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A consistent resummation of mass and soft logarithms in processes with heavy flavours
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Perturbative calculations for processes that involve heavy flavours can be performed in two approaches: the massive scheme and the massless one. The former enables one to fully account for the heavy-quark kinematics, while the latter allows one to resum potentially-large mass logarithms. Furthermore, the two schemes can be combined to take advantage of the virtues of each of them. Both massive and massless calculations can be supplemented by soft-gluon resummation. However matching between massive and massless resummed calculations is difficult, essentially because of the non-commutativity of the soft and massless limits. In this paper, we develop a formalism to combine resummed massless and massive calculations. We obtain an all-order expression that consistently resums both mass and soft logarithms to next-to-leading logarithmic accuracy. We perform detailed calculations for the decay of the Higgs into a heavy-quark pair and discuss the applications of this formalism to different processes.
Forward citations
Cited by 5 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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Bottomoniumlike states in proton collisions: Fragmentation and resummation
New TQHL1.1 and TQ4Q1.1 fragmentation functions for doubly and fully bottomed tetraquarks are constructed and evolved, yielding first predictions for bottom-tetraquark plus jet distributions at 14 and 100 TeV.
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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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Heavy Flavor Jet Substructure at Lepton Colliders
NLL-accurate predictions for heavy-flavor energy correlation functions and jet angularities in e+e- collisions show all tested Monte Carlo generators overestimate the dead-cone suppression.
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On the quarkonium-in-jet collinear fragmentation at moderate-to-large transverse momentum
A preliminary NLO set of quarkonium fragmentation functions, NRFF1.0, is introduced and proposed as input for quarkonium-in-jet fragmentation studies.
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