# Two loop virtual corrections to $$b\rightarrow (d,s)\ell ^+\ell ^-$$b→(d,s)ℓ+ℓ- and $$c\rightarrow u\ell ^+\ell ^-$$c→uℓ+ℓ- for arbitrary momentum transfer

@article{Boer2017TwoLV,
title={Two loop virtual corrections to \$\$b\rightarrow (d,s)\ell ^+\ell ^-\$\$b→(d,s)ℓ+ℓ- and \$\$c\rightarrow u\ell ^+\ell ^-\$\$c→uℓ+ℓ- for arbitrary momentum transfer},
author={Stefan de Boer},
journal={The European Physical Journal C},
year={2017},
volume={77},
pages={1-9}
}
• Stefan de Boer
• Published 2017
• Physics
• The European Physical Journal C
• 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 work on $$b\rightarrow (d,s)\ell ^+\ell ^-$$b→(d,s)ℓ+ℓ- transitions. New results for $$c\rightarrow u\ell ^+\ell ^-$$c→uℓ+ℓ- transitions are presented. Recent work on polylogarithms is used for the master integrals. For $$b\rightarrow s\ell ^+\ell ^-$$b→s… CONTINUE READING

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