Abstract
The extraction of transverse momentum dependent distributions (TMDs) in semi-inclusive deep inelastic scattering (SIDIS) is complicated by the presence of both initial- and final-state nonperturbative physics. We recently proposed measuring jets (in- stead of hadrons) as a solution, showing that for the Winner-Take-All jet axis the same factorization formulae valid for hadrons applied to jets of arbitrary size. This amounts to simply replacing TMD fragmentation functions by our TMD jet functions. In this paper we present the calculation of these jet functions at one loop. We obtain phenomenological results for e+e−→ dijet (Belle II, LEP) and SIDIS (HERA, EIC) with a jet, building on the arTeMiDe code. Surprisingly, we find that the limit of large jet radius describes the full R results extremely well, and we extract the two-loop jet function in this limit using Event2, allowing us to achieve N3LL accuracy. We demonstrate the perturbative convergence of our predictions and explore the kinematic dependence of the cross section. Finally, we investigate the sensitivity to nonperturbative physics, demonstrating that jets are a promising probe of proton structure.
Highlights
Essential theoretical ingredient is factorization, which allows one to separate the cross section into a hard scattering, that can be calculated in perturbation theory, and processindependent parton distribution functions (PDFs)
It will be interesting to see whether this can be investigated with existing HERA data, and exciting to explore at the electron-ion collider (EIC), which will enable the extraction of PDFs with unmatched precision, with semi-inclusive deep inelastic scattering (SIDIS) experiments playing an important role [3]
In the case of SIDIS we provide numerical predictions for HERA and the EIC, and investigate the sensitivity of our cross section to nonperturbative effects
Summary
Essential theoretical ingredient is factorization, which allows one to separate the cross section into a hard scattering, that can be calculated in perturbation theory, and processindependent parton distribution functions (PDFs). We demonstrated that one can replace the TMD fragmentation functions entering factorization theorems with our TMD jet functions, for which the use of the Winner-Take-All (WTA) recombination scheme [2] played a key role. In the context of SIDIS experiments, replacing the nonperturbative TMD fragmentation functions with calculable jet functions would allow one to increase the sensitivity to initial-state nonperturbative physics. [7, 8] used soft-drop jet grooming [9] to reduce sensitivity to soft radiation within the jet These studies consider the transverse momentum with respect to the standard jet axis (SJA); instead, as an alternative way to reduce sensitivity to soft radiation, refs. The transverse momentum of the jet itself was recently considered in photon + jet production [12] and lepton-jet correlation in deep-inelastic scattering [13]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
