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Resummed Mass Distribution for Jets Initiated by Massive Quarks
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We resum the invariant mass distribution of jets initiated by massive quarks in next-to-leading logarithmic approximation and beyond in heuristic way. We find that the inclusion of mass terms, in the N-moment space, results in the universal factor delta_N(Q^2;m^2), taking into account dead-cone effects and soft radiation characteristic of massive charges. This factor multiplies the massless jet distribution function J_N(Q^2). The variable N is rescaled by the mass correction parameter r = m^2/Q^2 << 1 with respect to the standard massless case, being m the quark mass and Q the hard scale. The functions A(alpha_S) and B(alpha_S), appear with a minus sign suppressing collinear effects at large N, as expected. In the same region, soft radiation not collinearly enhanced, characteristic of massive charges, makes its appearance with the function D(alpha_S). Phenomenological applications, such as the resummation of b --> c l nu decay spectra or the inclusion of beauty mass effects in t --> b W decays, are briefly sketched.
Forward citations
Cited by 4 Pith papers
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Bridging massive and massless schemes for soft gluon resummation in heavy-flavour production in $e^+e^-$ collisions
The paper computes the O(alpha_s) soft-limit constants that interpolate between massive and massless scheme resummations, raising the accuracy of heavy-flavour fragmentation predictions from NLL to NLL'.
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Heavy quark mass effects in the Energy-Energy Correlation in the back-to-back region
Massive quark Sudakov resummation for e+e- energy-energy correlations is extended to NNLL accuracy, and the NLL dead cone angle is enlarged by sqrt(e).
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Factorization of the Energy-Energy Correlation in the two-jet limit in the massive case
Authors introduce a partial two-jet event fraction for massive-quark EEC and an improved factorization scheme with χ-dependent coefficient function.
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Phenomenology of heavy-flavour jet angularities at hadron colliders
Resummed predictions for b-jet angularities including finite-mass effects and non-perturbative corrections are computed and compared to light-flavour jets.
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