Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 2, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP02(2016)179
Keywords
Resummation; Heavy Quark Physics; Perturbative QCD
Categories
Funding
- Gottfried Wilhelm Leibniz programme of the Deutsche Forschungsgemeinschaft (DFG)
- Natural Science Foundation of Shandong Province, China [ZR2015AQ006]
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We compute radiative corrections to Lambda(b) -> Lambda from factors, at next-to-leading logarithmic accuracy, from QCD light-cone sum rules with Lambda(b)-baryon distribution amplitudes. Employing the diagrammatic approach factorization of the vacuum-to-Lambda(b)-baryon correlation function is justified at leading power in Lambda/m(b), with the aid of the method of regions. Hard functions entering the factorization formulae are identical to the corresponding matching coefficients of heavy-to-light currents from QCD onto soft-collinear effective theory. The universal jet function from integrating out the hard-collinear fluctuations exhibits richer structures compared with the one involved in the factorization expressions of the vacuum-to-B-meson correlation function. Based upon the QCD resummation improved sum rules we observe that the perturbative corrections at O(alpha(s)) shift the Lambda(b) -> Lambda from factors at large recoil significantly and the dominant contribution originates from the next-to-leading order jet function instead of the hard coefficient functions. Having at hand the sum rule predictions for the Lambda(b) -> Lambda from factors we further investigate several decay observables in the electro-weak penguin Lambda(b) -> Lambda l(+)l(-) transitions in the factorization limit (i.e., ignoring the non-factorizable hadronic effects which cannot be expressed in terms of the Lambda(b) -> Lambda from factors), including the invariant mass distribution of the lepton pair, the forward-backward asymmetry in the dilepton system and the longitudinal polarization fraction of the leptonic sector.
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