From QCD to physical resonances

Bolton, Daniel R.; Briceño, Raúl A.; Wilson, David J.

doi:10.1063/1.4949394

Title: From QCD to physical resonances

Abstract

Here in this talk, we present the first chiral extrapolation of a resonant scattering amplitude obtained from lattice QCD. Finite-volume spectra, determined by the Hadron Spectrum Collaboration at m_π = 236 MeV [1], for the isotriplet ππ channel are analyzed using the Lüscher method to determine the infinite-volume scattering amplitude. Unitarized Chiral Perturbation Theory is then used to extrapolate the scattering amplitude to the physical light quark masses. The viability of this procedure is demonstrated by its agreement with the experimentally determined scattering phase shift up to center-of-mass energies of 1.2 GeV. Finally, we analytically continue the amplitude to the complex plane to obtain the ρ-pole at $[755 (2) (1) (_{02}^{20}) - \frac{i}{2} 129 (3) (1) (_{1}^{7})]$

Authors:

Bolton, Daniel R. ^[1]; Briceño, Raúl A. ^[2]; Wilson, David J. ^[3]

Univ. of Colorado, Boulder, CO (United States). Dept. of Physics; Baylor Univ., Waco, TX (United States). Dept. of Physics
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States). Dept. of Physics
Univ. of Cambridge, Cambridge (United Kingdom)

Publication Date:: Wed May 25 00:00:00 EDT 2016

Research Org.:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1567416

Resource Type:: Accepted Manuscript

Journal Name:: AIP Conference Proceedings

Additional Journal Information:: Journal Volume: 1735; Journal ID: ISSN 0094-243X

Publisher:: American Institute of Physics (AIP)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; Spectroscopy

Citation Formats


                    Bolton, Daniel R., Briceño, Raúl A., and Wilson, David J. From QCD to physical resonances.  United States: N. p., 2016. 
Web.  doi:10.1063/1.4949394.

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                    Bolton, Daniel R., Briceño, Raúl A., & Wilson, David J. From QCD to physical resonances.  United States.  https://doi.org/10.1063/1.4949394

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                    Bolton, Daniel R., Briceño, Raúl A., and Wilson, David J. Wed .  
"From QCD to physical resonances".  United States.  https://doi.org/10.1063/1.4949394.  https://www.osti.gov/servlets/purl/1567416.

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@article{osti_1567416,

  title        = {From QCD to physical resonances},

  author       = {Bolton, Daniel R. and Briceño, Raúl A. and Wilson, David J.},

  abstractNote = {Here in this talk, we present the first chiral extrapolation of a resonant scattering amplitude obtained from lattice QCD. Finite-volume spectra, determined by the Hadron Spectrum Collaboration at mπ = 236 MeV [1], for the isotriplet ππ channel are analyzed using the Lüscher method to determine the infinite-volume scattering amplitude. Unitarized Chiral Perturbation Theory is then used to extrapolate the scattering amplitude to the physical light quark masses. The viability of this procedure is demonstrated by its agreement with the experimentally determined scattering phase shift up to center-of-mass energies of 1.2 GeV. Finally, we analytically continue the amplitude to the complex plane to obtain the ρ-pole at [755(2)(1)(0220)-i2129(3)(1)(17)]},

  doi          = {10.1063/1.4949394},

  journal      = {AIP Conference Proceedings},

  number       = ,

  volume       = 1735,

  place        = {United States},

  year         = {Wed May 25 00:00:00 EDT 2016},

  month        = {Wed May 25 00:00:00 EDT 2016}

}

Copy to clipboard

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Title: From QCD to physical resonances

Abstract

Citation Formats

Scalar mesons in a finite volume journal, January 2011

Connecting physical resonant amplitudes and lattice QCD journal, June 2016

Resonance parameters of the rho-meson from asymmetrical lattices journal, January 2013

ππ scattering journal, June 2001

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

Toward the excited isoscalar meson spectrum from lattice QCD journal, November 2013

Moving multichannel systems in a finite volume with application to proton-proton fusion journal, November 2013

Timelike pion form factor in lattice QCD journal, March 2015

Chiral extrapolation of pion-pion scattering phase shifts within standard and unitarized Chiral Perturbation Theory journal, May 2011

Chiral perturbation theory: Expansions in the mass of the strange quark journal, January 1985

ρ and K * resonances on the lattice at nearly physical quark masses and N f = 2 journal, March 2016

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

Pion-pion scattering and the timelike pion form factor from $N_f=2+1$ lattice QCD simulations using the stochastic LapH method conference, July 2016

