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Title: Low energy constants of S U ( 2 ) partially quenched chiral perturbation theory from N f = 2 + 1 domain wall QCD

Abstract

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:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); European Research Council (ERC)
OSTI Identifier:
1336190
Alternate Identifier(s):
OSTI ID: 1242596
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)
Resource Type:
Journal Article: 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)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Riken BNL Research Center

Citation Formats

Boyle, P. A., Christ, N. H., Garron, N., Jung, C., Jüttner, A., Kelly, C., Mawhinney, R. D., McGlynn, G., Murphy, D. J., Ohta, S., Portelli, A., and Sachrajda, C. T. Low energy constants of SU(2) partially quenched chiral perturbation theory from Nf=2+1 domain wall QCD. United States: N. p., 2016. Web. doi:10.1103/PhysRevD.93.054502.
Boyle, P. A., Christ, N. H., Garron, N., Jung, C., Jüttner, A., Kelly, C., Mawhinney, R. D., McGlynn, G., Murphy, D. J., Ohta, S., Portelli, A., & Sachrajda, C. T. Low energy constants of SU(2) partially quenched chiral perturbation theory from Nf=2+1 domain wall QCD. United States. https://doi.org/10.1103/PhysRevD.93.054502
Boyle, P. A., Christ, N. H., Garron, N., Jung, C., Jüttner, A., Kelly, C., Mawhinney, R. D., McGlynn, G., Murphy, D. J., Ohta, S., Portelli, A., and Sachrajda, C. T. Wed . "Low energy constants of SU(2) partially quenched chiral perturbation theory from Nf=2+1 domain wall QCD". United States. https://doi.org/10.1103/PhysRevD.93.054502. https://www.osti.gov/servlets/purl/1336190.
@article{osti_1336190,
title = {Low energy constants of SU(2) partially quenched chiral perturbation theory from Nf=2+1 domain wall QCD},
author = {Boyle, P. A. and Christ, N. H. and Garron, N. and Jung, C. and Jüttner, A. and Kelly, C. and Mawhinney, R. D. and McGlynn, G. and Murphy, D. J. and Ohta, S. and Portelli, A. and Sachrajda, C. T.},
abstractNote = {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.},
doi = {10.1103/PhysRevD.93.054502},
url = {https://www.osti.gov/biblio/1336190}, journal = {Physical Review D},
issn = {2470-0010},
number = 5,
volume = 93,
place = {United States},
year = {2016},
month = {3}
}

Journal Article:

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Cited by: 3 works
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Continuum limit physics from 2 + 1 flavor domain wall QCD
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Domain wall QCD with near-physical pions
journal, May 2013


SU(2) chiral perturbation theory low-energy constants from 2 + 1 flavor staggered lattice simulations
journal, July 2013


Lattice QCD at the physical point meets S U ( 2 ) chiral perturbation theory
journal, December 2014


The pion vector form factor from lattice QCD and NNLO chiral perturbation theory
journal, November 2013


Extension of the chiral perturbation theory meson Lagrangian to order p 6
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Pion-pion scattering at low energy
journal, December 1997


Two-point functions at two loops in three flavour chiral perturbation theory
journal, February 2000


Finite volume at two-loops in chiral perturbation theory
journal, January 2015


Partially quenched gauge theories and an application to staggered fermions
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Enhanced chiral logarithms in partially quenched QCD
journal, December 1997


Pseudoscalar meson mass to two loops in three-flavor partially quenched chiral perturbation theory
journal, December 2004


Three-flavor partially quenched chiral perturbation theory at NNLO for meson masses and decay constants
journal, April 2006


Gap domain wall fermions
journal, August 2006


A method for simulating chiral fermions on the lattice
journal, August 1992


Chiral fermions from lattice boundaries
journal, September 1993


Properties and uses of the Wilson flow in lattice QCD
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Nucleon structure from mixed action calculations using 2 + 1 flavors of asqtad sea and domain wall valence fermions
journal, November 2010


A general method for non-perturbative renormalization of lattice operators
journal, July 1995


Nonperturbative renormalization of quark bilinear operators and B K using domain wall fermions
journal, September 2008


Step-scaling with off-shell renormalization
journal, June 2011


Opening the Rome-Southampton window for operator mixing matrices
journal, January 2012


QCD Phase Transition with Chiral Quarks and Physical Quark Masses
journal, August 2014


S U ( 2 ) low-energy constants from mixed-action lattice QCD
journal, November 2012


ππ scattering
journal, June 2001


Electromagnetic corrections in partially quenched chiral perturbation theory
journal, January 2007


Topology of the SU (2) vacuum: a lattice study using improved cooling
journal, August 1997


New class of variance-reduction techniques using lattice symmetries
journal, November 2013


    Works referencing / citing this record:

    Large $$N_c$$Nc scaling of meson masses and decay constants
    journal, October 2019


    Domain wall fermion QCD with the exact one flavor algorithm
    journal, March 2018


    FLAG Review 2019
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    Hadronic τ Decays as New Physics Probes in the LHC Era
    journal, June 2019