Abstract
We perform an analysis of the one- and two-loop massive quark form factor in QED in a region expansion, up to next-to-leading power in the quark mass. This yields an extensive set of regional integrals, categorized into three topologies, against which factorization theorems at next-to-leading power could be tested. Our analysis reveals a number of subtle aspects involving rapidity regulators, as well as additional regions that manifest themselves only beyond one loop, at the level of single diagrams, but which cancel in the form factor.
| Original language | English |
|---|---|
| Article number | 24 |
| Pages (from-to) | 1-50 |
| Number of pages | 50 |
| Journal | Journal of High Energy Physics |
| Volume | 2024 |
| Early online date | 5 Feb 2024 |
| DOIs | |
| Publication status | Published - 2024 |
Bibliographical note
Publisher Copyright:© The Author(s) 2024.
Funding
We thank Nicolò Maresca for cross-checking some of the master integrals, Roberto Bonciani and Pierpaolo Mastrolia for helpful communications on ref. [50], and Yao Ma for pointing out the region interpretation discussed in footnote 8. L.V. thanks Nikhef for hospitality and partial support during the completion of this work, and the Erwin-Schrödinger International Institute for Mathematics and Physics at the University of Vienna for partial support during the Program “Quantum Field Theory at the Frontiers of the Strong Interactions”, July 31 - September 1, 2023. E.L. and L.V. also thank the Galileo Galilei Institute for Theoretical Physics of INFN, Florenze, for partial support during the Program “Theory Challenges in the Precision Era of the Large Hadron Collider”, August 28 - October 13, 2023. The work of J.t.H is supported by the Dutch Science Council (NWO) via an ENW-KLEIN-2 project. The work of L.V. has been partly supported by Fellini - Fellowship for Innovation at INFN, funded by the European Union’s Horizon 2020 research program under the Marie Skłodowska-Curie Cofund Action, grant agreement no. 754496. The research of G.W. was supported in part by the International Postdoctoral Exchange Fellowship Program from China Postdoctoral Council under Grant No. PC2021066. The work of J.t.H is supported by the Dutch Science Council (NWO) via an ENW-KLEIN-2 project. The work of L.V. has been partly supported by Fellini - Fellowship for Innovation at INFN, funded by the European Union’s Horizon 2020 research program under the Marie Skłodowska-Curie Cofund Action, grant agreement no. 754496. The research of G.W. was supported in part by the International Postdoctoral Exchange Fellowship Program from China Postdoctoral Council under Grant No. PC2021066.
| Funders | Funder number |
|---|---|
| China Postdoctoral Council | PC2021066 |
| Dutch Research Council Planetary and Exoplanetary Science program | |
| Galileo Galilei Institute for Theoretical Physics of INFN | |
| Horizon 2020 Framework Programme | 754496 |
| Universität Wien | |
| Erwin Schrödinger International Institute for Mathematics and Physics | |
| Nederlandse Organisatie voor Wetenschappelijk Onderzoek | |
| Instituto Nazionale di Fisica Nucleare |
Keywords
- Factorization
- Higher-Order Perturbative Calculations
- Renormalization Group