Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions},
author = {Briceno, Raul A. and Davoudi, Zohreh and Hansen, Maxwell T. and Schindler, Matthias R. and Baroni, Alessandro},
abstractNote = {A relation is presented between single-hadron long-range matrix elements defined in a finite Euclidean spacetime, and the corresponding infinite-volume Minkowski amplitudes. This relation is valid in the kinematic region where any number of two-hadron states can simultaneously go on shell, so that the effects of strongly-coupled intermediate channels are included. These channels can consist of non-identical particles with arbitrary intrinsic spins. The result accommodates general Lorentz structures as well as non-zero momentum transfer for the two external currents inserted between the single-hadron states. The formalism, therefore, generalizes the work by Christ et al.~[Phys.Rev. D91 114510 (2015)], and extends the reach of lattice quantum chromodynamics (QCD) to a wide class of new observables beyond meson mixing and rare decays. Applications include Compton scattering of the pion ($\pi \gamma^\star \to [\pi \pi, K \overline K] \to \pi \gamma^\star$), kaon ($K \gamma^\star \to [\pi K, \eta K] \to K \gamma^\star$) and nucleon ($N \gamma^\star \to N \pi \to N \gamma^\star$), as well as double-$\beta$ decays, and radiative corrections to the single-$\beta$ decay, of QCD-stable hadrons. The framework presented will further facilitate generalization of the result to studies of nuclear amplitudes involving two currents from lattice QCD.},
doi = {10.1103/PhysRevD.101.014509},
journal = {Physical Review D},
number = 1,
volume = 101,
place = {United States},
year = {2020},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
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DOI: 10.1103/PhysRevD.101.014509

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