Transverse Vetoes with Rapidity Cutoff in SCET

Abstract

We consider di-jet production in hadron collisions where a transverse veto is imposed on radiation for (pseudo-)rapidities in the central region only, where this central region is defined with rapidity cutoff. For the case where the transverse measurement (e.g., transverse energy or min $p_T$ for jet veto) is parametrically larger relative to the typical transverse momentum beyond the cutoff, the cross section is insensitive to the cutoff parameter and is factorized in terms of collinear and soft degrees of freedom. The virtuality for these degrees of freedom is set by the transverse measurement, as in typical transverse-momentum dependent observables such as Drell-Yan, Higgs production, and the event shape broadening. This paper focuses on the other region, where the typical transverse momentum below and beyond the cutoff is of similar size. In this region the rapidity cutoff further resolves soft radiation into (u)soft and soft-collinear radiation with different rapidities but identical virtuality. This gives rise to rapidity logarithms of the rapidity cutoff parameter which we resum using renormalization group methods. We factorize the cross section in this region in terms of soft and collinear functions in the framework of soft-collinear effective theory, then further refactorize the soft function as a convolution of the (u)soft and soft-collinear functions. All these functions are calculated at one-loop order. As an example, we calculate a differential cross section for a specific partonic channel, $q{q}^{\prime }\to q{q}^{\prime }$, for the jet shape angularities and show that the refactorization allows us to resum the rapidity logarithms and significantly reduce theoretical uncertainties in the jet shape spectrum.

References in corpus (18)

• PYTHIA 6.4 Physics and Manual
• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• LHAPDF6: parton density access in the LHC precision era
• Treating the b quark distribution function with reliable uncertainties
• Top Jets in the Peak Region: Factorization Analysis with NLL Resummation
• Factorization of e+e- Event Shape Distributions with Hadronic Final States in Soft Collinear Effective Theory
• On jet mass distributions in Z+jet and dijet processes at the LHC
• Parton Fragmentation within an Identified Jet at NNLL
• Fragmentation in Jets at NNLO
• Measurement of the underlying event in the Drell-Yan process in proton-proton collisions at sqrt(s) = 7 TeV
• Probing Quarkonium Production Mechanisms with Jet Substructure
• Jet vetoing at the LHC
• Jet Shape Resummation Using Soft-Collinear Effective Theory
• Non-global logarithms at finite Nc beyond leading order
• Measurement of the underlying event in jet events from 7 TeV proton-proton collisions with the ATLAS detector
• Non-global and rapidity logarithms in narrow jet broadening
• Resummation of the transverse-energy distribution in Higgs boson production at the Large Hadron Collider
• Theory and phenomenology of non-global logarithms

Cited by in corpus (1)

• Collinear expansion for color singlet cross sections