Abstract
We study jet angularity measurements for single-inclusive jet production at the LHC. Jet angularities depend on a continuous parameter a allowing for a smooth interpolation between different traditional jet shape observables. We establish a factorization theorem within Soft Collinear Effective Theory (SCET) where we consistently take into account in- and out-of-jet radiation by making use of semi-inclusive jet functions. For comparison, we elaborate on the differences to jet angularities measured on an exclusive jet sample. All the necessary ingredients for the resummation at next-to-leading logarithmic (NLL) accuracy are presented within the effective field theory framework. We expect semiinclusive jet angularity measurements to be feasible at the LHC and we present theoretical predictions for the relevant kinematic range. In addition, we investigate the potential impact of jet angularities for quark-gluon discrimination.
Highlights
N-jet events in e+e− collisions was developed in [15]
We considered jet angularity measurements τa for inclusive jet production
We presented a corresponding factorization theorem, where the jet angularities are measured on an inclusive jet sample different than exclusive jet production considered earlier in the literature
Summary
We start by reviewing jet algorithms and angularities at hadron colliders [5, 19]. We discuss the refactorized form of the siAJFs and we provide operator definitions for the collinear and soft functions. We present the corresponding perturbative results and discuss their renormalization and RG evolution. We show that the fixed order results for the siAJFs can be integrated over τa to obtain the siJFs and we discuss how the joint resummation of logarithms ln R and ln(τa2−a /R) is achieved
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