P -wave ππ scattering and the ρ resonance from lattice QCD

Constantia Alexandrou, Luka Leskovec, Stefan Meinel, John Negele, Srijit Paul, Marcus Petschlies, Andrew Pochinsky, Gumaro Rendon, Sergey Syritsyn

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

We calculate the parameters describing elastic I=1, P-wave ππ scattering using lattice QCD with 2+1 flavors of clover fermions. Our calculation is performed with a pion mass of mπ≈320 MeV and a lattice size of L≈3.6 fm. We construct the two-point correlation matrices with both quark-antiquark and two-hadron interpolating fields using a combination of smeared forward, sequential and stochastic propagators. The spectra in all relevant irreducible representations for total momenta |P→|≤32πL are extracted with two alternative methods: a variational analysis as well as multiexponential matrix fits. We perform an analysis using Lüscher's formalism for the energies below the inelastic thresholds, and investigate several phase shift models, including possible nonresonant contributions. We find that our data are well described by the minimal Breit-Wigner form, with no statistically significant nonresonant component. In determining the ρ resonance mass and coupling we compare two different approaches: fitting the individually extracted phase shifts versus fitting the t-matrix model directly to the energy spectrum. We find that both methods give consistent results, and at a pion mass of amπ=0.18295(36)stat obtain gρππ=5.69(13)stat(16)sys, amρ=0.4609(16)stat(14)sys, and amρ/amN=0.7476(38)stat(23)sys, where the first uncertainty is statistical and the second is the systematic uncertainty due to the choice of fit ranges.

Original languageEnglish (US)
Article number034524
JournalPhysical Review D
Volume96
Issue number3
DOIs
StatePublished - Aug 1 2017

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wave scattering
P waves
quantum chromodynamics
pions
phase shift
matrices
energy spectra
fermions
quarks
formalism
momentum
thresholds
propagation
energy

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Alexandrou, C., Leskovec, L., Meinel, S., Negele, J., Paul, S., Petschlies, M., ... Syritsyn, S. (2017). P -wave ππ scattering and the ρ resonance from lattice QCD. Physical Review D, 96(3), [034524]. https://doi.org/10.1103/PhysRevD.96.034525

P -wave ππ scattering and the ρ resonance from lattice QCD. / Alexandrou, Constantia; Leskovec, Luka; Meinel, Stefan; Negele, John; Paul, Srijit; Petschlies, Marcus; Pochinsky, Andrew; Rendon, Gumaro; Syritsyn, Sergey.

In: Physical Review D, Vol. 96, No. 3, 034524, 01.08.2017.

Research output: Contribution to journalArticle

Alexandrou, C, Leskovec, L, Meinel, S, Negele, J, Paul, S, Petschlies, M, Pochinsky, A, Rendon, G & Syritsyn, S 2017, 'P -wave ππ scattering and the ρ resonance from lattice QCD', Physical Review D, vol. 96, no. 3, 034524. https://doi.org/10.1103/PhysRevD.96.034525
Alexandrou C, Leskovec L, Meinel S, Negele J, Paul S, Petschlies M et al. P -wave ππ scattering and the ρ resonance from lattice QCD. Physical Review D. 2017 Aug 1;96(3). 034524. https://doi.org/10.1103/PhysRevD.96.034525
Alexandrou, Constantia ; Leskovec, Luka ; Meinel, Stefan ; Negele, John ; Paul, Srijit ; Petschlies, Marcus ; Pochinsky, Andrew ; Rendon, Gumaro ; Syritsyn, Sergey. / P -wave ππ scattering and the ρ resonance from lattice QCD. In: Physical Review D. 2017 ; Vol. 96, No. 3.
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AB - We calculate the parameters describing elastic I=1, P-wave ππ scattering using lattice QCD with 2+1 flavors of clover fermions. Our calculation is performed with a pion mass of mπ≈320 MeV and a lattice size of L≈3.6 fm. We construct the two-point correlation matrices with both quark-antiquark and two-hadron interpolating fields using a combination of smeared forward, sequential and stochastic propagators. The spectra in all relevant irreducible representations for total momenta |P→|≤32πL are extracted with two alternative methods: a variational analysis as well as multiexponential matrix fits. We perform an analysis using Lüscher's formalism for the energies below the inelastic thresholds, and investigate several phase shift models, including possible nonresonant contributions. We find that our data are well described by the minimal Breit-Wigner form, with no statistically significant nonresonant component. In determining the ρ resonance mass and coupling we compare two different approaches: fitting the individually extracted phase shifts versus fitting the t-matrix model directly to the energy spectrum. We find that both methods give consistent results, and at a pion mass of amπ=0.18295(36)stat obtain gρππ=5.69(13)stat(16)sys, amρ=0.4609(16)stat(14)sys, and amρ/amN=0.7476(38)stat(23)sys, where the first uncertainty is statistical and the second is the systematic uncertainty due to the choice of fit ranges.

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