Lattice determination of I=0 and 2 pi pi scattering phase shifts with a physical pion mass

Blum, T. and Boyle, P. A. and Bruno, M. and Christ, N. H. and Hoying, D. and Kelly, C. and Lehner, Christoph and Mawhinney, R. D. and Meyer, A. S. and Murphy, D. J. and Sachrajda, C. T. and Soni, A. and Wang, T. (2021) Lattice determination of I=0 and 2 pi pi scattering phase shifts with a physical pion mass. PHYSICAL REVIEW D, 104 (11): 114506. ISSN 2470-0010, 2470-0029

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Abstract

Phase shifts for s-wave MM scattering in both the I = 0 and I = 2 channels are determined from a lattice QCD calculation performed on 741 gauge configurations obeying G-parity boundary conditions with a physical pion mass and lattice size of 32(3) x 64. These results support our recent 2021 study of direct CP violation in K -> pi pi decay, improving our earlier 2015 calculation. The phase shifts are determined for both stationary and moving MM systems, at three (I = 0) and four (I = 2) different total momenta. We implement several pi pi interpolating operators including a scalar bilinear "sigma" operator and paired single-pion bilinear operators with the constituent pions carrying various relative momenta. Several techniques, including correlated fitting and a bootstrap determination of p-values have been used to refine the results and a comparison with the generalized eigenvalue problem method is given. A detailed systematic error analysis is performed which allows phase shift results to be presented at a fixed energy.

Item Type: Article
Uncontrolled Keywords: QUANTUM-FIELD THEORIES; EQUATION; MATRIX; STATES
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 13 Sep 2022 08:06
Last Modified: 13 Sep 2022 08:06
URI: https://pred.uni-regensburg.de/id/eprint/47911

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