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

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.

doi:10.1103/PhysRevD.93.054502

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

Journal Article · Wed Mar 09 00:00:00 EST 2016 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.93.054502· OSTI ID:1336190

Boyle, P. A. ^[1]; Christ, N. H. ^[2]; Garron, N. ^[3]; Jung, C. ^[4]; Jüttner, A. ^[5]; Kelly, C. ^[6]; Mawhinney, R. D. ^[2]; McGlynn, G. ^[2]; Murphy, D. J. ^[2]; Ohta, S. ^[7]; Portelli, A. ^[5]; Sachrajda, C. T. ^[5]

Univ. of Edinburgh, Scotland (United Kingdom). School of Physics & Astronomy
Columbia Univ., New York, NY (United States). Dept. of Physics
Plymouth Univ., Plymouth (United Kingdom). Centre for Mathematical Sciences
Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Physics
Univ. of Southampton (United Kingdom). School of Physics and Astronomy
Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
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

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.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States). RIKEN Research Center

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); European Research Council (ERC)

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)

OSTI ID:: 1336190

Alternate ID(s):: OSTI ID: 1242596

Report Number(s):: BNL-112664-2016-JA; PRVDAQ; R&D Project: PO-3

Journal Information:: Physical Review D, Vol. 93, Issue 5; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 40 works

Citation information provided by
Web of Science

References (84)

