Probing transverse momentum dependent structures with azimuthal dependence of energy correlators

Kang, Zhong-Bo; Lee, Kyle; Shao, Ding Yu; Zhao, Fanyi

doi:10.1007/jhep03(2024)153

Title: Probing transverse momentum dependent structures with azimuthal dependence of energy correlators

Journal Article · 26 March 2024 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep03(2024)153 · OSTI ID:2453917

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Univ. of California, Los Angeles, CA (United States); Stony Brook Univ., NY (United States)
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
National Natural Science Foundation of China (NSFC), Shanghai (China); Fudan Univ., Shanghai (China)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Univ. of California, Los Angeles, CA (United States)

We study the azimuthal angle dependence of the energy-energy correlators $$\langle \mathcal{E}\left({\widehat{n}}_{1}\right)\mathcal{E}\left({\widehat{n}}_{2}\right)\rangle $$ in the back-to-back region for e⁺e^- annihilation and deep inelastic scattering (DIS) processes with general polarization of the proton beam. We demonstrate that the polarization information of the beam and the underlying partons from the hard scattering is propagated into the azimuthal angle dependence of the energy-energy correlators. In the process, we define the Collins-type EEC jet functions and introduce a new EEC observable using the lab-frame angles in the DIS process. Furthermore, we extend our formalism to explore the two-point energy correlation between hadrons with different quantum numbers $${\mathbb{S}}_{i}$$ in the back-to-back limit $$\langle {\mathcal{E}}_{{\mathbb{S}}_{1}}\left({\widehat{n}}_{1}\right){\mathcal{E}}_{{\mathbb{S}}_{2}}\left({\widehat{n}}_{2}\right)\rangle $$. We find that in the Operator Product Expansion (OPE) region the nonperturbative information is entirely encapsulated by a single number. Using our formalism, we present several phenomenological studies that showcase how energy correlators can be used to probe transverse momentum dependent structures.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: National Natural Science Foundation of China (NSFC); National Science Foundation (NSF); Shanghai Natural Science Foundation; USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-05CH11231; SC0011090; SC0012704

OSTI ID:: 2453917

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2024; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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