SciPost Submission Page
All Order Merging of High Energy and Soft Collinear Resummation
by Jeppe R. Andersen, Hitham Hassan, Sebastian Jaskiewicz
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Hitham Hassan |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2210.06898v2 (pdf) |
| Date accepted: | 2023-07-03 |
| Date submitted: | 2023-01-31 18:37 |
| Submitted by: | Hassan, Hitham |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 51st International Symposium on Multiparticle Dynamics (ISMD2022) |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
|
Abstract
We present a method of merging the exclusive LO-matched high energy resummation of High Energy Jets (HEJ) with the parton shower of Pythia which preserves the accuracy of the LO cross sections and the logarithmic accuracy of both resummation schemes across all of phase space. Predictions produced with this merging prescription are presented with comparisons to data from experimental studies and suggestions are made for further observables and experimental cuts which highlight the importance of both high energy and soft-collinear effects.
Author comments upon resubmission
List of changes
k_T in Eq.(1): This is a transverse momentum scale which all jets in the event are of a similar hardness to in the MRK limit, we have added a definition to the proceedings.
"FKL" refers to "Fadin-Kuraev-Lipatov", three of the founders of the BFKL formalism, and we use this naming convention to identify the LL configurations in the MRK limit. We have added a note to this effect to the proceedings.
The soft-collinear logarithm, Eq.(2): In the previous version of the draft we had incorrectly omitted a power of two from the logarithm on the LHS. In response, we have reformulated the equation in more general terms, referring to a generic evolution scale $t$ rather than a specific transverse momentum. Additionally, we have written a explanation that the double logarithmic structure of the ratio of evolution scales may be recast into a soft and collinear logarithm; each individually divergent.
Confusion around Eq.(3): The expression in Eq.(3) in the original draft is confusing and we have followed the recommendation to alter it. We replace Eq.(3) with a general expression for splitting functions in QCD (which are used in PYTHIA) and have added an equation (and some description) defining the HEJ analogue, making use of the HEJ-resummed matrix elements.
Published as SciPost Phys. Proc. 15, 022 (2024)