Relativistic, model-independent, three-particle quantization condition journal, December 2014

Three particles in a finite volume journal, May 2012

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

Three-particle scattering amplitudes from a finite volume formalism journal, May 2013

Nature of the f 0 ( 600 ) Scalar Meson from its N c Dependence at Two Loops in Unitarized Chiral Perturbation Theory journal, December 2006

Resonance parameters of the ρ meson from lattice QCD journal, May 2011

Lattice QCD calculation of the ρ meson decay width journal, November 2007

First results from 2 + 1 dynamical quark flavors on an anisotropic lattice: Light-hadron spectroscopy and setting the strange-quark mass journal, February 2009

Chiral perturbation theory to one loop journal, November 1984

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

Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude journal, December 2015

Meson-meson scattering within one-loop chiral perturbation theory and its unitarization journal, January 2002

π π Partial-Wave Analysis from Reactions π + p → π + π − Δ + + and π + p → K + K − Δ + + at 7.1 GeV/ c journal, March 1973

Volume dependence of the energy spectrum in massive quantum field theories: II. Scattering states journal, June 1986

Nonperturbative Approach to Effective Chiral Lagrangians and Meson Interactions journal, April 1998

Resonance Parameters for the rho-meson from Lattice QCD conference, July 2016

A new expansion for nucleon-nucleon interactions journal, April 1998

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

Quark-Mass Dependence of the ρ and σ Mesons from Dispersion Relations and Chiral Perturbation Theory journal, April 2008

The role of resonances in chiral perturbation theory journal, July 1989

Erratum: Meson-meson interactions in a nonperturbative chiral approach [Phys. Rev. D 59 , 074001 (1999)] journal, May 2007

Elastic ππ scattering to two loops journal, May 1996

Meson-meson interactions in a nonperturbative chiral approach journal, February 1999

Pion Scattering Lengths journal, September 1966

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

Finite volume corrections to the two-particle decay of states with nonzero momentum journal, December 2005

Resonances in coupled π K , η K scattering from lattice QCD journal, March 2015

Scalar mesons moving in a finite volume and the role of partial wave mixing journal, August 2012

Chiral extrapolation of light resonances from one and two-loop unitarized chiral perturbation theory versus lattice results journal, December 2010

Perturbative results for two- and three-particle threshold energies in finite volume journal, January 2016

Erratum: Coupled channel analysis of the ρ meson decay in lattice QCD [Phys. Rev. D 84, 054503 (2011)] journal, March 2014

Two-nucleon systems from effective field theory journal, November 1998

Low energy theorems as precision tests of QCD journal, June 1983

Energy dependence of the ρ resonance in π π elastic scattering from lattice QCD journal, February 2013

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

Inverse amplitude method in chiral perturbation theory journal, September 1997

Hadron structure and spectrum from the lattice conference, January 2016

ρ meson decay in 2 + 1 flavor lattice QCD journal, November 2011

π π interaction in the ρ channel in finite volume journal, January 2013

Excited meson radiative transitions from lattice QCD using variationally optimized operators journal, June 2015

Resonant π + γ → π + π 0 Amplitude from Quantum Chromodynamics journal, December 2015

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

Isoscalar meson spectroscopy from lattice QCD journal, June 2011

Finite volume effects in pion-kaon scattering and reconstruction of the κ(800) resonance journal, January 2012

Unitarized Chiral Perturbation Theory in a finite volume: Scalar meson sector journal, November 2011

ππ phase-shift analysis below the threshold journal, September 1974

Nuclear reactions from lattice QCD journal, January 2015

Chiral extrapolation of the σ and ρ mesons from dispersion relations and Chiral Perturbation Theory conference, January 2008

Pion-pion scattering and the timelike pion form factor from $N_{\mathrm{f}} = 2+1$ lattice QCD simulations using the stochastic LapH method preprint, January 2015

Scalar mesons in a finite volume
journal, January 2011

Connecting physical resonant amplitudes and lattice QCD
journal, June 2016

Resonance parameters of the rho-meson from asymmetrical lattices
journal, January 2013

ππ scattering
journal, June 2001

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

Toward the excited isoscalar meson spectrum from lattice QCD
journal, November 2013

Moving multichannel systems in a finite volume with application to proton-proton fusion
journal, November 2013

Timelike pion form factor in lattice QCD
journal, March 2015

Chiral extrapolation of pion-pion scattering phase shifts within standard and unitarized Chiral Perturbation Theory
journal, May 2011

Chiral perturbation theory: Expansions in the mass of the strange quark
journal, January 1985

