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

Low energy constants of SU(2) partially quenched chiral perturbation theory from Nf=2+1 domain wall QCD
Low energy constants of SU(2) partially quenched chiral perturbation theory from Nf=2+1 domain wall QCD
We have performed fits of the pseudoscalar masses and decay constants, from a variety of RBC-UKQCD 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. 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.
1550-7998
1-43
Boyle, P.A.
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Christ, N.H.
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Garron, N.
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Jung, C.
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Juttner, A.
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Kelly, C.
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Mawhinney, R.D.
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McGlynn, G.
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Murphy, D.J.
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Ohta, S.
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Portelli, A.
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Sachrajda, C.T.
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Boyle, P.A.
deafc6c3-3d18-4199-84f5-6f20cd03e311
Christ, N.H.
bca5b070-bac5-4160-b12c-826a608a12b4
Garron, N.
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Jung, C.
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Juttner, A.
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Kelly, C.
c4345b06-5900-4597-9dbc-623dc13e6f8e
Mawhinney, R.D.
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McGlynn, G.
cdffec52-16fe-4753-acef-7bac23d66058
Murphy, D.J.
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Ohta, S.
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Portelli, A.
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Sachrajda, C.T.
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Boyle, P.A., Christ, N.H., Garron, N., Jung, C., Juttner, A., Kelly, C., Mawhinney, R.D., McGlynn, G., Murphy, D.J., Ohta, S., Portelli, A. and Sachrajda, C.T. (2016) Low energy constants of SU(2) partially quenched chiral perturbation theory from Nf=2+1 domain wall QCD. Physical Review D, 93 (5), 1-43. (doi:10.1103/PhysRevD.93.054502).

Record type: Article

Abstract

We have performed fits of the pseudoscalar masses and decay constants, from a variety of RBC-UKQCD 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. 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.

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e-pub ahead of print date: 9 March 2016
Published date: 9 March 2016
Organisations: Theoretical Partical Physics Group

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Local EPrints ID: 393645
URI: https://eprints.soton.ac.uk/id/eprint/393645
ISSN: 1550-7998
PURE UUID: a26cc5a7-3786-45f2-a67d-fb0ce272a988

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Date deposited: 29 Apr 2016 09:15
Last modified: 09 Jul 2018 16:31

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