Factorization for Jet Radius Logarithms in Jet Mass Spectra at the LHC

• Main Authors: Kolodrubetz, Daniel W, Pietrulewicz, Piotr, Stewart, Iain W, Tackmann, Frank J, Waalewijn, Wouter J
• Format: Journal Article
• Language: English
• Published: 03-12-2016
• Subjects: Physics - High Energy Physics - Phenomenology
• DOI: 10.48550/arxiv.1605.08038

To predict the jet mass spectrum at a hadron collider it is crucial to
account for the resummation of logarithms between the transverse momentum of
the jet and its invariant mass $m_J$. For small jet areas there are additional
large logarithms of the jet radius $R$, which affect the convergence of the
perturbative series. We present an analytic framework for exclusive jet
production at the LHC which gives a complete description of the jet mass
spectrum including realistic jet algorithms and jet vetoes. It factorizes the
scales associated with $m_J$, $R$, and the jet veto, enabling in addition the
systematic resummation of jet radius logarithms in the jet mass spectrum beyond
leading logarithmic order. We discuss the factorization formulae for the peak
and tail region of the jet mass spectrum and for small and large $R$, and the
relations between the different regimes and how to combine them. Regions of
experimental interest are classified which do not involve large nonglobal
logarithms. We also present universal results for nonperturbative effects and
discuss various jet vetoes.