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Title: Low energy constants of SU(2) partially quenched chiral perturbation theory from Nf=2+1 domain wall QCD

Here, we have performed fits of the pseudoscalar masses and decay constants, from a variety of the RBC-UKQCD Collaboration’s domain wall fermion ensembles, to SU(2) partially quenched chiral perturbation theory at next-to-leading order (NLO) and next-to-next-to-leading order (NNLO). We report values for 9 NLO and 8 linearly independent combinations of NNLO partially quenched low-energy constants, which we compare to other lattice and phenomenological determinations. We discuss the size of successive terms in the chiral expansion and use our large set of low-energy constants to make predictions for mass splittings due to QCD isospin-breaking effects and the S-wave ππ scattering lengths. Lastly, we conclude that, for the range of pseudoscalar masses explored in this work, 115 MeV≲mPS≲430 MeV, the NNLO SU(2) expansion is quite robust and can fit lattice data with percent-scale accuracy.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ;  [5] ;  [6] ;  [2] ;  [2] ;  [2] ;  [7] ;  [5] ;  [5]
  1. Univ. of Edinburgh, Scotland (United Kingdom). School of Physics & Astronomy
  2. Columbia Univ., New York, NY (United States). Dept. of Physics
  3. Plymouth Univ., Plymouth (United Kingdom). Centre for Mathematical Sciences
  4. Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Physics
  5. Univ. of Southampton (United Kingdom). School of Physics and Astronomy
  6. Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
  7. High Energy Accelerator Research Organization (KEK), Tsukuba (Japan). Theory Center; Graduate Univ. for Advanced Studies (SOKENDAI), Hayama, Kanagawa (Japan); Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
Publication Date:
OSTI Identifier:
1336190
Report Number(s):
BNL-112664-2016-JA
Journal ID: ISSN 2470-0010; PRVDAQ; R&D Project: PO-3
Grant/Contract Number:
SC0012704; SC0011941; AC- 02-98CH10886; RPG-2014-118; 279757; ST/L000296/1; ST/M006530/1; ST/L000458/1; ST/K005790/1; AC-02-98CH10886(BNL)
Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 93; Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Research Org:
Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); European Research Council (ERC)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Riken BNL Research Center