Determination of the renormalized heavy-quark mass in lattice QCD

We review lattice results related to pion, kaon, D- and B-meson physics with the aim of making them easily accessible to the particle-physics community. More specifically, we report on the determination of the light-quark masses, the form factor , arising in the semileptonic transition at zero momentum transfer, as well as the decay constant ratio and its consequences for the CKM matrix elements and . Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of and Chiral Perturbation Theory. We review the determination of the parameter of neutral kaon mixing as well as the additional four B parameters that arise in theories of physics beyond the Standard Model. The latter quantities are an addition compared to the previous review. For the heavy-quark sector, we provide results for and (also new compared to the previous review), 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. Finally, we review the status of lattice determinations of the strong coupling constant .

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“…[ 9 ]; see also Ref. [ 631 ]. Since FLAG 13 a new application, HPQCD 14A [ 5 ], with flavours has appeared.…”

Section: The Strong Couplingmentioning

confidence: 99%

Review of lattice results concerning low-energy particle physics

et al. 2017

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“…Another is to define the mass via ratios of matrix elements derived from the CVC or PCAC relations. Finally, one can compute short-distance objects that are sensitive to the (heavy) quark masses, for which continuum perturbation theory can be used [618]. For the first two methods, a matching procedure is needed to relate the bare lattice mass, or currents, to a continuum scheme, such as MS.…”

Section: Lattice Qcdmentioning

confidence: 99%

Flavor physics in the quark sector

et al. 2010

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In the past decade, one of the major challenges of particle physics has been to gain an in-depth understanding of the role of quark flavor. In this time frame, measurements and the theoretical interpretation of their results have advanced tremendously. A much broader understanding of flavor particles has been achieved; apart from their masses and quantum numbers, there now exist detailed measurements of the characteristics of their interactions allowing stringent tests of Standard Model predictions. Among the most interesting phenomena of flavor physics is the violation of the CP symmetry that has been subtle and difficult to explore. In the past, observations of CP violation were confined to neutral K mesons, but since the early 1990s, a large number of CP-violating processes have been studied in detail in neutral B mesons. In parallel, measurements of the couplings of the heavy quarks and the dynamics for their decays in large samples of K, D, and B mesons have been greatly improved in accuracy and the results are being used as probes in the search for deviations from the Standard Model. In the near future, there will be a transition from the current to a new generation of experiments; thus a review of the status of quark flavor physics is timely. This report is the result of the work of physicists attending the 5th CKM workshop, hosted by the University of Rome "La Sapienza", September 9-13, 2008. It summarizes the results of the current generation of experiments that are about to be completed and it confronts these results with the theoretical understanding of the field which has greatly improved in the past decade. (C) 2010 Elsevier B.V. All rights reserved

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“…Four distinct methods are used in the results shown in Fig. 4: (1) converting the bare lattice mass to the MS scheme, (2) fitting to a formula for the heavy-light hadron mass in the heavy-quark expansion [286,287], and (3) computing moments of quarkonium correlation functions [288,289]. 4 The first two require an intermediate renormalization scheme that can be defined for any ultraviolet regulator: quark masses defined this way can be computed with lattice gauge theory or dimensional regularization.…”

Section: Quark Massesmentioning

confidence: 99%

Challenges in semileptonic $${\varvec{B}}$$ decays

et al. 2020

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Two of the elements of the Cabibbo–Kobayashi–Maskawa quark mixing matrix, $$|V_{ub}|$$ | V ub | and $$|V_{cb}|$$ | V cb | , are extracted from semileptonic B decays. The results of the B factories, analysed in the light of the most recent theoretical calculations, remain puzzling, because for both $$|V_{ub}|$$ | V ub | and $$|V_{cb}|$$ | V cb | the exclusive and inclusive determinations are in clear tension. Further, measurements in the $$\tau $$ τ channels at Belle, Babar, and LHCb show discrepancies with the Standard Model predictions, pointing to a possible violation of lepton flavor universality. LHCb and Belle II have the potential to resolve these issues in the next few years. This article summarizes the discussions and results obtained at the MITP workshop held on April 9–13, 2018, in Mainz, Germany, with the goal to develop a medium-term strategy of analyses and calculations aimed at solving the puzzles. Lattice and continuum theorists working together with experimentalists have discussed how to reshape the semileptonic analyses in view of the much higher luminosity expected at Belle II, searching for ways to systematically validate the theoretical predictions in both exclusive and inclusive B decays, and to exploit the rich possibilities at LHCb.

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Determination of the renormalized heavy-quark mass in lattice QCD

Cited by 25 publications

References 26 publications

Review of lattice results concerning low-energy particle physics

Review of lattice results concerning low-energy particle physics

Flavor physics in the quark sector

Challenges in semileptonic $${\varvec{B}}$$ decays

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