Resummation prediction on the jet mass spectrum in one-jet inclusive production at the LHC

TL;DR

This paper develops a theoretical framework using soft-collinear effective theory to accurately predict the jet mass spectrum in one-jet inclusive production at the LHC, including resummation of large logarithms.

Contribution

It introduces a next-to-leading order calculation of the soft function with anti-$k_T$ algorithm and performs resummation at NNLL level, improving the precision of jet mass spectrum predictions.

Findings

Resummation enhances cross section by about 23%.

Predictions agree with PYTHIA at parton level and ATLAS data with non-perturbative effects.

The framework is extended to future 13 TeV LHC predictions.

Abstract

We study the factorization and resummation prediction on the jet mass spectrum in one-jet inclusive production at the LHC based on soft-collinear effective theory. The soft function with anti-$k_T$ algorithm is calculated at next-to-leading order and its validity is demonstrated by checking the agreement between the expanded leading singular terms with the exact fixed-order result. The large logarithms $\ln^{n} (m_J^2/p_T^2)$ and the global logarithms $\ln^{n} (s_4/p_T^2)$ in the process are resummed to all order at next-to-leading logarithmic and next-to-next-to-leading logarithmic level, respectively. The cross section is enhanced by about 23% from the next-to-leading logarithmic level to next-to-next-to-leading logarithmic level. Comparing our resummation predictions with those from Monte Carlo tool PYTHIA and ATLAS data at the 7 TeV LHC, we find that the peak positions of the jet mass spectra agree with those from PYTHIA at parton level, and the predictions of the jet mass spectra with non-perturbative effects are in coincidence with the ATLAS data. We also show the predictions at the future 13 TeV LHC.