Two-flavor simulations of ρ(770) and the role of the KK¯ channel

Hu, B.; Molina, R.; Döring, M.; Alexandru, A.

doi:10.1103/PhysRevLett.117.122001

Title: Two-flavor simulations of $ρ (770)$ and the role of the $K \bar{K}$ channel

Abstract

Here, the ρ(770) meson is the most extensively studied resonance in lattice QCD simulations in two (N_f = 2) and three (N_f = 2 + 1) flavor formulations. We analyze N_f = 2 lattice scattering data using unitarized chiral perturbation theory, allowing not only for the extrapolation in mass but also in flavor, N_f = 2 → N_f = 2 + 1. The flavor extrapolation requires information from a global fit to ππ and πK phase shifts from experiment. While the chiral extrapolation of N_f = 2 lattice data leads to masses of the ρ(770) meson far below the experimental one, we find that the missing KK¯ channel is able to explain this discrepancy.

Authors:

Hu, B. ^[1]; Molina, R. ^[1]; Döring, M. ^[2]; Alexandru, A. ^[1]

The George Washington Univ., Washington, D.C. (United States)
The George Washington Univ., Washington, D.C. (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Publication Date:: Thu Sep 15 00:00:00 EDT 2016

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:: 1325513

Alternate Identifier(s):: OSTI ID: 1324860

Report Number(s):: JLAB-THY-16-2316; DOE/OR/23177-3907; arXiv:1605.04823
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US1700148

Grant/Contract Number:: PHY1452055; PHY1151648; 1415459; AC05-06OR23177; FG02-95ER40907

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 117; Journal Issue: 12; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Hu, B., Molina, R., Döring, M., and Alexandru, A. Two-flavor simulations of ρ(770) and the role of the KK¯ channel.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevLett.117.122001.

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                    Hu, B., Molina, R., Döring, M., & Alexandru, A. Two-flavor simulations of ρ(770) and the role of the KK¯ channel.  United States.  https://doi.org/10.1103/PhysRevLett.117.122001

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                    Hu, B., Molina, R., Döring, M., and Alexandru, A. Thu .  
"Two-flavor simulations of ρ(770) and the role of the KK¯ channel".  United States.  https://doi.org/10.1103/PhysRevLett.117.122001.  https://www.osti.gov/servlets/purl/1325513.

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@article{osti_1325513,

  title        = {Two-flavor simulations of ρ(770) and the role of the KK¯ channel},

  author       = {Hu, B. and Molina, R. and Döring, M. and Alexandru, A.},

  abstractNote = {Here, the ρ(770) meson is the most extensively studied resonance in lattice QCD simulations in two (Nf = 2) and three (Nf = 2 + 1) flavor formulations. We analyze Nf = 2 lattice scattering data using unitarized chiral perturbation theory, allowing not only for the extrapolation in mass but also in flavor, Nf = 2 → Nf = 2 + 1. The flavor extrapolation requires information from a global fit to ππ and πK phase shifts from experiment. While the chiral extrapolation of Nf = 2 lattice data leads to masses of the ρ(770) meson far below the experimental one, we find that the missing KK¯ channel is able to explain this discrepancy.},

  doi          = {10.1103/PhysRevLett.117.122001},

  journal      = {Physical Review Letters},

  number       = 12,

  volume       = 117,

  place        = {United States},

  year         = {Thu Sep 15 00:00:00 EDT 2016},

  month        = {Thu Sep 15 00:00:00 EDT 2016}

}

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Title: Two-flavor simulations of ρ(770) and the role of the K K ¯ channel

Abstract

Citation Formats

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

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

A method to measure the antikaon–nucleon scattering length in lattice QCD journal, November 2009

Scalar mesons in a finite volume journal, January 2011

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

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

Scattering phase shifts for two particles of different mass and nonzero total momentum in lattice QCD journal, June 2012

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

Scattering phases for meson and baryon resonances on general moving-frame lattices journal, November 2012

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

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

An a 0 resonance in strongly coupled π η , K K ¯ scattering from lattice QCD journal, May 2016

Axial resonances a 1(1260), b 1(1235) and their decays from the lattice journal, April 2014

