Abstract
Multivariate analyses are emerging as important tools to understand properties of hadronic jets, which play a key role in the LHC experimental program. We take a first step towards precise and differential theory predictions, by calculating the cross section for e+e− → 2 jets differential in the angularities eα and eβ. The logarithms of eα and eβ in the cross section are jointly resummed to next-to-next-to-leading logarithmic accuracy, using the SCET+ framework we developed, and are matched to the next-to-leading order cross section. We perform analytic one-loop calculations that serve as input for our numerical analysis, provide controlled theory uncertainties, and compare our results to Pythia. We also obtain predictions for the cross section differential in the ratio eα/eβ , which cannot be determined from a fixed-order calculation. The effect of nonperturbative corrections is also investigated. Using Event2, we validate the logarithmic structure of the single angularity cross section predicted by factorization theorems at mathcal{O}left({alpha}_s^2right) , highlighting the importance of recoil for specific angularities when using the thrust axis as compared to the winner-take-all axis.
Highlights
Hadronic jets play a central role in collider physics as proxies of the hard quarks and gluons produced in short-distance interactions
As a first step in understanding multi-differential cross sections beyond next-to-leading logarithmic (NLL) accuracy, we demonstrate in this paper how to exploit our theoretical framework for the case of the simultaneous measurement of two event shapes for e+e− collisions in the dijet limit, where all-order resummations are essential to obtain reliable theory predictions
We show the contributions which make up the total NNLL cross section
Summary
Hadronic jets play a central role in collider physics as proxies of the hard quarks and gluons produced in short-distance interactions. Several of the most powerful discriminants of quark- vs gluon-initiated jets or of QCD jets vs boosted hadronically decaying heavy particles are formed by taking ratios of two observables, as is done for N -subjettinesses [12, 13], energy-energy-correlation functions [14, 15] and planar flow [16] These are typically not infrared- and collinear-safe [17] but still Sudakov safe, meaning that they can be properly defined and calculated by marginalizing the corresponding resummed double differential cross section [18].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
