Abstract
In view of the increasing precision of theoretical calculations and experimental measurements, power corrections to transverse-momentum-dependent observables are highly important. We study the next-to-leading power corrections for transverse momentum measurements in e+e− → 2 jets. We obtain a factorized expression for the cross section, which involve twist-2 and twist-3 operators, and identify the new jet functions that appear in it. We calculate these jet functions at order αs for a family of recoil-free schemes, and provide the corresponding anomalous dimensions at leading order. Additionally, we show that the (endpoint) divergences that typically arise in sub-leading-power factorization can be subtracted and cancel for our case. By working with jets, everything is perturbatively calculable and there are substantial simplifications compared to the general next-to-leading power framework. Importantly, our analysis with jets can be extended to semi-inclusive deep-inelastic scattering, with the future Electron-Ion Collider as key application.
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Acknowledgments
We thank Lorenzo Zoppi for collaborating in early stages of this project, and Anjie Gao, Johannes Michel and Alexey Vladimirov for discussions on TMDs at next-to-leading power. This project is supported by the Spanish Ministry grant PID2019-106080GB-C21 and PID2022- 136510NB-C31, European Union Horizon 2020 research and innovation program under grant agreement num. 824093 (STRONG-2020), the NWO projectruimte 680-91-122, and the D-ITP consortium, a program of NWO that is funded by the Dutch Ministry of Education, Culture and Science (OCW).
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del Castillo, R.F., Jaarsma, M., Scimemi, I. et al. Transverse momentum measurements with jets at next-to-leading power. J. High Energ. Phys. 2024, 74 (2024). https://doi.org/10.1007/JHEP02(2024)074
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DOI: https://doi.org/10.1007/JHEP02(2024)074