Статья

FLAG Review 2021

Yasumichi AokiRIKEN Center for Computational Science, Kobe, 650-0047, JapanTom BlumPhysics Department, University of Connecticut, Storrs, CT, 06269-3046, USAGilberto ColangeloAlbert Einstein Center for Fundamental Physics, Institut für Theoretische Physik, Universität Bern, Sidlerstr. 5, 3012, Bern, SwitzerlandSara CollinsInstitut für Theoretische Physik, Universität Regensburg, 93040, Regensburg, GermanyMichele Della MorteCP3-Origins and IMADA, University of Southern Denmark, Campusvej 55, 5230, Odense M, DenmarkP. DimopoulosDipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, 43124, Parma, ItalyStephan DürrUniversity of Wuppertal, Gaußstraße 20, 42119, Wuppertal, GermanyXu FengSchool of Physics, Peking University, Beijing, 100871, ChinaHidenori FukayaDepartment of Physics, Osaka University, Toyonaka, Osaka, 560-0043, JapanMaarten GoltermanDepartment of Physics and Astronomy, San Francisco State University, San Francisco, CA, 94132, USASteven GottliebDepartment of Physics, Indiana University, Bloomington, IN, 47405, USARajan GuptaLos Alamos National Laboratory, Theoretical Division T-2, Los Alamos, NM, 87545, USAS. HashimotoHigh Energy Accelerator Research Organization (KEK), Tsukuba, 305-0801, JapanUrs M. HellerAmerican Physical Society (APS), One Research Road, Ridge, NY, 11961, USAGregorio HerdoízaInstituto de Física Teórica UAM/CSIC and Departamento de Física Teórica, Universidad Autónoma de Madrid, Cantoblanco, 28049, Madrid, SpainPilar HernándezIFIC (CSIC-UVEG), Parc Científic de la Universitat de València, 46980, Paterna, SpainR. HorsleyHiggs Centre for Theoretical Physics, School of Physics and Astronomy, University of Edinburgh, Edinburgh, EH9 3FD, UKAndreas JüttnerSchool of Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ, UKT. KanekoHigh Energy Accelerator Research Organization (KEK), Tsukuba, 305-0801, JapanEnrico LunghiDepartment of Physics, Indiana University, Bloomington, IN, 47405, USAStefan MeinelDepartment of Physics, University of Arizona, Tucson, AZ, 85721, USAChristopher MonahanDepartment of Physics, The College of William and Mary, Williamsburg, VA, 23187, USAAmy NicholsonDepartment of Physics and Astronomy, University of North Carolina, Chapel Hill, NC, 27516-3255, USAT. OnogiDepartment of Physics, Osaka University, Toyonaka, Osaka, 560-0043, JapanC. PeñaInstituto de Física Teórica UAM/CSIC and Departamento de Física Teórica, Universidad Autónoma de Madrid, Cantoblanco, 28049, Madrid, SpainPéter PetreczkyPhysics Department, Brookhaven National Laboratory, Upton, NY, 11973, USAAntonin PortelliHiggs Centre for Theoretical Physics, School of Physics and Astronomy, University of Edinburgh, Edinburgh, EH9 3FD, UKAlberto RamosIFIC (CSIC-UVEG), Parc Científic de la Universitat de València, 46980, Paterna, SpainStephen R. SharpePhysics Department, University of Washington, Seattle, WA, 98195-1560, USAJames N. SimoneFermi National Accelerator Laboratory, Batavia, IL, 60510, USASilvano SimulaINFN, Sezione di Roma Tre, Via della Vasca Navale 84, 00146, Rome, ItalyStefan SintSchool of Mathematics and Hamilton Mathematics Institute, Trinity College Dublin, Dublin 2, IrelandRainer SommerJohn von Neumann Institute for Computing (NIC), DESY, Platanenallee 6, 15738, Zeuthen, GermanyNazario TantaloR. G. Van de WaterFermi National Accelerator Laboratory, Batavia, IL, 60510, USAUrs WengerCERN, Theoretical Physics Department, Geneva, SwitzerlandHartmut WittigPRISMA Cluster of Excellence, Institut für Kernphysik and Helmholtz Institute Mainz, University of Mainz, 55099, Mainz, GermanyFlavour Lattice Averaging Group (FLAG)

2022en

ABI

Аннотация

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 $$f_+(0)$$ <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> arising in the semileptonic $$K \rightarrow \pi $$ <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> transition at zero momentum transfer, as well as the decay constant ratio $$f_K/f_\pi $$ <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> and its consequences for the CKM matrix elements $$V_{us}$$ <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> and $$V_{ud}$$ <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> . Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of $$SU(2)_L\times SU(2)_R$$ <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> and $$SU(3)_L\times SU(3)_R$$ <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> Chiral Perturbation Theory. We review the determination of the $$B_K$$ <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> 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 $$m_c$$ <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> and $$m_b$$ <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> 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 $$\alpha _s$$ <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> . 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.

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Идентификаторы

DOI: 10.1140/epjc/s10052-022-10536-1

Цитирования и источники

Цитирований: 2Использованных источников: 0

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