B → Kℓ+ℓ− decay at large hadronic recoil

By A. Khodjamirian, T. Mannel, Yaping Wang. 2012

178 citations recorded by the source corpus.

A bstractWe predict the amplitude of the B → Kℓ+ℓ− decay in the region of the dilepton invariant mass squared $ 0<{q^2}\leq m_{{{J \left/ {\psi } \right.}}}^2 $, that is, at large hadronic recoil. The B → K form factors entering the factorizable part of the decay amplitude are obtained from QCD light-cone sum rules. The nonlocal effects, generated by the four-quark and penguin operators combined with the electromagnetic interaction, are calculated at q2 < 0, far below the hadronic thresholds. For hard-gluon contributions we employ the QCD factorization approach. The soft-gluon nonfactorizable contributions are estimated from QCD light-cone sum rules. The result of the calculation is matched to the hadronic dispersion relation in the variable q2, which is then continued to the kinematical region of the decay. The overall effect of nonlocal contributions in B → Kℓ+ℓ− at large hadronic recoil is moderate. The main uncertainty of the predicted B → Kℓ+ℓ− partial width is caused by the B → K form factors. Furthermore, the isospin asymmetry in this decay is expected to be very small. We investigate the deviation of the observables from the Standard Model predictions by introducing a generic new physics contribution to the effective Hamiltonian.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f6c9341ea14f1a9487b9c565e26bb80ab6649779

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In Nuclear and High Energy Physics

Citations in the corpus

Flavour anomalies after the RK∗ measurement (2017, unknown): “3, 6], [16, 19] ATLAS B → K∗μμ 2017 [98] 〈FL〉(B → K∗μμ) [0.”
On the anomalies in the latest LHCb data (2016, background): “An analogous complete calculation of the soft-gluon nonfactorisable contributions in the case of the decay of B0 → K0`+`− [20] leads to a moderate effect.”
Implications of LHCb measurements and future prospects - eScholarship (2013, methodology): “20 is obtained, corresponding to γ = (68± 15)◦ (γ ∈ [25, 87]◦ at 95 % probability).”
On B → Vℓℓ at small dilepton invariant mass, power corrections, and new physics (2012, background): “For B → K`+`− (where the dilepton helicity λ = 0), such a calculation has been very recently performed in [94], wherein a “soft” contribution is identified and expressed in terms of three-particle B-meson light-cone distribution amplitudes.”
Λ b →Λ ℓ + ℓ - form factors, differential branching fraction, and angular observables from lattice QCD with relativistic b quarks (2016, background): “The treatment of the nonlocal hadronic matrix elements is significantly more challenging, and is usually based on an operator product expansion at high q(2) [19, 20], and QCD factorization [21] combined with light-cone sum rules [22, 23] at low q(2).”