Full CKM matrix with lattice QCD

Abstract

We show that it is now possible to fully determine the CKM matrix, for the first time, using lattice QCD. |V_{cd}|, |V_{cs}|, |V_{ub}|, |V_{cb}| and |V_{us}| are, respectively, directly determined with our lattice results for form factors of semileptonic D->pi l nu, D->K l nu, B->pi l nu, B->D l nu, and K->pi l nu decays. The error from the quenched approximation is removed by using the MILC unquenched lattice gauge configurations, where the effect of u,d and s quarks is included. The error from the ``chiral'' extrapolation (m_l->m_{ud}) is greatly reduced by using improved staggered quarks. The accuracy is comparable to that of the Particle Data Group averages. In addition, |V_{ud}|, |V_{tb}|, |V_{ts}| and |V_{td}| are determined by using unitarity of the CKM matrix and the experimental result for sin{(2beta)}. In this way, we obtain all 9 CKM matrix elements, where the only theoretical input is lattice QCD. We also obtain all the Wolfenstein parameters, for the first time, using lattice QCD.

7 pages, 2 figures. Based on an invited talk given at FPCP04 conference in Daegu (Korea). Additional result/analysis included to complete the full CKM matrix

References in corpus (7)

• Semileptonic decays of $D$ mesons in three-flavor lattice QCD
• Semileptonic D->pi/K and B->pi/D decays in 2+1 flavor lattice QCD
• The K -> pi vector form factor at zero momentum transfer on the lattice
• Staggered Chiral Perturbation Theory for Heavy-Light Mesons
• Semileptonic B Decays with Nf=2+1 Dynamical Quarks
• Leptonic decay constants f_Ds and f_D in three flavor lattice QCD
• B Leptonic Decays and B- bar B Mixing with 2+1 Flavors of Dynamical Quarks

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• Lattice study of semileptonic form factors with twisted boundary conditions
• K->pi form factors with reduced model dependence
• Full determination of the CKM matrix using recent results from lattice QCD
• First Lattice QCD Study of the Sigma -> n Axial and Vector Form Factors with SU(3) Breaking Corrections
• SU(2) chiral perturbation theory for Kl3 decay amplitudes
• Kaon physics: a lattice perspective
• Kaon semileptonic decay form factors in two-flavor QCD
• Progress in kaon physics on the lattice
• Lattice Kaon Physics
• Can we use hadronic tau decay for V_us determination