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Electromagnetic Logarithms in B -> X_s l+ l-
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The B -> X_s l+ l- decay rate is known at the next-to-next-to-leading order in QCD. It is proportional to alpha_em (mu)^2 and has a +- 4% scale uncertainty before including the O(alpha_em log(M_W^2/m_b^2)) electromagnetic corrections. We evaluate these corrections and confirm the earlier findings of Bobeth et al. >. Furthermore, we complete the calculation of logarithmically enhanced electromagnetic effects by including also QED corrections to the matrix elements of four-fermion operators. Such corrections contain a collinear logarithm log(m_b^2/m_l^2) that survives integration over the low dilepton invariant mass region 1 GeV^2 < q^2 < 6 GeV^2 and enhances the integrated decay rate in this domain. For the low-q^2 integrated branching ratio in the muonic case, we find B (B -> X_s mu^+mu^-) = (1.59 +- 0.11) 10^(-6), where the error includes the parametric and perturbative uncertainties only. For B (B -> X_s e^+e^-), in the current BaBar and Belle setups, the logarithm of the lepton mass gets replaced by angular cut parameters and the integrated branching ratio for the electrons is expected to be close to that for the muons.
Forward citations
Cited by 7 Pith papers
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Two-Loop Anomalous Dimensions in the LEFT: Dimension-Six Four-Fermion Operators in NDR
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Renormalization-group equations of the LEFT at two loops: dimension-five effects
The complete two-loop renormalization-group equations for the dimension-five LEFT sector, derived in a chirally symmetric scheme, with two methods that avoid gauge-variant nuisance operators.
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A systematic SCET treatment of the power-enhanced QED correction to Bq->mu+mu- is derived, leading QED and QED-QCD logarithms are resummed, and updated branching fractions are presented.
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Renormalisation and invariants for two U(1)s
A covariant non-canonical kinetic term formulation for two U(1) models yields simple two-loop MSbar RGEs and reparametrization-invariant quantities linked to millicharges.
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Including twist-5 and twist-6 B_s-meson distribution amplitudes enhances the charm-loop non-local form factors in B_s to phi l+l- by about an order of magnitude, producing a larger but still Standard-Model-consistent ...
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Long distance effects in inclusive rare $B$ decays and phenomenology of $\bar{B}\to X_d \ell^+\ell^-$
A new Standard Model prediction for the inclusive \bar B -> X_d \ell^+\ell^- decay that incorporates charmonium resonances, resolved power corrections, QED logarithms, and five-body contributions.
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The rare decay $B^+ \to K^+\ell^+\ell^-(\nu\bar{\nu})$ under the QCD sum rules approach
A QCD light-cone sum-rule calculation with the authors' kaon distribution amplitudes predicts B(B+ to K+ nu nubar) = 4.14 x 10^-6 and B(B+ to K+ l+l-) around 6.6 x 10^-7, consistent with other SM estimates.
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