Model-independent extraction of form factors and $|V_{cb}|$ in $overline{B} rightarrow D ell^- overlineν_ell$ with hadronic tagging at BaBar

Kavli Affiliate: D. B. Macfarlane

| First 5 Authors: BaBar Collaboration, J. P. Lees, V. Poireau, V. Tisserand, E. Grauges

| Summary:

Using the entire BaBar $Upsilon(4S)$ data set, the first two-dimensional
unbinned angular analysis of the semileptonic decay $overline{B} rightarrow D
ell^- overline{nu}_ell$ is performed, employing hadronic reconstruction of
the tag-side $B$ meson from $Upsilon(4S)to Boverline{B}$. Here, $ell$
denotes the light charged leptons $e$ and $mu$. A novel data-driven
signal-background separation procedure with minimal dependence on simulation is
developed. This procedure preserves all multi-dimensional correlations present
in the data. The expected $sin^2theta_ell$ dependence of the differential
decay rate in the Standard Model is demonstrated, where $theta_ell$ is the
lepton helicity angle. Including input from the latest lattice QCD calculations
and previously available experimental data, the underlying form factors are
extracted using both model-independent (BGL) and dependent (CLN) methods.
Comparisons with lattice calculations show flavor SU(3) symmetry to be a good
approximation in the $B_{(s)}to D_{(s)}$ sector. Using the BGL results, the
CKM matrix element $|V_{cb}|=(41.09pm 1.16)times 10^{-3}$ and the Standard
Model prediction of the lepton-flavor universality violation variable
$mathcal{R}(D)=0.300pm 0.004$, are extracted. The value of $|V_{cb}|$ from
$overline{B} rightarrow D ell^- overline{nu}_ell$ tends to be higher than
that extracted using $overline{B} rightarrow D ell^- overline{nu}_ell$.
The Standard Model $mathcal{R}(D)$ calculation is at a $1.97sigma$ tension
with the latest HFLAV experimental average.

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