Continuity and Semileptonic $B_{(s)}\to D_{(s)}$ Form Factors

Abstract

Small changes in the masses of massive external scattering states should correspond to small changes in the non-perturbative parameterization of form factors in quantum field theory, as long as the relevant energy range is not near strong deformations. Here, the definition of ``small'' is investigated and applied to $SU(3)$ breaking in semileptonic $B_{(s)}\to D_{(s)}$ transitions. When unitarity and analyticity are imposed, the differences in the form factors for semileptonic $B\to D$ versus $B_s\to D_s$ decays are found to be within $\mathcal{O}(1\%)$ over the entire kinematic range, not just at zero recoil, which is consistent with results from lattice calculations and differs from the expectation using HQET alone.

arXiv comment13 pages, 1 figure; minor changes to text, conclusions identical

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Cited by in corpus (7)

• Challenges in Semileptonic B Decays
• A puzzle in ${\bar{B}}_{(s)}^0\to D_{(s)}^{(\ast )+}\{{\pi }^{-},K^{-}\}$ decays and extraction of the $f_s/f_d$ fragmentation fraction
• $|V_{cb}|$, Lepton Flavour Universality and $SU(3{)}_F$ symmetry breaking in $B_s\to D_s^{(\ast )}\ell {\nu }_{\ell }$ decays through unitarity and lattice QCD
• Revisiting rescattering contributions to ${\overline{B}}_{(s)}\to D_{(s)}^{(\ast )}M$ decays
• Measurement of the shape of the $B_s^0\to D_s^{\ast -}{\mu }^{+}{\nu }_{\mu }$ differential decay rate
• The ratio $\mathcal{R}(D_s)$ for $B_s\to D_s\ell {\nu }_{\ell }$ by using the QCD light-cone sum rules within the framework of heavy quark effective field theory
• Inclusive semileptonic $B_s^0$ meson decays at the LHC via a sum-of-exclusive modes technique: possibilities and prospects