Extraction of isoscalar π π phase shifts from lattice QCD

Guo, D.; Alexandru, A.; Molina, R.; Mai, M.; Döring, M.

doi:10.1103/PhysRevD.98.014507

Title: Extraction of isoscalar $π π$ phase shifts from lattice QCD

Abstract

Here, we conduct a two-flavor (N_f = 2) lattice QCD calculation of the elastic phase shifts for pion-pion scattering in the scalar, isoscalar channel (the σ-meson). The calculation is performed for two quark masses corresponding to pion masses of 315 and 227 MeV. The σ-meson parameters are extracted using various parametrizations of the scattering amplitude. The results obtained from a chiral unitary parametrization are extrapolated to the physical point and read M_σ = (440⁺¹⁰_–16(50) – i240(20)(25)) MeV, where the uncertainties in the parentheses denote the stochastic and systematic ones. The behavior of the σ-meson parameters with increasing pion mass is discussed as well.

Authors:: Guo, D.; Alexandru, A.; Molina, R.; Mai, M.; Döring, M.

Publication Date:: Thu Jul 12 00:00:00 EDT 2018

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1460031

Alternate Identifier(s):: OSTI ID: 1460363

Report Number(s):: JLAB-THY-18-2662; DOE/OR/23177-4367; arXiv:1803.02897
Journal ID: ISSN 2470-0010; PRVDAQ; 014507

Grant/Contract Number:: FG02-95ER40907; AC05-06OR23177; PHY-1151648; PHY-1452055

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 98 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

Citation Formats


                    Guo, D., Alexandru, A., Molina, R., Mai, M., and Döring, M. Extraction of isoscalar π π phase shifts from lattice QCD.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.98.014507.

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                    Guo, D., Alexandru, A., Molina, R., Mai, M., & Döring, M. Extraction of isoscalar π π phase shifts from lattice QCD.  United States.  https://doi.org/10.1103/PhysRevD.98.014507

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                    Guo, D., Alexandru, A., Molina, R., Mai, M., and Döring, M. Thu .  
"Extraction of isoscalar π π phase shifts from lattice QCD".  United States.  https://doi.org/10.1103/PhysRevD.98.014507.

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@article{osti_1460031,

  title        = {Extraction of isoscalar π π phase shifts from lattice QCD},

  author       = {Guo, D. and Alexandru, A. and Molina, R. and Mai, M. and Döring, M.},

  abstractNote = {Here, we conduct a two-flavor (Nf = 2) lattice QCD calculation of the elastic phase shifts for pion-pion scattering in the scalar, isoscalar channel (the σ-meson). The calculation is performed for two quark masses corresponding to pion masses of 315 and 227 MeV. The σ-meson parameters are extracted using various parametrizations of the scattering amplitude. The results obtained from a chiral unitary parametrization are extrapolated to the physical point and read Mσ = (440+10–16(50) – i240(20)(25)) MeV, where the uncertainties in the parentheses denote the stochastic and systematic ones. The behavior of the σ-meson parameters with increasing pion mass is discussed as well.},

  doi          = {10.1103/PhysRevD.98.014507},

  journal      = {Physical Review D},

  number       = 1,

  volume       = 98,

  place        = {United States},

  year         = {Thu Jul 12 00:00:00 EDT 2018},

  month        = {Thu Jul 12 00:00:00 EDT 2018}

}

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Works referencing / citing this record:

Hadrons and nuclei
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Title: Extraction of isoscalar π π phase shifts from lattice QCD

Abstract

Citation Formats

Connecting physical resonant amplitudes and lattice QCD journal, June 2016

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

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

Review of Particle Physics journal, October 2016

Multi-mass solvers for lattice QCD on GPUs journal, February 2012

Improved stochastic estimation of quark propagation with Laplacian Heaviside smearing in lattice QCD journal, June 2011

Strange and nonstrange quark mass dependence of elastic light resonances from SU(3) unitarized chiral perturbation theory to one loop journal, March 2010

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

Insight into the scalar mesons from a lattice calculation journal, July 2000

Scattering phase-shift formulas for mesons and baryons in elongated boxes journal, September 2017

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

P -wave π π scattering and the ρ resonance from lattice QCD journal, August 2017

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

Chiral symmetry constraints on resonant amplitudes journal, March 2018

Chiral extrapolations of the ρ ( 770 ) meson in N f = 2 + 1 lattice QCD simulations journal, August 2017

Novel quark-field creation operator construction for hadronic physics in lattice QCD journal, September 2009

High-precision scale setting in lattice QCD journal, September 2012

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

High statistics study of the reaction π−p→π−π+n: Apparatus, method of analysis, and general features of results at 17 GeV/c journal, June 1974

