Abstract
A factorization formalism for jet processes involving massive colored particles such as the top quark is developed, extending earlier results for the massless case. The factorization of soft emissions from the underlying hard process is implemented in an effective field theory framework, which forms the basis for the resummation of large logarithms. The renormalization group evolution giving rise to non-global logarithms is implemented into a parton shower code in the large-Nc limit. After a comparison of the massive and massless radiation patterns, the cross section for toverline{t} production with a veto on additional central jet activity is computed, taking into account radiation both from the production and the decay of the top quarks. The resummation of the leading logarithms leads to an improved description of ATLAS measurements at sqrt{s} = 7 TeV.
Highlights
Necessary to evolve one of the factors from its characteristic scale to the scale of the other factor by using the Renormalization Group (RG) equation
The factorization of soft emissions from the underlying hard process is implemented in an effective field theory framework, which forms the basis for the resummation of large logarithms
We have developed the necessary formalism to carry out the resummation of non-global logarithms for processes involving massive quarks
Summary
Necessary to evolve one of the factors from its characteristic scale to the scale of the other factor by using the Renormalization Group (RG) equation. When the energy of particles inside the jets (denoted by Q) is unconstrained and of the same order as the partonic center-ofmass energy, i.e. Q2 ∼ s, but the energy outside the jets (denoted by Q0) is required to be small, the phase-space integrals produce terms proportional to ln (Q/Q0) These logarithms become large if Q0 Q. The factorization formula studied in [7, 8], and in a closely related form in [10], are derived within the effective field theory approach and can be used to resum these corrections, in principle to all logarithmic orders, extending the earlier approaches [9, 11] which were restricted to leading logarithmic (LL) accuracy Based on this theoretical framework, a dedicated parton shower code was developed and applied to resum the large logarithms appearing in jet processes and isolation-cone cross sections up to LL order in [12]. The factorization theorem has the same general form as in the purely massless case
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