Two-Loop Analysis of the Pion Mass Dependence of the $\rho$ Meson - INSPIRE

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Two-Loop Analysis of the Pion Mass Dependence of the $\rho$ Meson

Malwin Niehus
(
- Bonn U., HISKP and
- U. Bonn, Phys. Inst., BCTP
)
,
Martin Hoferichter
(
- U. Bern, AEC and
- Washington U., Seattle
)
,
Bastian Kubis
(
- Bonn U., HISKP and
- U. Bonn, Phys. Inst., BCTP
)
,
Jacobo Ruiz de Elvira
(
- U. Bern, AEC
)

Sep 9, 2020

7 pages

Published in:

Phys.Rev.Lett. 126 (2021) 10, 102002

Published: Mar 13, 2021

e-Print:

2009.04479 [hep-ph]

DOI:

10.1103/PhysRevLett.126.102002

Report number:

INT-20-034

View in:

ADS Abstract Service

reference search41 citations

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Abstract: (APS)

Analyzing the pion mass dependence of ππ scattering phase shifts beyond the low-energy region requires the unitarization of the amplitudes from chiral perturbation theory. In the two-flavor theory, unitarization via the inverse-amplitude method (IAM) can be justified from dispersion relations, which is therefore expected to provide reliable predictions for the pion mass dependence of results from lattice QCD calculations. In this work, we provide compact analytic expression for the two-loop partial-wave amplitudes for J=0, 1, 2 required for the IAM at subleading order. To analyze the pion mass dependence of recent lattice QCD results for the P wave, we develop a fit strategy that for the first time allows us to perform stable two-loop IAM fits and assess the chiral convergence of the IAM approach. While the comparison of subsequent orders suggests a breakdown scale not much below the ρ mass, a detailed understanding of the systematic uncertainties of lattice QCD data is critical to obtain acceptable fits, especially at larger pion masses.

Note:

20 pages, 5 figures; version published in PRL: Appendix E.1 and Bayesian information criterion added; Mathematica notebook with two-loop expressions included as supplementary material

Elementary Particles and Fields
rho(770)
pi: mass
perturbation theory: chiral
quantum chromodynamics
lattice field theory
unitarity
dispersion relation
partial wave
phase shift

References(91)

Figures(0)

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