Review of Particle Physics Olive, K. A. Chinese Physics C, Vol. 38, Issue 9 https://doi.org/10.1088/1674-1137/38/9/090001	journal	August 2014
Finite volume effects for meson masses and decay constants Colangelo, Gilberto; Dürr, Stephan; Haefeli, Christoph Nuclear Physics B, Vol. 721, Issue 1-3 https://doi.org/10.1016/j.nuclphysb.2005.05.015	journal	August 2005
Critical slowing down and error analysis in lattice QCD simulations Schaefer, Stefan; Sommer, Rainer; Virotta, Francesco Nuclear Physics B, Vol. 845, Issue 1 https://doi.org/10.1016/j.nuclphysb.2010.11.020	journal	April 2011
Chiral perturbation theory: Expansions in the mass of the strange quark Gasser, J.; Leutwyler, H. Nuclear Physics B, Vol. 250, Issue 1-4 https://doi.org/10.1016/0550-3213(85)90492-4	journal	January 1985
Computing and Deflating Eigenvalues While Solving Multiple Right-Hand Side Linear Systems with an Application to Quantum Chromodynamics Stathopoulos, Andreas; Orginos, Konstantinos SIAM Journal on Scientific Computing, Vol. 32, Issue 1 https://doi.org/10.1137/080725532	journal	January 2010
Chiral perturbation theory to one loop Gasser, J.; Leutwyler, H. Annals of Physics, Vol. 158, Issue 1 https://doi.org/10.1016/0003-4916(84)90242-2	journal	November 1984
Finite volume effects for the pion mass at two loops Colangelo, Gilberto; Haefeli, Christoph Nuclear Physics B, Vol. 744, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2006.03.010	journal	June 2006
An Algorithm for Least-Squares Estimation of Nonlinear Parameters Marquardt, Donald W. Journal of the Society for Industrial and Applied Mathematics, Vol. 11, Issue 2 https://doi.org/10.1137/0111030	journal	June 1963
Möbius Fermions: Improved Domain Wall Chiral Fermions Brower, Richard C.; Neff, Hartmut; Orginos, Kostas Nuclear Physics B - Proceedings Supplements, Vol. 140 https://doi.org/10.1016/j.nuclphysbps.2004.11.180	journal	March 2005
Renormalization of Chiral Perturbation Theory to Order p6 Bijnens, J.; Colangelo, G.; Ecker, G. Annals of Physics, Vol. 280, Issue 1 https://doi.org/10.1006/aphy.1999.5982	journal	February 2000
Review of lattice results concerning low-energy particle physics Aoki, S.; Aoki, Y.; Bernard, C. The European Physical Journal C, Vol. 74, Issue 9 https://doi.org/10.1140/epjc/s10052-014-2890-7	journal	September 2014
A method for the solution of certain non-linear problems in least squares Levenberg, Kenneth Quarterly of Applied Mathematics, Vol. 2, Issue 2 https://doi.org/10.1090/qam/10666	journal	January 1944
Effective Field Theory Georgi, H. Annual Review of Nuclear and Particle Science, Vol. 43, Issue 1 https://doi.org/10.1146/annurev.ns.43.120193.001233	journal	December 1993
Renormalization group improved action for SU(3) lattice gauge theory and the string tension Iwasaki, Y.; Yoshié, T. Physics Letters B, Vol. 143, Issue 4-6 https://doi.org/10.1016/0370-2693(84)91500-4	journal	August 1984
Masses and decay constants of pseudoscalar mesons to two loops in two-flavor partially quenched chiral perturbation theory Bijnens, Johan; Lähde, Timo A. Physical Review D, Vol. 72, Issue 7 https://doi.org/10.1103/physrevd.72.074502	journal	October 2005
Three-flavor partially quenched chiral perturbation theory at NNLO for meson masses and decay constants Bijnens, Johan; Danielsson, Niclas; Lähde, Timo A. Physical Review D, Vol. 73, Issue 7 https://doi.org/10.1103/physrevd.73.074509	journal	April 2006
The BAGEL assembler generation library Boyle, Peter A. Computer Physics Communications, Vol. 180, Issue 12 https://doi.org/10.1016/j.cpc.2009.08.010	journal	December 2009
Möbius Fermions Brower, R. C.; Neff, H.; Orginos, K. Nuclear Physics B - Proceedings Supplements, Vol. 153, Issue 1 https://doi.org/10.1016/j.nuclphysbps.2006.01.047	journal	March 2006
Phenomenological Lagrangians Weinberg, Steven Physica A: Statistical Mechanics and its Applications, Vol. 96, Issue 1-2 https://doi.org/10.1016/0378-4371(79)90223-1	journal	April 1979
Chiral perturbation theory beyond one loop Bijnens, Johan Progress in Particle and Nuclear Physics, Vol. 58, Issue 2 https://doi.org/10.1016/j.ppnp.2006.08.002	journal	April 2007
Dynamics of the Standard Model Donoghue, John F.; Golowich, Eugene; Holstein, Barry R. Cambridge University Press https://doi.org/10.1017/CBO9780511524370	book	January 2010
Infrared singularities and massive fields Appelquist, Thomas; Carazzone, J. Physical Review D, Vol. 11, Issue 10 https://doi.org/10.1103/PhysRevD.11.2856	journal	May 1975
Physical results from $2 + 1$ flavor domain wall QCD and SU(2) chiral perturbation theory Allton, C.; Antonio, D. J.; Aoki, Y. Physical Review D, Vol. 78, Issue 11 https://doi.org/10.1103/PhysRevD.78.114509	journal	December 2008
Continuum limit physics from $2 + 1$ flavor domain wall QCD Aoki, Y.; Arthur, R.; Blum, T. Physical Review D, Vol. 83, Issue 7 https://doi.org/10.1103/PhysRevD.83.074508	journal	April 2011
Domain wall QCD with near-physical pions Arthur, R.; Blum, T.; Boyle, P. A. Physical Review D, Vol. 87, Issue 9 https://doi.org/10.1103/PhysRevD.87.094514	journal	May 2013
SU(2) chiral perturbation theory low-energy constants from $2 + 1$ flavor staggered lattice simulations Borsányi, Szabolcs; Dürr, Stephan; Fodor, Zoltán Physical Review D, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevD.88.014513	journal	July 2013
Lattice QCD at the physical point meets $S U (2)$ chiral perturbation theory Dürr, Stephan; Fodor, Zoltán; Hoelbling, Christian Physical Review D, Vol. 90, Issue 11 https://doi.org/10.1103/PhysRevD.90.114504	journal	December 2014