$ρ$ and $K^{*}$ resonances on the lattice at nearly physical quark masses and $N_{f} = 2$
journal, March 2016

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

Pion-pion scattering and the timelike pion form factor from $N_f=2+1$ lattice QCD simulations using the stochastic LapH method
conference, July 2016

Relativistic, model-independent, three-particle quantization condition
journal, December 2014

Three particles in a finite volume
journal, May 2012

Coupled $π π$ , $K \bar{K}$ scattering in $P$ -wave and the $ρ$ resonance from lattice QCD
journal, November 2015

Three-particle scattering amplitudes from a finite volume formalism
journal, May 2013

Nature of the $f_{0} (600)$ Scalar Meson from its $N_{c}$ Dependence at Two Loops in Unitarized Chiral Perturbation Theory
journal, December 2006

Resonance parameters of the $ρ$ meson from lattice QCD
journal, May 2011

Lattice QCD calculation of the $ρ$ meson decay width
journal, November 2007

First results from $2 + 1$ dynamical quark flavors on an anisotropic lattice: Light-hadron spectroscopy and setting the strange-quark mass
journal, February 2009

Chiral perturbation theory to one loop
journal, November 1984

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

Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude
journal, December 2015

Meson-meson scattering within one-loop chiral perturbation theory and its unitarization
journal, January 2002

$π π$ Partial-Wave Analysis from Reactions $π^{+} p \to π^{+} π^{-} Δ^{+ +}$ and $π^{+} p \to K^{+} K^{-} Δ^{+ +}$ at 7.1 GeV/ c
journal, March 1973

Volume dependence of the energy spectrum in massive quantum field theories: II. Scattering states
journal, June 1986

Nonperturbative Approach to Effective Chiral Lagrangians and Meson Interactions
journal, April 1998

Resonance Parameters for the rho-meson from Lattice QCD
conference, July 2016

A new expansion for nucleon-nucleon interactions
journal, April 1998

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

Quark-Mass Dependence of the $ρ$ and $σ$ Mesons from Dispersion Relations and Chiral Perturbation Theory
journal, April 2008

The role of resonances in chiral perturbation theory
journal, July 1989

Erratum: Meson-meson interactions in a nonperturbative chiral approach [Phys. Rev. D 59 , 074001 (1999)]
journal, May 2007

Elastic ππ scattering to two loops
journal, May 1996

Meson-meson interactions in a nonperturbative chiral approach
journal, February 1999

Pion Scattering Lengths
journal, September 1966

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

Finite volume corrections to the two-particle decay of states with nonzero momentum
journal, December 2005

Resonances in coupled $π K, η K$ scattering from lattice QCD
journal, March 2015

Scalar mesons moving in a finite volume and the role of partial wave mixing
journal, August 2012

Chiral extrapolation of light resonances from one and two-loop unitarized chiral perturbation theory versus lattice results
journal, December 2010

Perturbative results for two- and three-particle threshold energies in finite volume
journal, January 2016

Erratum: Coupled channel analysis of the $ρ$ meson decay in lattice QCD [Phys. Rev. D 84, 054503 (2011)]
journal, March 2014

Two-nucleon systems from effective field theory
journal, November 1998

Low energy theorems as precision tests of QCD
journal, June 1983

Energy dependence of the $ρ$ resonance in $π π$ elastic scattering from lattice QCD
journal, February 2013

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

Inverse amplitude method in chiral perturbation theory
journal, September 1997

Hadron structure and spectrum from the lattice
conference, January 2016

$ρ$ meson decay in $2 + 1$ flavor lattice QCD
journal, November 2011

$π π$ interaction in the $ρ$ channel in finite volume
journal, January 2013

Excited meson radiative transitions from lattice QCD using variationally optimized operators
journal, June 2015

Resonant $π^{+} γ \to π^{+} π^{0}$ Amplitude from Quantum Chromodynamics
journal, December 2015

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

Isoscalar meson spectroscopy from lattice QCD
journal, June 2011

Finite volume effects in pion-kaon scattering and reconstruction of the κ(800) resonance
journal, January 2012

Unitarized Chiral Perturbation Theory in a finite volume: Scalar meson sector
journal, November 2011

ππ phase-shift analysis below the threshold
journal, September 1974

Nuclear reactions from lattice QCD
journal, January 2015

Chiral extrapolation of the σ and ρ mesons from dispersion relations and Chiral Perturbation Theory
conference, January 2008

Pion-pion scattering and the timelike pion form factor from $N_{\mathrm{f}} = 2+1$ lattice QCD simulations using the stochastic LapH method
preprint, January 2015