Abstract
We introduce a novel grooming procedure, which is an extension of the modified MassDrop tagging algorithm, tailored to the needs of deep inelastic scattering (DIS). The new algorithm, which grooms the event as a whole, takes advantage of the natural separation of current and target fragmentation in the Breit frame, in order to eliminate radiation in the beam and central rapidity regions. We study the groomed invariant mass in DIS and within soft-collinear effective theory we construct a factorization theorem for the cross-section in the back-to-back limit. In this limit we show that, up to a normalization factor, the cross-section does not depend on the incoming hadronic matrix element and we propose this measurement at HERA and the future electron-ion collider (EIC) as a probe to hadronization, precision QCD, and cold nuclear matter effects. We also give an event based definition of the Winner-Take-All axis and comment on possible applications.
Highlights
Some of the main goals of the future Electron-IonCollider [1] are the study of hadronization, quantum chromodynamics (QCD) dynamics, and 3D-imaging of the nucleon and nuclei
The corresponding algorithm we propose here is an extension of modified MassDrop Tagger
Some of the main differences between our proposal and modified MassDrop tagging (mMDT) are: (i) clustering is done using Centauro measure instead of the C/A algorithm, (ii) the algorithm takes as an input the deep inelastic scattering (DIS) event in the Breit frame rather than a jet, and (iii) the grooming condition uses the light-cone component of the momenta rather than the energy or transverse momentum
Summary
Some of the main goals of the future Electron-IonCollider [1] are the study of hadronization, QCD dynamics, and 3D-imaging of the nucleon and nuclei. Event shapes, jet, and jet substructure observables are proposed to achieve these goals. While at EIC contamination from UE is not going to be an issue, there are many other motivations for the use of grooming techniques Some of those are: (i) constructing observables free from nonglobal-logarithms, (ii) mitigation of hadronization corrections, (iii) phenomenological handle on soft radiation, and (iv) as a dial for nonperturbative contributions. As we discuss later using the example of groomed invariant mass, the shape of the groomed distribution is insensitive to the initial state hadronic matrix element and the kinematic variables of the hard process. We discuss the application of our algorithm to event shape observables using as an example the groomed invariant mass. In the Appendix we have collected fixed order results of various elements of the factorized cross section, as well as the leading order full-QCD cross section
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