Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.16867 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915033930268672 |
|---|---|
| author | Dasgupta, Mrinal Hounat, Farid |
| author_facet | Dasgupta, Mrinal Hounat, Farid |
| contents | In this article we study, via analytical methods, $1/Q$ non-perturbative power corrections to event shape mean values, addressing in particular the question of their interplay with soft perturbative emissions. Specifically we point out that energy-ordered soft perturbative emissions that precede a non-perturbative emission, give rise to terms of the form $\frac{1}{Q} \left (α_s \ln \frac{Q}Λ \right)^n$. While such terms are formally higher order in the strong coupling, their form suggests that they can numerically compete with the leading $1/Q$ term while also modifying the $Q$ dependence of the result. The resummation of such power-suppressed but logarithmically enhanced terms lends an anomalous dimension to the leading $1/Q$ power correction. In order to argue for the presence of such an anomalous dimension, we formulate a method to compute the first order in $α_s$ correction for the mean values of the thrust $1-T$ and $C$-parameter observables. We comment on our findings in light of the standard picture of universality of $1/Q$ power corrections for event shape variables and implications for phenomenology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_16867 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exploring soft anomalous dimensions for $1/Q$ power corrections Dasgupta, Mrinal Hounat, Farid High Energy Physics - Phenomenology In this article we study, via analytical methods, $1/Q$ non-perturbative power corrections to event shape mean values, addressing in particular the question of their interplay with soft perturbative emissions. Specifically we point out that energy-ordered soft perturbative emissions that precede a non-perturbative emission, give rise to terms of the form $\frac{1}{Q} \left (α_s \ln \frac{Q}Λ \right)^n$. While such terms are formally higher order in the strong coupling, their form suggests that they can numerically compete with the leading $1/Q$ term while also modifying the $Q$ dependence of the result. The resummation of such power-suppressed but logarithmically enhanced terms lends an anomalous dimension to the leading $1/Q$ power correction. In order to argue for the presence of such an anomalous dimension, we formulate a method to compute the first order in $α_s$ correction for the mean values of the thrust $1-T$ and $C$-parameter observables. We comment on our findings in light of the standard picture of universality of $1/Q$ power corrections for event shape variables and implications for phenomenology. |
| title | Exploring soft anomalous dimensions for $1/Q$ power corrections |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2411.16867 |