| Article | |
| Report number | arXiv:2103.15131 ; CERN-TH-2021-039 |
| Title | Lattice determination of $I= 0$ and 2 $\pi\pi$ scattering phase shifts with a physical pion mass |
| Related title | Lattice determination of I=0 and 2 ππ scattering phase shifts with a physical pion mass |
| Author(s) |
Blum, T. (Connecticut U. ; RIKEN BNL) ; Boyle, P.A. (Brookhaven Natl. Lab.) ; Bruno, M. (CERN) ; Christ, N.H. (Columbia U.) ; Hoying, D. (Michigan State U.) ; Kelly, C. (Brookhaven Natl. Lab. ; Columbia U.) ; Lehner, C. (Brookhaven Natl. Lab. ; Regensburg U.) ; Mawhinney, R.D. (Columbia U.) ; Meyer, A.S. (Brookhaven Natl. Lab.) ; Murphy, D.J. (Columbia U.) ; Sachrajda, C.T. (Southampton U.) ; Soni, A. (Brookhaven Natl. Lab.) ; Wang, T. (Columbia U.) |
| Publication | 2021-12-01 |
| Imprint | 2021-03-28 |
| Number of pages | 88 |
| Note | v3: Add a subsection "Higher partial wave correction", and correct the unit of scattering length. 88 pages and 14 figures v2: 1). Add reference 29 as an example of pipi scattering calculation above 4mpi threshold. 2). Modify the wording on page 3 for the footage. 3). Correct the σ operator on page 17 |
| In: | Phys. Rev. D 104 (2021) 114506 |
| DOI | 10.1103/PhysRevD.104.114506 (publication) |
| Subject category | nucl-th ; Nuclear Physics - Theory ; hep-ph ; Particle Physics - Phenomenology ; hep-lat ; Particle Physics - Lattice |
| Abstract | Phase shifts for $s$-wave $\pi\pi$ 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 $32^3\times 64$. These results support our recent study of direct CP violation in $K\to\pi\pi$ decay \cite{Abbott:2020hxn}, improving our earlier 2015 calculation \cite{Bai:2015nea}. The phase shifts are determined for both stationary and moving $\pi\pi$ 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 (GEVP) method is given. A detailed systematic error analysis is performed which allows phase shift results to be presented at a fixed energy. |
| Copyright/License | preprint: (License: arXiv nonexclusive-distrib 1.0) publication: © 2021-2024 authors (License: CC BY 4.0) |
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Δημιουργία εγγραφής 2021-03-31, τελευταία τροποποίηση 2024-08-17