CKM matrix with lattice QCD - the full determination using recent results

Okamoto, M.

doi:10.22323/1.020.0013

Cited by 46 publications

(72 citation statements)

References 37 publications

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“…We investigate the behavior of the perturbative expansion and smallness of the continuum contribution (to be less then 30% of the total contribution), and require that the derivative over the Borel parameter of the expression for a particular decay constant, which gives the sum rule for m 2 B (m 2 Bs ), does not deviate more than 0.5 − 1% from the experimental values for those masses. We obtain the following sets of parameters: which nicely agrees with the values obtained from the lattice calculation and by different quark models [26,27,28].…”

Section: Updated Predictions For the B (S)supporting

confidence: 85%

B,Bs→Kform factors: An update of light-cone sum rule results

Duplančić

Melić

2008

Phys. Rev. D

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We present an improved QCD light-cone sum rule (LCSR) calculation of the B → K and Bs → K form factors by including SU(3)-symmetry breaking corrections. We use recently updated K meson distribution amplitudes which incorporate the complete SU(3)-breaking structure. By applying the method of direct integration in the complex plane, which is presented in detail, the analytical extraction of the imaginary parts of LCSR hard-scattering amplitudes becomes unnecessary and therefore the complexity of the calculation is greatly reduced. The values obtained for the relevant B

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Section: Updated Predictions For the B (S)supporting

confidence: 85%

B,Bs→Kform factors: An update of light-cone sum rule results

Duplančić

Melić

2008

Phys. Rev. D

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“…This is related to the ISGW form factor f + by masses are used for the mock meson masses. Lattice calculations give 1.074 ± 0.018 ± 0.016 [31]. For B → D * the lattice results are given as F A (w = 1).…”

Section: B Comparison With Other Resultsmentioning

confidence: 96%

Nonleptonic weak decays ofBtoDsandDmesons

Thomas

2006

Phys. Rev. D

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Branching ratios and polarization amplitudes for B decaying to all allowed pseudoscalar, vector, axial-vector, scalar and tensor combinations of Ds and D mesons are calculated in the Isgur Scora Grinstein Wise (ISGW) quark model after assuming factorization. We find good agreement with other models in the literature and the limited experimental data and make predictions for as yet unseen decay modes. Lattice QCD results in this area are very limited. We make phenomenological observations on decays in to Ds(2317) and Ds(2460) and propose tests for determining the status and mixings of the axial mesons. We use the same approach to calculate branching ratios and polarization fraction for decays in to two D type mesons.

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“…There is some tension between the CKM fit estimation of |V ub | = (3.59 +0. 17 −0.18 ) × 10 −3 (dominated by the sin 2β measurement) and the average value (pulled by the inclusive measurement) as shown in Fig. 1. …”

Section: Ckm Metrology: Inputs To the Global Fitmentioning

confidence: 91%

CKM Fits: What the Data Say (Focused on B Physics)

T’Jampens

2007

Nuclear Physics B - Proceedings Supplements

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An up-to-date profile of the Cabibbo-Kobayashi-Maskawa matrix is given with emphasis on the interpretation of recent results on CP violation from the B factories. We provide a review of the relevant experimental and theoretical inputs from the contributing domains of the electroweak interaction. We give numerical and graphical constraints on the CKM parameters and predictions of related physical observables. We discuss the impact of what the data actually say on model-independent studies of new physics. The Unitary-exact Wolfenstein Parametrization and Rephasing-invariant QuantitiesThe Standard Model (SM) of electroweak interactions describes CP violation in weak interactions as a consequence of a single non-vanishing complex phase in the three-generation Cabibbo-Kobayashi-Maskawa (CKM) quark-mixing matrix [1,2]. The CKM matrix V has four quantities which are fundamental constants. These may be parametrized in a variety of ways. The standard parametrization, proposed by Chau-Keung [3] and advocated by the Particle Data Group [4], uses three mixing angles θ 12 , θ 23 , θ 13 and one CP-odd phase δ 13 which generates CP violation. The fact that there is only one independent CP-violating parameter in the electroweak sector means that this is a very predictive and testable model. Following the observation of a hierarchy between different matrix elements, Wolfenstein [5] proposed an expansion of the CKM matrix in terms of four parameters, A, λ, ρ and η (λ being the expansion parameter). Defining [6] λ ≡ sin θ 12 , Aλ 2 ≡ sin θ 13 and Aλ 3 (ρ + iη) ≡ sin θ 13 e −iδ13 to all orders in λ (i.e., these expressions are exact by definition; they are not corrected by terms of higher order in λ) ensures a unitary-exact Wolfenstein parametrization. Moreover, physically meaningful quantities must be rephasing-invariant quantities. Such invariants are the moduli, |V ij |, and the quadri-products, V ij V kl V * il V * jk . The Wolfenstein parameters, being physical quantities, must be phase-convention invariant:. ρ and η with ρ + iη = V * ub /(Aλ 3 ) are not phaseconvention invariant, in contrast to ρ + iη [7]. The results given in this paper use the unitary-exact Wolfenstein parametrization and rephasing-invariant quantities. λ is determined from |V ud | (superallowed nuclear transitions) and |V us | (semileptonic kaon decays) to a combined precision of 0.5%. A is determined from |V cb | (inclusive and exclusive semileptonic B decays) to a combined precision of about 2%. While λ and A are well-known, the parameters ρ and η are much more uncertain (about 20% for ρ and 7% for η). The main goal of CP-violation experiments is to over-constrain these parameters by measuring both the three angles and the sides of the unitarity triangle (UT) and, possibly, to find inconsistencies suggesting the existence of physics beyond the SM. What is important is thus the capability of the CKM mechanism to describe flavor dynamics of many constraints from vastly different scales and not the measurement of the CKM phase's value per se. CKM Metrology:...

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CKM matrix with lattice QCD - the full determination using recent results

Cited by 46 publications

References 37 publications

B,Bs→Kform factors: An update of light-cone sum rule results

B,Bs→Kform factors: An update of light-cone sum rule results

Nonleptonic weak decays ofBtoDsandDmesons

CKM Fits: What the Data Say (Focused on B Physics)

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