Abstract
We present the transverse momentum spectrum of groomed jets in di-jet events for e+e− collisions and semi-inclusive deep inelastic scattering (SIDIS). The jets are groomed using a soft-drop grooming algorithm which helps in mitigating effects of non-global logarithms and underlying event. At the same time, by reducing the final state hadronization effects, it provides a clean access to the non-perturbative part of the evolution of transverse momentum dependent (TMD) distributions. In SIDIS experiments we look at the transverse momentum of the groomed jet measured w.r.t. the incoming hadron in the Breit frame. Because the final state hadronization effects are significantly reduced, the SIDIS case allows to probe the TMD parton distribution functions. We discuss the sources of non-perturbative effects in the low transverse momentum region including novel (but small) effects that arise due to grooming. We derive a factorization theorem within SCET and resum any large logarithm in the measured transverse momentum up to NNLL accuracy using the ζ-prescription as implemented in the artemide package and provide a comparison with simulations.
Highlights
The understanding of the structure of nucleons is one of the most important and interesting research subject in modern nuclear physics
If we look at the factorization for DIS, eq (3.6), the key point to note is that Jj⊥(ecut, Q, zcut, b; μ, ζB) is the same object that appears in the case of e+e−, while Fi←h is just the TMD parton distribution functions (TMDPDF)
We have presented the computation of the transverse momentum de-correlation observable for fat jets groomed using the Soft-Drop algorithm
Summary
The understanding of the structure of nucleons is one of the most important and interesting research subject in modern nuclear physics. Developments in jet substructure have shown that applying a grooming algorithm to a jet, using for example the so called “soft-drop” procedure, robustly removes the contamination from both underlying event and non-global correlations Since this process essentially removes wide angle soft radiation, retaining only a collinear core, it dramatically reduces hadronization effects (see figure 1), allowing an easier access to the TMD nonperturbative physics which we want to probe. In order to focus on collimated jet configurations, we impose an upper cutoff in the groomed jet invariant mass.1 This constraint allows us to derive a factorization theorem involving the same universal soft function that appears in traditional hadronic TMD, and which is independent of the jet radius for R ∼ 1. The details of the one loop calculations, resummation, and evolution are provided in the appendix
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