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Title: FLAG Review 2019: Flavour Lattice Averaging Group (FLAG)

Abstract

We review lattice results related to pion, kaon, $D$-meson, $B$-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. More specifically, we report on the determination of the light-quark masses, the form factor $$f_+(0)$$ arising in the semileptonic $$K \to \pi$$ transition at zero momentum transfer, as well as the decay constant ratio $$f_K/f_\pi$$ and its consequences for the CKM matrix elements $$V_{us}$$ and $$V_{ud}$$. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of $$SU(2)_L\times SU(2)_R$$ and $$SU(3)_L\times SU(3)_R$$ Chiral Perturbation Theory. We review the determination of the $$B_K$$ parameter of neutral kaon mixing as well as the additional four $B$ parameters that arise in theories of physics beyond the Standard Model. For the heavy-quark sector, we provide results for $$m_c$$ and $$m_b$$ as well as those for $D$- and $B$-meson decay constants, form factors, and mixing parameters. These are the heavy-quark quantities most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. We review the status of lattice determinations of the strong coupling constant $$\alpha_s$$. Finally, in this review we have added a new section reviewing results for nucleon matrix elements of the axial, scalar and tensor bilinears, both isovector and flavor diagonal.

Authors:
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Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
Contributing Org.:
Flavour Lattice Averaging Group (FLAG)
OSTI Identifier:
1619870
Alternate Identifier(s):
OSTI ID: 1557466
Report Number(s):
arXiv:1902.08191; FERMILAB-PUB-19-077-T
Journal ID: ISSN 1434-6044; 113; PII: 7354
Grant/Contract Number:  
SC0011637; AC52-06NA25396; FG03-92ER40711; AC02-07CH11359
Resource Type:
Published Article
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
Journal Name: European Physical Journal. C, Particles and Fields Journal Volume: 80 Journal Issue: 2; Journal ID: ISSN 1434-6044
Publisher:
Springer Science + Business Media
Country of Publication:
Germany
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Aoki, S., Aoki, Y., Bečirević, D., Blum, T., Colangelo, G., Collins, S., Della Morte, M., Dimopoulos, P., Dürr, S., Fukaya, H., Golterman, M., Gottlieb, Steven, Gupta, R., Hashimoto, S., Heller, U. M., Herdoiza, G., Horsley, R., Jüttner, A., Kaneko, T., Lin, C. -J. D., Lunghi, E., Mawhinney, R., Nicholson, A., Onogi, T., Pena, C., Portelli, A., Ramos, A., Sharpe, S. R., Simone, J. N., Simula, S., Sommer, R., Van de Water, R., Vladikas, A., Wenger, U., and Wittig, H. FLAG Review 2019: Flavour Lattice Averaging Group (FLAG). Germany: N. p., 2020. Web. doi:10.1140/epjc/s10052-019-7354-7.
Aoki, S., Aoki, Y., Bečirević, D., Blum, T., Colangelo, G., Collins, S., Della Morte, M., Dimopoulos, P., Dürr, S., Fukaya, H., Golterman, M., Gottlieb, Steven, Gupta, R., Hashimoto, S., Heller, U. M., Herdoiza, G., Horsley, R., Jüttner, A., Kaneko, T., Lin, C. -J. D., Lunghi, E., Mawhinney, R., Nicholson, A., Onogi, T., Pena, C., Portelli, A., Ramos, A., Sharpe, S. R., Simone, J. N., Simula, S., Sommer, R., Van de Water, R., Vladikas, A., Wenger, U., & Wittig, H. FLAG Review 2019: Flavour Lattice Averaging Group (FLAG). Germany. doi:https://doi.org/10.1140/epjc/s10052-019-7354-7
Aoki, S., Aoki, Y., Bečirević, D., Blum, T., Colangelo, G., Collins, S., Della Morte, M., Dimopoulos, P., Dürr, S., Fukaya, H., Golterman, M., Gottlieb, Steven, Gupta, R., Hashimoto, S., Heller, U. M., Herdoiza, G., Horsley, R., Jüttner, A., Kaneko, T., Lin, C. -J. D., Lunghi, E., Mawhinney, R., Nicholson, A., Onogi, T., Pena, C., Portelli, A., Ramos, A., Sharpe, S. R., Simone, J. N., Simula, S., Sommer, R., Van de Water, R., Vladikas, A., Wenger, U., and Wittig, H. Tue . "FLAG Review 2019: Flavour Lattice Averaging Group (FLAG)". Germany. doi:https://doi.org/10.1140/epjc/s10052-019-7354-7.
@article{osti_1619870,
title = {FLAG Review 2019: Flavour Lattice Averaging Group (FLAG)},
author = {Aoki, S. and Aoki, Y. and Bečirević, D. and Blum, T. and Colangelo, G. and Collins, S. and Della Morte, M. and Dimopoulos, P. and Dürr, S. and Fukaya, H. and Golterman, M. and Gottlieb, Steven and Gupta, R. and Hashimoto, S. and Heller, U. M. and Herdoiza, G. and Horsley, R. and Jüttner, A. and Kaneko, T. and Lin, C. -J. D. and Lunghi, E. and Mawhinney, R. and Nicholson, A. and Onogi, T. and Pena, C. and Portelli, A. and Ramos, A. and Sharpe, S. R. and Simone, J. N. and Simula, S. and Sommer, R. and Van de Water, R. and Vladikas, A. and Wenger, U. and Wittig, H.},
abstractNote = {We review lattice results related to pion, kaon, $D$-meson, $B$-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. More specifically, we report on the determination of the light-quark masses, the form factor $f_+(0)$ arising in the semileptonic $K \to \pi$ transition at zero momentum transfer, as well as the decay constant ratio $f_K/f_\pi$ and its consequences for the CKM matrix elements $V_{us}$ and $V_{ud}$. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of $SU(2)_L\times SU(2)_R$ and $SU(3)_L\times SU(3)_R$ Chiral Perturbation Theory. We review the determination of the $B_K$ parameter of neutral kaon mixing as well as the additional four $B$ parameters that arise in theories of physics beyond the Standard Model. For the heavy-quark sector, we provide results for $m_c$ and $m_b$ as well as those for $D$- and $B$-meson decay constants, form factors, and mixing parameters. These are the heavy-quark quantities most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. We review the status of lattice determinations of the strong coupling constant $\alpha_s$. Finally, in this review we have added a new section reviewing results for nucleon matrix elements of the axial, scalar and tensor bilinears, both isovector and flavor diagonal.},
doi = {10.1140/epjc/s10052-019-7354-7},
journal = {European Physical Journal. C, Particles and Fields},
number = 2,
volume = 80,
place = {Germany},
year = {2020},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
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DOI: https://doi.org/10.1140/epjc/s10052-019-7354-7

