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

Ze Long Liu, Chong Sheng Li, Jian Wang, Yan Wang

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.

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

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- 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 and the global logarithms 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.

Paper Structure

This paper contains 24 sections, 129 equations, 10 figures, 3 tables.

Table of Contents

  1. Introduction
  2. Analysis of kinematics and factorization
  3. Factorization in SCET
  4. Hard function
  5. Wilsons coefficient at NLO
  6. RG evolution of the hard function
  7. Jet function
  8. Soft function
  9. NLO calculation
  10. RG equation of the soft function
  11. Refactorization of the soft function
  12. RG improved cross section
  13. Numerical results
  14. Leading singular spectrum of jet mass
  15. Scale choices and uncertainties
  16. ...and 9 more sections

Figures (10)

  • Figure 1: The illustrative picture for dijet production at the LHC. The blue and red arcs denote the collinear and soft gluons, respectively.
  • Figure 2: Nonvanishing diagrams contributing to the quark and gluon jet function at NLO.
  • Figure 3: Non-vanishing diagrams contributing to the soft function at NLO.
  • Figure 4: The jet mass distributions from the exact NLO calculation and the resummed results expanded to leading order (SCET Expand). Here, $p_{ T \rm max}=$ 600 GeV.
  • Figure 5: The rescaled contribution from hard, soft and jet functions, as a function of their corresponding scales.
  • ...and 5 more figures