1-Jettiness in DIS: Measuring 2 Jets in 3 Ways

TL;DR

This paper calculates two-jet production cross sections in deep inelastic scattering using 1-jettiness event shapes, deriving factorization theorems and providing numerical results for different sensitivities to initial state radiation.

Contribution

It introduces three variants of 1-jettiness in DIS, deriving their factorization theorems with SCET and analyzing their transverse momentum dependence.

Findings

Achieved NNLL accuracy in resummation of large logarithms.

Derived distinct factorization theorems for each 1-jettiness variant.

Provided numerical predictions for HERA collider parameters.

Abstract

We compute cross sections for two-jet production in deep inelastic scattering (DIS), with one jet from initial state radiation (ISR) and the other from final state radiation, with a summation of large logarithms up to next-to-next-to-leading logarithmic (NNLL) accuracy. Use of the DIS event shape 1-jettiness ensures that events have two well-collimated jets. We calculate distributions for three versions of 1-jettiness that have different sensitivity to the transverse momentum of the ISR, and derive factorization theorems for each of them using the soft collinear effective theory (SCET). The structure of the transverse momentum dependence in the factorization theorems is different for each 1-jettiness. We present numerical results for these three observables with parameters for the HERA collider.