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

doi:10.1103/PhysRevD.101.014509

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:

^[1]; Davoudi, Zohreh ^[2]; Hansen, Maxwell T. ^[3];

^[4]; Baroni, Alessandro ^[5]

Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
Univ. of Maryland, College Park, MD (United States); Inst. of Physical and Chemical Research (RIKEN), Wako (Japan)
European Organization for Nuclear Research (CERN), Geneva (Switzerland)
Univ. of South Carolina, Columbia, SC (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of South Carolina, Columbia, SC (United States)

Publication Date:: 2020-01-01

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.

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                    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.

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                    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.

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@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}

}

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Relativistic, model-independent, three-particle quantization condition
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DOI: 10.1007/JHEP09(2015)074

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

Abstract

Citation Formats

Deeply virtual Compton scattering journal, June 1997

Neutrinoless Double Beta Decay: 2015 Review journal, January 2016

Neutrinoless Double-Beta Decay: Status and Prospects journal, October 2019

Current status of neutrinoless double-beta decay searches journal, November 2016

Neutrino-Less Double beta Decay and Particle Physics journal, September 2011

Neutrinoless double β decay and effective field theory journal, August 2003

Chiral Two-Body Currents in Nuclei: Gamow-Teller Transitions and Neutrinoless Double-Beta Decay journal, August 2011

Neutrinoless double- β decay in effective field theory: The light-Majorana neutrino-exchange mechanism journal, June 2018

New Leading Contribution to Neutrinoless Double- β Decay journal, May 2018

A neutrinoless double beta decay master formula from effective field theory journal, December 2018

Heavy Physics Contributions to Neutrinoless Double Beta Decay from QCD journal, October 2018

Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- β Decay Phenomenology journal, August 2017

Double- β decay matrix elements from lattice quantum chromodynamics journal, September 2017

Long-distance contributions to neutrinoless double beta decay π − → π + e e journal, November 2019

Light-Neutrino Exchange and Long-Distance Contributions to 0 ν 2 β Decays: An Exploratory Study on π π → e e journal, January 2019

Nuclear Matrix Elements for Neutrinoless Double Beta Decay from Lattice QCD conference, May 2019

Improved Calculation of Electroweak Radiative Corrections and the Value of V u d journal, January 2006

Reduced Hadronic Uncertainty in the Determination of V u d journal, December 2018

Radiative corrections to neutron and nuclear beta decays revisited journal, October 2019

The role of Lattice QCD in searches for violations of fundamental symmetries and signals for new physics journal, November 2019

Opportunities for Lattice QCD in quark and lepton flavor physics journal, November 2019

Hadrons and nuclei journal, November 2019

Lattice QCD and neutrino-nucleus scattering journal, November 2019

Real-Time Dynamics in U(1) Lattice Gauge Theories with Tensor Networks journal, March 2016

Monte Carlo Study of Real Time Dynamics on the Lattice journal, August 2016

Real-time dynamics of lattice gauge theories with a few-qubit quantum computer journal, June 2016

Quantum-classical computation of Schwinger model dynamics using quantum computers journal, September 2018

Finite-volume effects in the evaluation of the $K_L$-$K_S$ mass difference conference, April 2014

Effects of finite volume on the K L − K S mass difference journal, June 2015

Long distance contribution to the K L − K S mass difference journal, July 2013

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

Calculating the $K_L-K_S$ mass difference and $\epsilon_K$ to sub-percent accuracy conference, April 2014

The K L - K S Mass Difference journal, January 2018

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

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

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

Lattice QCD study of the rare kaon decay K + → π + ν ν ¯ at a near-physical pion mass journal, December 2019

From deep inelastic scattering to heavy-flavor semileptonic decays: Total rates into multihadron final states from lattice QCD journal, November 2017

Scattering amplitudes from finite-volume spectral functions journal, August 2019

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

Lattice QCD and the Timelike Pion Form Factor journal, August 2011

New representation of the Adler function for lattice QCD journal, September 2013

The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD journal, October 2017

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

Lattice QCD and the anomalous magnetic moment of the muon journal, January 2019

Leading hadronic contribution to ( g − 2 ) μ from lattice QCD with N f = 2 + 1 flavors of O ( a ) improved Wilson quarks journal, July 2019

