Resummation of jet-veto logarithms in hadronic processes containing jets

TL;DR

This paper develops a theoretical framework using soft-collinear effective theory to resum jet-veto logarithms in hadronic processes with multiple jets, improving precision in Higgs boson analyses at the LHC.

Contribution

It derives a factorization theorem for processes with multiple jets and resums large logarithms at next-to-leading-logarithmic accuracy, applicable to Higgs and other analyses.

Findings

Resummation of large Sudakov logarithms up to NLL accuracy.

Numerical results for Higgs plus jet production at the LHC.

Applicability conditions for the factorization formula.

Abstract

We derive a factorization theorem for production of an arbitrary number of color-singlet particles accompanied by a fixed number of jets at the LHC. The jets are defined with the standard anti-$k_T$ algorithm, and the fixed number of jets is obtained by imposing a veto on additional radiation in the final state. The formalism presented here is useful for current Higgs boson analyses using exclusive jet bins, and for other studies using a similar strategy. The derivation uses the soft-collinear effective theory and assumes that the transverse momenta of the hard jets are larger than the veto scale. We resum the large Sudakov logarithms $\alpha_s^n \log^{2n-m}(p_T^{J}/p_T^{veto})$ up to the next-to-leading-logarithmic accuracy, and present numerical results for Higgs boson production in association with a jet at the LHC. We comment on the experimentally-interesting parameter region in which we expect our factorization formula to hold.