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Two loop virtual corrections to $b\to(d,s)\ell^+\ell^-$ and $c\to u\ell^+\ell^-$ for arbitrary momentum transfer
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abstract
Non-factorizable two loop corrections to heavy to light flavor changing neutral current transitions due to matrix elements of current-current operators are calculated analytically for arbitrary momentum transfer. This extends previous works on $b\to(d,s)\ell^+\ell^-$ transitions. New results for $c\to u\ell^+\ell^-$ transitions are presented. Recent works on polylogarithms are used for the master integrals. For $b\to s\ell^+\ell^-$ transitions, the corrections are most significant for the imaginary parts of the effective Wilson coefficients in the large hadronic recoil range. Analytical results and ready-to-use fitted results for a specific set of parameters are provided.
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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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