Scattering processes and resonances from lattice QCD journal, April 2018

Two-particle states on a torus and their relation to the scattering matrix journal, May 1991

Resonance scattering phase shifts on a non-rest-frame lattice journal, September 1995

Finite-volume effects for two-hadron states in moving frames journal, October 2005

Two particle states and the S -matrix elements in multi-channel scattering journal, July 2005

Improving the volume dependence of two-body binding energies calculated with lattice QCD journal, December 2011

Multiple-channel generalization of Lellouch-Lüscher formula journal, July 2012

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Two-nucleon systems in a finite volume: Quantization conditions journal, August 2013

Two-particle multichannel systems in a finite volume with arbitrary spin journal, April 2014

Coupled π π , K K ¯ scattering in P -wave and the ρ resonance from lattice QCD journal, November 2015

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Determination of s- and p-wave I = 1/2 Kπ scattering amplitudes in Nf = 2 + 1 lattice QCD journal, July 2018

Extraction of isoscalar π π phase shifts from lattice QCD journal, July 2018

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b 1 resonance in coupled π ω , π ϕ scattering from lattice QCD journal, September 2019

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Hadronic Interaction conference, May 2015

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Deeply virtual Compton scattering
journal, June 1997

Neutrinoless Double Beta Decay: 2015 Review
journal, January 2016

Neutrinoless Double-Beta Decay: Status and Prospects
journal, October 2019

Current status of neutrinoless double-beta decay searches
journal, November 2016

Neutrino-Less Double beta Decay and Particle Physics
journal, September 2011

Neutrinoless double $β$ decay and effective field theory
journal, August 2003

Chiral Two-Body Currents in Nuclei: Gamow-Teller Transitions and Neutrinoless Double-Beta Decay
journal, August 2011

Neutrinoless double- $β$ decay in effective field theory: The light-Majorana neutrino-exchange mechanism
journal, June 2018

New Leading Contribution to Neutrinoless Double- $β$ Decay
journal, May 2018

A neutrinoless double beta decay master formula from effective field theory
journal, December 2018

Heavy Physics Contributions to Neutrinoless Double Beta Decay from QCD
journal, October 2018

Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- $β$ Decay Phenomenology
journal, August 2017

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journal, September 2017

Long-distance contributions to neutrinoless double beta decay π − → π + e e
journal, November 2019

Light-Neutrino Exchange and Long-Distance Contributions to $0 ν 2 β$ Decays: An Exploratory Study on $π π \to e e$
journal, January 2019

Nuclear Matrix Elements for Neutrinoless Double Beta Decay from Lattice QCD
conference, May 2019

Improved Calculation of Electroweak Radiative Corrections and the Value of $V_{u d}$
journal, January 2006

Reduced Hadronic Uncertainty in the Determination of $V_{u d}$
journal, December 2018

Radiative corrections to neutron and nuclear beta decays revisited
journal, October 2019

The role of Lattice QCD in searches for violations of fundamental symmetries and signals for new physics
journal, November 2019

Opportunities for Lattice QCD in quark and lepton flavor physics
journal, November 2019

Hadrons and nuclei
journal, November 2019

Lattice QCD and neutrino-nucleus scattering
journal, November 2019

Real-Time Dynamics in U(1) Lattice Gauge Theories with Tensor Networks
journal, March 2016

Monte Carlo Study of Real Time Dynamics on the Lattice
journal, August 2016

Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
journal, June 2016

Quantum-classical computation of Schwinger model dynamics using quantum computers
journal, September 2018

Finite-volume effects in the evaluation of the $K_L$-$K_S$ mass difference
conference, April 2014

Effects of finite volume on the $K_{L} - K_{S}$ mass difference
journal, June 2015

Long distance contribution to the $K_{L} - K_{S}$ mass difference
journal, July 2013

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

Calculating the $K_L-K_S$ mass difference and $\epsilon_K$ to sub-percent accuracy
conference, April 2014

