Impact of Lattice QCD on CKM Phenomenology

Abstract

Precise lattice QCD results for hadronic matrix elements, decay constants and form factors play a crucial role in the determination of CKM matrix elements and in the identification of possible new physics contributions to flavour violating observables. This article reviews the implications of recent lattice QCD results on the phenomenology of flavour and CP violating meson decays, and highlights some future directions for lattice QCD calculations which would have a major impact on flavour phenomenology.

arXiv comment17 pages, 7 figures. Plenary talk given at The 34th International Symposium on Lattice Field Theory (Lattice 2016), Southampton, July 2016

References in corpus (29)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Observation of the rare $B_s^0\to {\mu }^{+}{\mu }^{-}$ decay from the combined analysis of CMS and LHCb data
• The $B\to D\ell \nu$ form factors at nonzero recoil and $|V_{cb}|$ from $2+1$-flavor lattice QCD
• Current status of the Standard Model CKM fit and constraints on $\Delta F=2$ New Physics
• $B\to Dl\nu$ Form Factors at Non-Zero Recoil and Extraction of $|V_{cb}|$
• Revisiting $B\to D\ell \nu$
• ${\Lambda }_b\to p{\ell }^{-}{\bar{\nu }}_{\ell }$ and ${\Lambda }_b\to {\Lambda }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ form factors from lattice QCD with relativistic heavy quarks
• Flavour physics from an approximate U(2)^3 symmetry
• Determination of the quark coupling strength $|V_{ub}|$ using baryonic decays
• Precise Measurements of Direct CP Violation, CPT Symmetry, and Other Parameters in the Neutral Kaon System
• $B\to \pi \ell \nu$ and $B_s\to K\ell \nu$ form factors and $|V_{ub}|$ from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
• Taming the higher power corrections in semileptonic B decays
• Patterns of Flavour Violation in Models with Vector-Like Quarks
• Quark flavour observables in the Littlest Higgs model with T-parity after LHC Run 1
• Quark flavour mixing with right-handed currents: an effective theory approach
• Can the differences in the determinations of $V_{ub}$ and $V_{cb}$ be explained by New Physics?
• Effects of right-handed charged currents on the determinations of |V_ub| and |V_cb|
• Improved anatomy of epsilon'/epsilon in the Standard Model
• Angular analysis of $B^0\to K^{\ast }(892{)}^0{\ell }^{+}{\ell }^{-}$
• Supersymmetric Explanation of CP Violation in $K\to \pi \pi$ Decays
• Implications of $b\to s$ measurements
• Singularity-free Next-to-leading Order $\Delta S=1$ Renormalization Group Evolution and ${\epsilon }_K^{\prime }/{\epsilon }_K$ in the Standard Model and Beyond
• Universal Unitarity Triangle 2016 and the Tension Between $\Delta M_{s,d}$ and ${\epsilon }_K$ in CMFV Models
• CP Violation in D0 - anti-D0 Oscillations: General Considerations and Applications to the Littlest Higgs Model with T-Parity
• Tension in the inclusive versus exclusive determinations of $|V_{cb}|$: a possible role of new physics
• Standard Model updates and new physics analysis with the Unitarity Triangle fit
• Emerging lattice approach to the K-Unitarity Triangle
• 331 Models Facing the Tensions in $\Delta F=2$ Processes with the Impact on ${\epsilon }^{\prime }/\epsilon$, $B_s\to {\mu }^{+}{\mu }^{-}$ and $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$