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Cited by: 51 works
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conference, March 2017

  • Meinel, Stefan; Rendon, Gumaro
  • Proceedings of 34th annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)
  • DOI: 10.22323/1.256.0299

Hadron-hadron interactions from N f = 2 + 1 + 1 lattice QCD: isospin-2 ππ scattering length
journal, September 2015

  • Helmes, C.; Jost, C.; Knippschild, B.
  • Journal of High Energy Physics, Vol. 2015, Issue 9
  • DOI: 10.1007/JHEP09(2015)109

Form Factors for semi-leptonic $B$ decays
conference, March 2017

  • Flynn, Jonathan; Izubuchi, Taku; Juttner, Andreas
  • Proceedings of 34th annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)
  • DOI: 10.22323/1.256.0296

Measurement of the B s 0 μ + μ Branching Fraction and Effective Lifetime and Search for B 0 μ + μ Decays
journal, May 2017


Flavor diagonal tensor charges of the nucleon from ( 2 + 1 + 1 )-flavor lattice QCD
journal, November 2018


Semileptonic $B_c$ decays from full lattice QCD
conference, November 2016

  • Lytle, Andrew; Colquhoun, Brian; Davies, Christine
  • Proceedings of 16th International Conference on B-Physics at Frontier Machines — PoS(BEAUTY2016)
  • DOI: 10.22323/1.273.0069

Finite volume for three-flavour Partially Quenched Chiral Perturbation Theory through NNLO in the meson sector
journal, November 2015

  • Bijnens, Johan; Rössler, Thomas
  • Journal of High Energy Physics, Vol. 2015, Issue 11
  • DOI: 10.1007/JHEP11(2015)097

Monte Carlo methods for estimating linear combinations of inverse matrix entries in lattice QCD
journal, January 1994


Chiral condensate from the twisted mass Dirac operator spectrum
journal, October 2013

  • Cichy, Krzysztof; Garcia-Ramos, Elena; Jansen, Karl
  • Journal of High Energy Physics, Vol. 2013, Issue 10
  • DOI: 10.1007/JHEP10(2013)175

QCD isospin breaking in meson masses, decay constants and quark mass ratios
journal, May 2001


Two-loop sunset integrals at finite volume
journal, January 2014

  • Bijnens, Johan; Boström, Emil; Lähde, Timo A.
  • Journal of High Energy Physics, Vol. 2014, Issue 1
  • DOI: 10.1007/JHEP01(2014)019

Improved determination of B K with staggered quarks
journal, April 2014


Distribution of the k th smallest Dirac operator eigenvalue
journal, January 2001


SMD-based numerical stochastic perturbation theory
journal, May 2017


Heavy-to-light meson form factors at large recoil
journal, January 2006


RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
journal, December 2000


Direct determination of the strange and light quark condensates from full lattice QCD
journal, February 2013


Scale setting for α s beyond leading order
journal, February 2003


New result for the neutron β -asymmetry parameter A 0 from UCNA
journal, March 2018


Accelerating staggered-fermion dynamics with the rational hybrid Monte Carlo algorithm
journal, January 2007


Measurement of the decay B 0 π + ν and determination of | V u b |
journal, April 2011


ρ meson decay in 2 + 1 flavor lattice QCD
journal, November 2011


Zero-momentum contribution to wilson loops in periodic boxes
journal, December 1985


STATUS OF THE HADRONIC τ DETERMINATION OF V us
journal, August 2008

  • Maltman, K.; Wolfe, C. E.; Banerjee, S.
  • International Journal of Modern Physics A, Vol. 23, Issue 21
  • DOI: 10.1142/S0217751X08041803

The static potential in QCD — a full two-loop calculation
journal, September 1997


Lattice fermions with complex mass
journal, July 2006


Chiral perturbation theory for all-staggered heavy-light mesons
journal, November 2013


Discretization errors in the spectrum of the Hermitian Wilson-Dirac operator
journal, July 2006


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


Non-perturbative renormalization of lattice QCD at all scales
journal, April 1996