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

Understand

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.