NNLO B-fragmentation fits and their application to $$ t\overline{t} $$ production and decay at the LHC
M. Czakon, Terry Generet, Alexander Mitov, René Poncelet
Abstract
A bstract In this work we derive three sets of non-perturbative fragmentation functions, with uncertainties, for B -hadrons, J / ψ ’s and muons resulting from semileptonic B decays. All three sets are with next-to-next-to leading order accuracy and include next-to-next-to leading logarithmic soft gluon resummation. The novel feature of these new sets is that they are fully consistent with our formalism for next-to-next-to leading order (NNLO) calculations for final states with identified B , J / ψ or a μ . We employ the fragmentation functions derived in this work to make state of the art predictions for such final states in $$ t\overline{t} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>t</mml:mi> <mml:mover> <mml:mi>t</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> events at the LHC. A special emphasis is placed on observables sensitive to the top quark mass. The present work opens the door for many LHC applications, like, open B production or B production in association with bosons.