The K _L - K _S Mass Difference
journal, January 2018

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

Exploratory Lattice QCD Study of the Rare Kaon Decay $K^{+} \to π^{+} ν \bar{ν}$
journal, June 2017

$K^{+} \to π^{+} ν \bar{ν}$ decay amplitude from lattice QCD
journal, October 2018

Lattice QCD study of the rare kaon decay K + → π + ν ν ¯ at a near-physical pion mass
journal, December 2019

From deep inelastic scattering to heavy-flavor semileptonic decays: Total rates into multihadron final states from lattice QCD
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Scattering amplitudes from finite-volume spectral functions
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Vector correlators in lattice QCD: Methods and applications
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Lattice QCD and the Timelike Pion Form Factor
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New representation of the Adler function for lattice QCD
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The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD
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Calculation of the Hadronic Vacuum Polarization Contribution to the Muon Anomalous Magnetic Moment
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Lattice QCD and the anomalous magnetic moment of the muon
journal, January 2019

Leading hadronic contribution to $(g - 2)_{μ}$ from lattice QCD with $N_{f} = 2 + 1$ flavors of $O (a)$ improved Wilson quarks
journal, July 2019

Scattering processes and resonances from lattice QCD
journal, April 2018

Two-particle states on a torus and their relation to the scattering matrix
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Resonance scattering phase shifts on a non-rest-frame lattice
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Finite-volume effects for two-hadron states in moving frames
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Two particle states and the S -matrix elements in multi-channel scattering
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Multiple-channel generalization of Lellouch-Lüscher formula
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Two-particle multichannel systems in a finite volume with arbitrary spin
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Coupled $π π$ , $K \bar{K}$ scattering in $P$ -wave and the $ρ$ resonance from lattice QCD
journal, November 2015

Isoscalar $π π$ Scattering and the $σ$ Meson Resonance from QCD
journal, January 2017

Determination of s- and p-wave I = 1/2 Kπ scattering amplitudes in Nf = 2 + 1 lattice QCD
journal, July 2018

Extraction of isoscalar $π π$ phase shifts from lattice QCD
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The I = 1 pion–pion scattering amplitude and timelike pion form factor from Nf = 2 + 1 lattice QCD
journal, February 2019

Resonances in Coupled $π K − η K$ Scattering from Quantum Chromodynamics
journal, October 2014

An $a_{0}$ resonance in strongly coupled $π η$ , $K \bar{K}$ scattering from lattice QCD
journal, May 2016

Dynamically-coupled partial-waves in ρπ isospin-2 scattering from lattice QCD
journal, July 2018

$b_{1}$ resonance in coupled $π ω$ , $π ϕ$ scattering from lattice QCD
journal, September 2019

Two nucleon systems at $m_{π} \sim 450 MeV$ from lattice QCD
journal, December 2015

Two-nucleon higher partial-wave scattering from lattice QCD
journal, February 2017

Baryon-baryon interactions and spin-flavor symmetry from lattice quantum chromodynamics
journal, December 2017

Weak Transition Matrix Elements¶from Finite-Volume Correlation Functions
journal, May 2001

Multichannel $1 \to 2$ transition amplitudes in a finite volume
journal, February 2015

Timelike pion form factor in lattice QCD
journal, March 2015

Multichannel $0 \to 2$ and $1 \to 2$ transition amplitudes for arbitrary spin particles in a finite volume
journal, October 2015

Relativistic, model-independent, multichannel $2 \to 2$ transition amplitudes in a finite volume
journal, July 2016

Form factors of two-hadron states from a covariant finite-volume formalism
journal, August 2019

Hadronic Interaction
conference, May 2015

Lattice QCD input for nuclear structure and reactions
journal, January 2018

The path from finite to infinite volume: Hadronic observables from lattice QCD
conference, May 2019

Finite-volume correction on the hadronic vacuum polarization contribution to the muon $g - 2$ in lattice QCD
journal, September 2018

Lattice QCD and Three-Particle Decays of Resonances
journal, October 2019