Lattice QCD inputs to the CKM unitarity triangle analysis

Abstract

We perform a global fit to the CKM unitarity triangle using the latest experimental and theoretical constraints. Our emphasis is on the hadronic weak matrix elements that enter the analysis, which must be computed using lattice QCD or other nonperturbative methods. Realistic lattice QCD calculations which include the effects of the dynamical up, down, and strange quarks are now available for all of the standard inputs to the global fit. We therefore present lattice averages for all of the necessary hadronic weak matrix elements. We attempt to account for correlations between lattice QCD results in a reasonable but conservative manner: whenever there are reasons to believe that an error is correlated between two lattice calculations, we take the degree of correlation to be 100%. These averages are suitable for use as inputs both in the global CKM unitarity triangle fit and other phenomenological analyses. In order to illustrate the impact of the lattice averages, we make Standard Model predictions for the parameters BK, |Vcb|, and |Vub|/|Vcb|. We find a (2-3) sigma tension in the unitarity triangle, depending upon whether we use the inclusive or exclusive determination of |Vcb|. If we interpret the tension as a sign of new physics in either neutral kaon or B mixing, we find that the scenario with new physics in kaon-mixing is preferred by present data.

33 pages, 12 figures, references added, discussion slightly expanded, updated values of alpha, Vcb inclusive, and Vub inclusive

References in corpus (15)

• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Correlations among new CP violating effects in Delta F = 2 observables
• Neutral B Meson Mixing in Unquenched Lattice QCD
• Possible Indications of New Physics in Bd-mixing and in sin(2 beta) Determinations
• High-Precision Charm-Quark Mass and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• Inclusive semileptonic B decays and the determination of |V_ub|
• The B -> pi l nu semileptonic form factor from three-flavor lattice QCD: A model-independent determination of |V(ub)|
• The B -> D* l nu form factor at zero recoil from three-flavor lattice QCD: A model independent determination of |V_cb|
• Neutral kaon mixing from 2+1 flavor Domain Wall QCD
• K^0-\bar K^0 mixing beyond the standard model and CP-violating electroweak penguins in quenched QCD with exact chiral symmetry
• On the consistency between the observed amount of CP violation in the K- and Bd-systems within minimal flavor violation
• Unquenched determination of the kaon parameter B_K from improved staggered fermions
• Hints for the scale of new CP-violating physics from B-CP anomalies
• On-shell Delta I = 3/2 kaon weak matrix elements with non-zero total momentum

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