$B\to Dl\nu$ Form Factors at Non-Zero Recoil and Extraction of $|V_{cb}|$

Abstract

We present a lattice QCD calculation of the $B\to Dl\nu$ semileptonic decay form factors $f_{+}(q^2)$ and $f_0(q^2)$ for the entire physical $q^2$ range. Non-relativistic QCD (NRQCD) bottom quarks and Highly Improved Staggered Quark (HISQ) charm and light quarks are employed together with $N_f=2+1$ MILC gauge configurations. A joint fit to our lattice and BaBar experimental data allows an extraction of the CKM matrix element $|V_{cb}|$. We also determine the phenomenologically interesting ratio $R(D)=\mathcal{B}(B\to D\tau {\nu }_{\tau })/\mathcal{B}(B\to Dl{\nu }_l)$ ($l=e,\mu$). We find $|V_{cb}{|}_{excl.}^{B\to D}=0.0402(17)(13)$, where the first error consists of the lattice simulation errors and the experimental statistical error and the second error is the experimental systematic error. For the branching fraction ratio we find $R(D)=0.300(8)$.

Fixed typos in Eq. (44). Some editorial fixes

References in corpus (8)

• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• The $B\to D\ell \nu$ form factors at nonzero recoil and $|V_{cb}|$ from $2+1$-flavor lattice QCD
• Precision determination of the CKM element Vcb
• Charged-Higgs effects in a new B -> D tau nu differential decay distribution
• $D\to K,l\nu$ Semileptonic Decay Scalar Form Factor and $|V_{cs}|$ from Lattice QCD
• $B_s\to K\ell \nu$ form factors from lattice QCD
• Matching lattice and continuum axial-vector and vector currents with NRQCD and HISQ quarks
• Vector Formfactors in Hard Pion Chiral Perturbation Theory

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