The pion vector form factor from lattice QCD and NNLO chiral perturbation theory Brandt, Bastian B.; Jüttner, Andreas; Wittig, Hartmut Journal of High Energy Physics, Vol. 2013, Issue 11 https://doi.org/10.1007/JHEP11(2013)034	journal	November 2013
Extension of the chiral perturbation theory meson Lagrangian to order $p^{6}$ Fearing, H. W.; Scherer, S. Physical Review D, Vol. 53, Issue 1 https://doi.org/10.1103/PhysRevD.53.315	journal	January 1996
Pion-pion scattering at low energy Bijnens, J.; Colangelo, G.; Ecker, G. Nuclear Physics B, Vol. 508, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)80013-2	journal	December 1997
Two-point functions at two loops in three flavour chiral perturbation theory Amorós, Gabriel; Bijnens, Johan; Talavera, Pere Nuclear Physics B, Vol. 568, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00674-4	journal	February 2000
Finite volume at two-loops in chiral perturbation theory Bijnens, Johan; Rössler, Thomas Journal of High Energy Physics, Vol. 2015, Issue 1 https://doi.org/10.1007/JHEP01(2015)034	journal	January 2015
Partially quenched gauge theories and an application to staggered fermions Bernard, Claude W.; Golterman, Maarten F. L. Physical Review D, Vol. 49, Issue 1 https://doi.org/10.1103/PhysRevD.49.486	journal	January 1994
Enhanced chiral logarithms in partially quenched QCD Sharpe, Stephen R. Physical Review D, Vol. 56, Issue 11 https://doi.org/10.1103/PhysRevD.56.7052	journal	December 1997
Pseudoscalar meson mass to two loops in three-flavor partially quenched chiral perturbation theory Bijnens, Johan; Danielsson, Niclas; Lähde, Timo A. Physical Review D, Vol. 70, Issue 11 https://doi.org/10.1103/PhysRevD.70.111503	journal	December 2004
Decay constants of pseudoscalar mesons to two loops in three-flavor partially quenched chiral perturbation theory Bijnens, Johan; Lähde, Timo A. Physical Review D, Vol. 71, Issue 9 https://doi.org/10.1103/PhysRevD.71.094502	journal	May 2005
Gap domain wall fermions Vranas, Pavlos M. Physical Review D, Vol. 74, Issue 3 https://doi.org/10.1103/PhysRevD.74.034512	journal	August 2006
A method for simulating chiral fermions on the lattice Kaplan, David B. Physics Letters B, Vol. 288, Issue 3-4 https://doi.org/10.1016/0370-2693(92)91112-M	journal	August 1992
Chiral fermions from lattice boundaries Shamir, Yigal Nuclear Physics B, Vol. 406, Issue 1-2 https://doi.org/10.1016/0550-3213(93)90162-I	journal	September 1993
Properties and uses of the Wilson flow in lattice QCD Lüscher, Martin Journal of High Energy Physics, Vol. 2010, Issue 8 https://doi.org/10.1007/JHEP08(2010)071	journal	August 2010
Pion-kaon scattering near the threshold in chiral SU(2) perturbation theory Roessl, A. Nuclear Physics B, Vol. 555, Issue 3 https://doi.org/10.1016/S0550-3213(99)00336-3	journal	August 1999
Nucleon structure from mixed action calculations using $2 + 1$ flavors of asqtad sea and domain wall valence fermions Bratt, J. D.; Edwards, R. G.; Engelhardt, M. Physical Review D, Vol. 82, Issue 9 https://doi.org/10.1103/PhysRevD.82.094502	journal	November 2010
A general method for non-perturbative renormalization of lattice operators Martinelli, G.; Pittori, C.; Sachrajda, C. T. Nuclear Physics B, Vol. 445, Issue 1 https://doi.org/10.1016/0550-3213(95)00126-D	journal	July 1995
Nonperturbative renormalization of quark bilinear operators and $B_{K}$ using domain wall fermions Aoki, Y.; Boyle, P. A.; Christ, N. H. Physical Review D, Vol. 78, Issue 5 https://doi.org/10.1103/PhysRevD.78.054510	journal	September 2008
Step-scaling with off-shell renormalization Arthur, R.; Boyle, P. A. Physical Review D, Vol. 83, Issue 11 https://doi.org/10.1103/PhysRevD.83.114511	journal	June 2011
Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point Sturm, C.; Aoki, Y.; Christ, N. H. Physical Review D, Vol. 80, Issue 1 https://doi.org/10.1103/PhysRevD.80.014501	journal	July 2009
Opening the Rome-Southampton window for operator mixing matrices Arthur, R.; Boyle, P. A.; Garron, N. Physical Review D, Vol. 85, Issue 1 https://doi.org/10.1103/PhysRevD.85.014501	journal	January 2012
QCD Phase Transition with Chiral Quarks and Physical Quark Masses Bhattacharya, Tanmoy; Buchoff, Michael I.; Christ, Norman H. Physical Review Letters, Vol. 113, Issue 8 https://doi.org/10.1103/PhysRevLett.113.082001	journal	August 2014
$S U (2)$ low-energy constants from mixed-action lattice QCD Beane, S. R.; Detmold, W.; Junnarkar, P. M. Physical Review D, Vol. 86, Issue 9 https://doi.org/10.1103/PhysRevD.86.094509	journal	November 2012
ππ scattering Colangelo, G.; Gasser, J.; Leutwyler, H. Nuclear Physics B, Vol. 603, Issue 1-2 https://doi.org/10.1016/S0550-3213(01)00147-X	journal	June 2001
Electromagnetic corrections in partially quenched chiral perturbation theory Bijnens, Johan; Danielsson, Niclas Physical Review D, Vol. 75, Issue 1 https://doi.org/10.1103/PhysRevD.75.014505	journal	January 2007
Topology of the SU (2) vacuum: a lattice study using improved cooling de Forcrand, Philippe; García Pérez, Margarita; Stamatescu, Ion-Olimpiu Nuclear Physics B, Vol. 499, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00275-7	journal	August 1997
New class of variance-reduction techniques using lattice symmetries Blum, Thomas; Izubuchi, Taku; Shintani, Eigo Physical Review D, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevD.88.094503	journal	November 2013