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

Lattice QCD study of the s -wave π π scattering lengths in the I = 0 and 2 channels journal, April 2013

Chiral perturbation theory to one loop journal, November 1984

How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation journal, July 1990

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

Experimental status of the π π isoscalar S wave at low energy: f 0 ( 600 ) pole and scattering length journal, October 2007

Isospin-0 π π s-wave scattering length from twisted mass lattice QCD journal, September 2017

Finding the sigma pole by analytic extrapolation of π π scattering data journal, June 2008

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

Precise tests of low energy QCD from $\mbox {$\mathrm {K}_{\mathrm {e}4}$}$ decay properties journal, November 2010

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

Angular momentum on the lattice: The case of nonzero linear momentum journal, January 2006

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

Two particle states in an asymmetric box and the elastic scattering phases journal, July 2004

I = 1 and I = 2 π – π scattering phase shifts from N f = 2 + 1 lattice QCD journal, September 2016

Coupled channel analysis of the ρ meson decay in lattice QCD journal, September 2011

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

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

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

On the generalized eigenvalue method for energies and matrix elements in lattice field theory journal, April 2009

ππ Phase-shift analysis from 600 to 1900 MeV journal, November 1973

Lattice study of light scalar tetraquarks with I = 0 , 2 , 1 / 2 , 3 / 2 : Are σ and κ tetraquarks? journal, November 2010

Rho resonance parameters from lattice QCD journal, August 2016

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

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

Phase-shift analysis of π+π− scattering between 1.0 and 1.8 GeV based on fixed momentum transfer analyticity (II) journal, October 1977

Properties and uses of the Wilson flow in lattice QCD journal, August 2010

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Title: Extraction of isoscalar $π π$ phase shifts from lattice QCD

Connecting physical resonant amplitudes and lattice QCD
journal, June 2016

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

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

Review of Particle Physics
journal, October 2016

Multi-mass solvers for lattice QCD on GPUs
journal, February 2012

Improved stochastic estimation of quark propagation with Laplacian Heaviside smearing in lattice QCD
journal, June 2011

Strange and nonstrange quark mass dependence of elastic light resonances from SU(3) unitarized chiral perturbation theory to one loop
journal, March 2010

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

Insight into the scalar mesons from a lattice calculation
journal, July 2000

Scattering phase-shift formulas for mesons and baryons in elongated boxes
journal, September 2017

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

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journal, August 2017

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journal, September 1995

Chiral symmetry constraints on resonant amplitudes
journal, March 2018

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journal, August 2017

Novel quark-field creation operator construction for hadronic physics in lattice QCD
journal, September 2009

High-precision scale setting in lattice QCD
journal, September 2012

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

High statistics study of the reaction π−p→π−π+n: Apparatus, method of analysis, and general features of results at 17 GeV/c
journal, June 1974

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

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journal, April 2013

Chiral perturbation theory to one loop
journal, November 1984

How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation
journal, July 1990

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

Experimental status of the $π π$ isoscalar $S$ wave at low energy: $f_{0} (600)$ pole and scattering length
journal, October 2007

Isospin-0 $π π$ s-wave scattering length from twisted mass lattice QCD
journal, September 2017

Finding the sigma pole by analytic extrapolation of $π π$ scattering data
journal, June 2008

$π π$ 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

Precise tests of low energy QCD from $\mbox {$\mathrm {K}_{\mathrm {e}4}$}$ decay properties
journal, November 2010

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

Angular momentum on the lattice: The case of nonzero linear momentum
journal, January 2006

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

Two particle states in an asymmetric box and the elastic scattering phases
journal, July 2004

I = 1 and I = 2 π – π scattering phase shifts from N f = 2 + 1 lattice QCD
journal, September 2016

Coupled channel analysis of the $ρ$ meson decay in lattice QCD
journal, September 2011

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

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

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

On the generalized eigenvalue method for energies and matrix elements in lattice field theory
journal, April 2009

ππ Phase-shift analysis from 600 to 1900 MeV
journal, November 1973

Lattice study of light scalar tetraquarks with $I = 0, 2, 1 / 2, 3 / 2$ : Are $σ$ and $κ$ tetraquarks?
journal, November 2010

Rho resonance parameters from lattice QCD
journal, August 2016

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

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

Phase-shift analysis of π+π− scattering between 1.0 and 1.8 GeV based on fixed momentum transfer analyticity (II)
journal, October 1977

Properties and uses of the Wilson flow in lattice QCD
journal, August 2010

Two-Flavor Simulations of $ρ (770)$ and the Role of the $K \bar{K}$ Channel
journal, September 2016

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

Hadrons and nuclei
journal, November 2019