FLAG Review 2021

Publication type:
Journal article
Metadata:
Abstract
<jats:title>Abstract</jats:title><jats:p>We review lattice results related to pion, kaon, <jats:italic>D</jats:italic>-meson, <jats:italic>B</jats:italic>-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 <jats:inline-formula><jats:alternatives><jats:tex-math>$$f_+(0)$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>f</mml:mi> <mml:mo>+</mml:mo> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>0</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> arising in the semileptonic <jats:inline-formula><jats:alternatives><jats:tex-math>$$K \rightarrow \pi $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>K</mml:mi> <mml:mo>→</mml:mo> <mml:mi>π</mml:mi> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> transition at zero momentum transfer, as well as the decay constant ratio <jats:inline-formula><jats:alternatives><jats:tex-math>$$f_K/f_\pi $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>f</mml:mi> <mml:mi>K</mml:mi> </mml:msub> <mml:mo>/</mml:mo> <mml:msub> <mml:mi>f</mml:mi> <mml:mi>π</mml:mi> </mml:msub> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> and its consequences for the CKM matrix elements <jats:inline-formula><jats:alternatives><jats:tex-math>$$V_{us}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>V</mml:mi> <mml:mrow> <mml:mi>us</mml:mi> </mml:mrow> </mml:msub> </mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$V_{ud}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>V</mml:mi> <mml:mrow> <mml:mi>ud</mml:mi> </mml:mrow> </mml:msub> </mml:math></jats:alternatives></jats:inline-formula>. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of <jats:inline-formula><jats:alternatives><jats:tex-math>$$SU(2)_L\times SU(2)_R$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>S</mml:mi> <mml:mi>U</mml:mi> <mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>2</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> <mml:mi>L</mml:mi> </mml:msub> <mml:mo>×</mml:mo> <mml:mi>S</mml:mi> <mml:mi>U</mml:mi> <mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>2</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> <mml:mi>R</mml:mi> </mml:msub> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$SU(3)_L\times SU(3)_R$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>S</mml:mi> <mml:mi>U</mml:mi> <mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>3</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> <mml:mi>L</mml:mi> </mml:msub> <mml:mo>×</mml:mo> <mml:mi>S</mml:mi> <mml:mi>U</mml:mi> <mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>3</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> <mml:mi>R</mml:mi> </mml:msub> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> Chiral Perturbation Theory. We review the determination of the <jats:inline-formula><jats:alternatives><jats:tex-math>$$B_K$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>B</mml:mi> <mml:mi>K</mml:mi> </mml:msub> </mml:math></jats:alternatives></jats:inline-formula> parameter of neutral kaon mixing as well as the additional four <jats:italic>B</jats:italic> parameters that arise in theories of physics beyond the Standard Model. For the heavy-quark sector, we provide results for <jats:inline-formula><jats:alternatives><jats:tex-math>$$m_c$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>m</mml:mi> <mml:mi>c</mml:mi> </mml:msub> </mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$m_b$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>m</mml:mi> <mml:mi>b</mml:mi> </mml:msub> </mml:math></jats:alternatives></jats:inline-formula> as well as those for the decay constants, form factors, and mixing parameters of charmed and bottom mesons and baryons. 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 <jats:inline-formula><jats:alternatives><jats:tex-math>$$\alpha _s$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>α</mml:mi> <mml:mi>s</mml:mi> </mml:msub> </mml:math></jats:alternatives></jats:inline-formula>. We consider nucleon matrix elements, and review the determinations of the axial, scalar and tensor bilinears, both isovector and flavor diagonal. Finally, in this review we have added a new section reviewing determinations of scale-setting quantities.</jats:p>
Autoren
  • Y Aoki
  • T Blum
  • G Colangelo
  • S Collins
  • M Della Morte
  • P Dimopoulos
  • S Dürr
  • X Feng
  • H Fukaya
  • M Golterman
  • Steven Gottlieb
  • R Gupta
  • S Hashimoto
  • UM Heller
  • G Herdoiza
  • P Hernandez
  • R Horsley
  • A Jüttner
  • T Kaneko
  • E Lunghi
  • S Meinel
  • C Monahan
  • A Nicholson
  • T Onogi
  • C Pena
  • P Petreczky
  • A Portelli
  • A Ramos
  • SR Sharpe
  • JN Simone
  • S Simula
  • S Sint
  • R Sommer
  • N Tantalo
  • R Van de Water
  • U Wenger
  • H Wittig
DOI
10.1140/epjc/s10052-022-10536-1
eISSN
1434-6052
Ausgabe der Veröffentlichung
10
Zeitschrift
The European Physical Journal C
Sprache
en
Artikelnummer
869
Online publication date
2022
Status
Published online
Herausgeber
Springer Science and Business Media LLC
Herausgeber URL
http://dx.doi.org/10.1140/epjc/s10052-022-10536-1
Datum der Datenerfassung
2022
Titel
FLAG Review 2021
Ausgabe der Zeitschrift
82

Data source: Crossref

Other metadata sources:
Author's licence
CC-BY
Autoren
  • Y Aoki
  • T Blum
  • G Colangelo
  • S Collins
  • Michele Della Morte
  • P Dimopoulos
  • Stephan Dürr
  • X Feng
  • H Fukaya
  • Maarten Golterman
  • Steven Gottlieb
  • Rajan Gupta
  • Shoji Hashimoto
  • UM Heller
  • Gregorio Herdoiza
  • P Hernandez
  • R Horsley
  • A Jüttner
  • T Kaneko
  • Enrico Lunghi
  • Stefan Meinel
  • Chris Monahan
  • A Nicholson
  • T Onogi
  • Carlos Peña
  • Peter Petreczky
  • Antonin Portelli
  • A Ramos
  • Stephen R Sharpe
  • James N Simone
  • S Simula
  • Stefan Sint
  • Rainer Sommer
  • Nazario Tantalo
  • Ruth Van de Water
  • Urs Wenger
  • Hartmut Wittig
Hosting institution
Universitätsbibliothek Mainz
Sammlungen
  • JGU-Publikationen
Resource version
Published version
DOI
10.1140/epjc/s10052-022-10536-1
File(s) embargoed
false
Open access
true
ISSN
1434-6044
Ausgabe der Veröffentlichung
10
Zeitschrift
The European physical journal : C, Particles and fields
Schlüsselwörter
  • 530 Physik
  • 530 Physics
Sprache
eng
Open access status
Open Access
Paginierung
869
Datum der Veröffentlichung
2022
Public URL
https://openscience.ub.uni-mainz.de/handle/20.500.12030/10277
Herausgeber
Springer
Datum der Datenerfassung
2024
Datum, an dem der Datensatz öffentlich gemacht wurde
2024
Zugang
Public
Titel
FLAG Review 2021
Ausgabe der Zeitschrift
82

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