Datasets of seed mucilage traits for Arabidopsis thaliana natural accessions with atypical outer mucilage Cambert, Mireille; Berger, Adeline; Sallé, Christine Scientific Data, Vol. 8, Issue 1 https://doi.org/10.1038/s41597-021-00857-3	journal	March 2021
Review of lattice results concerning low-energy particle physics Aoki, S.; Aoki, Y.; Bečirević, D. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-01363	text	January 2017
Review of Particle Physics Group, Particle Data; Amsler, C.; Doser, M. Elsevier https://doi.org/10.5167/uzh-11249	text	January 2008
Review of lattice results concerning low-energy particle physics Aoki, S.; Aoki, Y.; Becirevic, D. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-01038	text	January 2016
Review of Particle Physics Tanabashi, M.; Hagiwara, K.; Hikasa, K. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2018-03100	text	January 2018
Review of lattice results concerning low-energy particle physics Wenger, Urs; Colangelo, Gilberto EDP Sciences https://doi.org/10.7892/boris.60235	text	January 2014
Review of lattice results concerning low-energy particle physics Colangelo, G.; Dürr, S.; Jüttner, A. The European Physical Journal C, Vol. 71, Issue 7 https://doi.org/10.1140/epjc/s10052-011-1695-1	journal	July 2011
Review of Particle Physics Beringer, J.; Arguin, J.; Barnett, R. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/phppubdb-24149	text	January 2012
Dynamics of the Standard Model, 2nd edition Donoghue, John F.; Golowich, Eugene; Holstein, Barry R. https://doi.org/10.1017/cbo9780511803512	book	June 2014
Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point Sturm, C.; Aoki, Y.; Christ, N. H. arXiv https://doi.org/10.48550/arxiv.0901.2599	text	January 2009
Properties and uses of the Wilson flow in lattice QCD Lüscher, Martin arXiv https://doi.org/10.48550/arxiv.1006.4518	text	January 2010
Critical slowing down and error analysis in lattice QCD simulations Schaefer, Stefan; Sommer, Rainer; Virotta, Francesco arXiv https://doi.org/10.48550/arxiv.1009.5228	text	January 2010
SU(2) chiral perturbation theory low-energy constants from 2+1 flavor staggered lattice simulations Borsanyi, Szabolcs; Durr, Stephan; Fodor, Zoltan arXiv https://doi.org/10.48550/arxiv.1205.0788	text	January 2012
A new class of variance reduction techniques using lattice symmetries Blum, Thomas; Izubuchi, Taku; Shintani, Eigo arXiv https://doi.org/10.48550/arxiv.1208.4349	text	January 2012
Domain Wall QCD with Near-Physical Pions Collaboration, Rbc; Collaboration, Ukqcd; Arthur, R. arXiv https://doi.org/10.48550/arxiv.1208.4412	text	January 2012
Finite Volume at Two-loops in Chiral Perturbation Theory Bijnens, Johan; Rössler, Thomas arXiv https://doi.org/10.48550/arxiv.1411.6384	text	January 2014
Mobius Fermions: Improved Domain Wall Chiral Fermions Brower, Richard C.; Neff, Hartmut; Orginos, Kostas arXiv https://doi.org/10.48550/arxiv.hep-lat/0409118	text	January 2004
Finite volume effects for meson masses and decay constants Colangelo, Gilberto; Durr, Stephan; Haefeli, Christoph arXiv https://doi.org/10.48550/arxiv.hep-lat/0503014	text	January 2005
Masses and Decay Constants of Pseudoscalar Mesons to Two Loops in Two-Flavor Partially Quenched Chiral Perturbation Theory Bijnens, Johan; Lähde, Timo A. arXiv https://doi.org/10.48550/arxiv.hep-lat/0506004	text	January 2005
Moebius Fermions Brower, R. C.; Neff, H.; Orginos, K. arXiv https://doi.org/10.48550/arxiv.hep-lat/0511031	text	January 2005
Three-Flavor Partially Quenched Chiral Perturbation Theory at NNLO for Meson Masses and Decay Constants Bijnens, Johan; Danielsson, Niclas; Lahde, Timo A. arXiv https://doi.org/10.48550/arxiv.hep-lat/0602003	text	January 2006
Finite volume effects for the pion mass at two loops Colangelo, Gilberto; Haefeli, Christoph arXiv https://doi.org/10.48550/arxiv.hep-lat/0602017	text	January 2006
Electromagnetic Corrections in Partially Quenched Chiral Perturbation Theory Bijnens, Johan; Danielsson, Niclas arXiv https://doi.org/10.48550/arxiv.hep-lat/0610127	text	January 2006
Chiral Fermions from Lattice Boundaries Shamir, Yigal arXiv https://doi.org/10.48550/arxiv.hep-lat/9303005	text	January 1993
Partially Quenched Gauge Theories and a Application to Staggered Fermions Bernard, Claude; Golterman, Maarten arXiv https://doi.org/10.48550/arxiv.hep-lat/9306005	text	January 1993
A General Method for Non-Perturbative Renormalization of Lattice Operators Martinelli, G.; Pittori, C.; Sachrajda, C. T. arXiv https://doi.org/10.48550/arxiv.hep-lat/9411010	text	January 1994
Topology of the SU(2) vacuum: a lattice study using improved cooling de Forcrand, Philippe; Perez, Margarita Garcia; Stamatescu, Ion-Olimpiu arXiv https://doi.org/10.48550/arxiv.hep-lat/9701012	text	January 1997
Enhanced chiral logarithms in partially quenched QCD Sharpe, Stephen R. arXiv https://doi.org/10.48550/arxiv.hep-lat/9707018	text	January 1997
Chiral Perturbation Theory Beyond One Loop Bijnens, Johan arXiv https://doi.org/10.48550/arxiv.hep-ph/0604043	text	January 2006
Two-point Functions at Two Loops in Three Flavour Chiral Perturbation Theory Amoros, Gabriel; Bijnens, Johan; Talavera, Pere arXiv https://doi.org/10.48550/arxiv.hep-ph/9907264	text	January 1999
Renormalization of chiral perturbation theory to order p^6 Bijnens, J.; Colangelo, G.; Ecker, G. arXiv https://doi.org/10.48550/arxiv.hep-ph/9907333	text	January 1999

