#### Document Type

Article

#### Department/Program

Physics

#### Journal Title

PHYSICAL REVIEW D

#### Pub Date

6-16-2017

#### Volume

95

#### Issue

11

#### Abstract

We present a lattice quantum chromodynamics determination of the scalar and vector form factors for the B-s -> D(s)l. decay over the full physical range of momentum transfer. In conjunction with future experimental data, our results will provide a new method to extract vertical bar V-cb vertical bar, which may elucidate the current tension between exclusive and inclusive determinations of this parameter. Combining the form factor results at nonzero recoil with recent HPQCD results for the B -> Dl(v) form factors, we determine the ratios f(0)(Bs -> Ds) (M-pi(2))/f(0)(B -> D) (M-K(2))=1.000(62) and f(0)(Bs -> Ds) (M-pi(2))/f(0)(B -> D)(M-pi(2))=1.006(62). These results give the fragmentation fraction ratios f(s)/f(d) = 0.310(30)(stat)(21)(syst)(6)(theor)(38)(latt) and f(s)/f(d) = 0.307(16)(stat)(21)(syst)(23)(theor)(44)(latt), respectively. The fragmentation fraction ratio is an important ingredient in experimental determinations of Bs meson branching fractions at hadron colliders, in particular for the rare decay B(B-s ->mu(+)mu(-). In addition to the form factor results, we make the first prediction of the branching fraction ratio R(D-s) = B(B-s -> D-s tau nu)/B(B-s -> D-s tau nu)= 0.301(6), where l is an electron or muon. Current experimental measurements of the corresponding ratio for the semileptonic decays of B mesons disagree with Standard Model expectations at the level of nearly four standard deviations. Future experimental measurements of R(D-s) may help understand this discrepancy.

#### Recommended Citation

Monahan, Christopher J.; Na, Heechang; Bouchard, Chris M.; Lepage, G. Peter; and Shigemitsu, Junko, B-s -> D(s)l nu form factors and the fragmentation fraction ratio f(s)/f(d) (2017). *PHYSICAL REVIEW D*, 95(11).

10.1103/PhysRevD.95.114506

#### DOI

10.1103/PhysRevD.95.114506