Motivated by the LHCb measurement, we analyze the Bs→π+π−ℓ+ℓ− decay in the kinematics region where the pion pairs have invariant mass in the range 0.5-1.3 GeV and muon pairs do not originate from a resonance. The scalar π+π− form factor induced by the strange sˉs current is predicted by the unitarized approach rooted in the chiral perturbation theory. Using the two-hadron light-cone distribution amplitude, we then can derive the Bs→π+π− transition form factor in the light-cone sum rules approach. Merging these quantities, we present our results for differential decay width which can generally agree with the experimental data. More accurate measurements at the LHC and KEKB in future are helpful to validate our formalism and determine the inputs in this approach.
@article{arxiv.1502.05104,
title = {To understand the rare decay $B_s\to\pi^+\pi^-\ell^+\ell^-$},
author = {Wei Wang and Rui-Lin Zhu},
journal= {arXiv preprint arXiv:1502.05104},
year = {2015}
}
Comments
8 pages, 4 figures; v2: references added, match the published version