Cited By (7)

Large $$N_c$$Nc scaling of meson masses and decay constants Hernández, P.; Pena, C.; Romero-López, F. The European Physical Journal C, Vol. 79, Issue 10 https://doi.org/10.1140/epjc/s10052-019-7395-y	journal	October 2019
Domain wall fermion QCD with the exact one flavor algorithm Jung, C.; Kelly, C.; Mawhinney, R. D. Physical Review D, Vol. 97, Issue 5 https://doi.org/10.1103/physrevd.97.054503	journal	March 2018
FLAG Review 2019 Aoki, S.; Aoki, Y.; Becirevic, D. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-00055	text	January 2019
FLAG Review 2019: Flavour Lattice Averaging Group (FLAG) Aoki, S.; Aoki, Y.; Bečirević, D. The European Physical Journal C, Vol. 80, Issue 2 https://doi.org/10.1140/epjc/s10052-019-7354-7	journal	February 2020
FLAG Review 2019 Aoki, S.; Aoki, Y.; Bečirević, D. Springer https://doi.org/10.7892/boris.141201	text	January 2020
FLAG Review 2019 Aoki, S.; Aoki, Y.; Becirevic, D. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-04064	text	January 2020
Hadronic tau decays as New Physics probes in the LHC era Cirigliano, Vincenzo; Falkowski, Adam; González-Alonso, Martín arXiv https://doi.org/10.48550/arxiv.1809.01161	text	January 2018

Similar Records

Standard Model Prediction for Direct

C P

Violation in

K \to π π

Decay

Journal Article · Tue Nov 17 00:00:00 EST 2015 · Physical Review Letters · OSTI ID:1336190

Bai, Z.; Blum, T.; Boyle, P. A.; +11 more

| V_{u s} |

from

K_{ℓ 3}

decay and four-flavor lattice QCD

Journal Article · Mon Jun 24 00:00:00 EDT 2019 · Physical Review. D. · OSTI ID:1336190

Bazavov, A.; Bernard, C.; DeTar, C.; +16 more

K \to π π

Δ I = 3 / 2

decay amplitude in the continuum limit

Journal Article · Mon Apr 06 00:00:00 EDT 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology · OSTI ID:1336190

Blum, T.; Boyle, P. A.; Christ, N. H.; +12 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Riken BNL Research Center

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

Citation Formats

References (84)

Cited By (7)

Similar Records

Related Subjects

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