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

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

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

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

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

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

Rho resonance parameters from lattice QCD journal, August 2016

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

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

Erratum: Energy dependence of the ρ resonance in π π elastic scattering from lattice QCD [Phys. Rev. D 87 , 034505 (2013)] journal, November 2014

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

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

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

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

Resonances from meson-meson scattering in U ( 3 ) χ PT journal, August 2011

Chiral dynamics in form factors, spectral-function sum rules, meson-meson scattering and semilocal duality journal, September 2012

Chiral behavior of vector meson self-energies journal, December 2013

Infrared regularization for spin-1 fields journal, March 2005

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

Finite-volume Hamiltonian method for coupled-channels interactions in lattice QCD journal, November 2014

Connecting physical resonant amplitudes and lattice QCD journal, June 2016

Chiral and continuum extrapolation of partially-quenched lattice results journal, November 2005

Unified chiral analysis of the vector meson spectrum from lattice QCD journal, May 2006

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

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

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

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

Chiral dynamics and S-wave contributions in semileptonic B decays journal, October 2013

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

Review of Particle Physics journal, August 2014

Photocouplings at the pole from pion photoproduction journal, June 2014

Erratum to: Photocouplings at the pole from pion photoproduction journal, May 2015

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

Dispersive analysis of ω→3π and ϕ→3π decays journal, May 2012

A new analysis of $\pi K$ scattering from Roy and Steiner type equations journal, March 2004

Pion form factor phase, ππ elasticity and new e+e− data journal, February 2004

Pion-pion scattering at low energy journal, December 1997

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

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Title: Two-flavor simulations of $ρ (770)$ and the role of the $K \bar{K}$ channel

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

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

A method to measure the antikaon–nucleon scattering length in lattice QCD
journal, November 2009

Scalar mesons in a finite volume
journal, January 2011

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

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

Scattering phase shifts for two particles of different mass and nonzero total momentum in lattice QCD
journal, June 2012

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

Scattering phases for meson and baryon resonances on general moving-frame lattices
journal, November 2012

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

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

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

Axial resonances a 1(1260), b 1(1235) and their decays from the lattice
journal, April 2014

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

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

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

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

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

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

Rho resonance parameters from lattice QCD
journal, August 2016

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

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

Erratum: Energy dependence of the $ρ$ resonance in $π π$ elastic scattering from lattice QCD [Phys. Rev. D 87 , 034505 (2013)]
journal, November 2014

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

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

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

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

Resonances from meson-meson scattering in $U (3)$ $χ PT$
journal, August 2011

Chiral dynamics in form factors, spectral-function sum rules, meson-meson scattering and semilocal duality
journal, September 2012

Chiral behavior of vector meson self-energies
journal, December 2013

Infrared regularization for spin-1 fields
journal, March 2005

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

Finite-volume Hamiltonian method for coupled-channels interactions in lattice QCD
journal, November 2014

Connecting physical resonant amplitudes and lattice QCD
journal, June 2016

Chiral and continuum extrapolation of partially-quenched lattice results
journal, November 2005

Unified chiral analysis of the vector meson spectrum from lattice QCD
journal, May 2006

$π π$ 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

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

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

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

Chiral dynamics and S-wave contributions in semileptonic B decays
journal, October 2013

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

Review of Particle Physics
journal, August 2014

Photocouplings at the pole from pion photoproduction
journal, June 2014

Erratum to: Photocouplings at the pole from pion photoproduction
journal, May 2015

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

Dispersive analysis of ω→3π and ϕ→3π decays
journal, May 2012

A new analysis of $\pi K$ scattering from Roy and Steiner type equations
journal, March 2004

Pion form factor phase, ππ elasticity and new e+e− data
journal, February 2004

Pion-pion scattering at low energy
journal, December 1997

Erratum
journal, April 1998

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

Status of the $${\mathbf {\Lambda (1405)}}$$ Λ ( 1405 )
journal, April 2018

Chiral study of the $a_{0} (980)$ resonance and $π η$ scattering phase shifts in light of a recent lattice simulation
journal, March 2017

Three-body unitarity in the finite volume
journal, December 2017

What is the right formalism to search for resonances?
journal, March 2018

Three-body Unitarity in the Finite Volume
text, January 2017

Consistency checks for two-body finite-volume matrix elements: I. Conserved currents and bound states
text, January 2019