Hadronic effects and observables in B →π ℓ+ℓ- decay at large recoil
Abstract
We calculate the amplitude of the rare flavor-changing neutral-current decay B →π ℓ+ℓ- at large recoil of the pion. The nonlocal contributions in which the weak effective operators are combined with the electromagnetic lepton-pair emission are systematically taken into account. These amplitudes are calculated at off-shell values of the lepton-pair mass squared, q2<0 , employing the operator-product expansion, QCD factorization and light-cone sum rules. The results are fitted to hadronic dispersion relations in q2, including the intermediate vector meson contributions. The dispersion relations are then used in the physical region q2>0 . Our main result is the process-dependent addition Δ C9(B π )(q2) to the Wilson coefficient C9 obtained at 4 mℓ2<q2≲mJ/ψ 2 . Together with the B →π form factors from light-cone sum rules, this quantity is used to predict the differential rate, direct C P asymmetry and isospin asymmetry in B →π ℓ+ℓ- . We also estimate the total rate of the rare decay B →π ν ν ¯.
- Publication:
-
Physical Review D
- Pub Date:
- October 2015
- DOI:
- 10.1103/PhysRevD.92.074020
- arXiv:
- arXiv:1506.07760
- Bibcode:
- 2015PhRvD..92g4020H
- Keywords:
-
- 12.38.Lg;
- 13.20.He;
- 11.30.Er;
- Other nonperturbative calculations;
- Decays of bottom mesons;
- Charge conjugation parity time reversal and other discrete symmetries;
- High Energy Physics - Phenomenology
- E-Print:
- 37 pages, 15 figures, a few misprints corrected, the version published in Phys.Rev. D