Secondary Heavy Quark Production in Jets through Mass Modes

Abstract

We present an effective field theory method to determine secondary massive quark effects in jet production taking the thrust distribution for e+ e- collisions in the dijet limit as a concrete example. The method is based on the field theoretic treatment of collinear and soft mass modes which have to be separated coherently from the collinear and ultrasoft modes related to massless quarks and gluons. For thrust the structure of the conceptual setup is closely related to the production of massive gauge bosons and involves four different effective field theories to describe all possible kinematic situations. The effective field theories merge into each other continuously and thus allow for a continuous description from infinitely heavy to arbitrarily small masses keeping the exact mass dependence of the most singular terms treated through factorization. The mass mode field theory method we present here is in the spirit of the variable fermion number scheme originally proposed by Aivazis, Collins, Olness and Tung and can also be applied in hadron collisions.

Mass mode presentation refined, treatment of rapidity divergences added, a number of typos eliminated, 27 pages, 12 figures

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• Heavy Quark Fragmenting Jet Functions
• Variable Flavor Number Scheme for Final State Jets in Thrust
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• Massive Event-Shape Distributions at N${}^2$LL
• Next-to-next-to-leading logarithmic resummation for transverse thrust
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• Two loop soft function for secondary massive quarks
• Integrated and Differential Accuracy in Resummed Cross Sections
• Two-loop bottom mass effects on the Higgs transverse momentum spectrum in top-induced gluon fusion
• Precision $e^{+}{e}^{-}$ Hemisphere Masses in the Dijet Region with Power Corrections
• NLO Oriented Event-Shape Distributions for Massive Quarks
• QCD Beyond Leading Power