Non-Abelian electric field correlator at NLO for dark matter relic abundance and quarkonium transport

Binder, Tobias; Mukaida, Kyohei; Scheihing-Hitschfeld, Bruno; Yao, Xiaojun

doi:10.1007/jhep01(2022)137

Title: Non-Abelian electric field correlator at NLO for dark matter relic abundance and quarkonium transport

Journal Article · 24 January 2022 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep01(2022)137 · OSTI ID:1923033

Binder, Tobias ^[1]; Mukaida, Kyohei ^[2];

^[3];

^[3]

Univ. of Tokyo, Chiba (Japan); Massachusetts Institute of Technology (MIT), Cambridge, MA (United States)
IPNS, KEK, Ibaraki (Japan); Graduate Univ. for Advanced Studies (Sokendai), Ibaraki (Japan)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

We perform a complete next-to-leading order calculation of the non-Abelian electric field correlator in a SU(N_c) plasma, which encodes properties of the plasma relevant for heavy particle bound state formation and dissociation, and is different from the correlator for the heavy quark diffusion coefficient. The calculation is carried out in the real-time formalism of thermal field theory and includes both vacuum and finite temperature contributions. By working in the R_ξ gauge, we explicitly show the results are gauge independent, infrared and collinear safe. The renormalization group equation of this electric field correlator is determined by that of the strong coupling constant. Our next-to-leading order calculation can be directly applied to any dipole singlet-adjoint transition of heavy particle pairs. For example, it can be used to describe dissociation and (re)generation of heavy quarkonia inside the quark-gluon plasma well below the melting temperature, as well as heavy dark matter pairs (or charged co-annihilating partners) in the early universe.

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Research Organization:: Massachusetts Institute of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: MEXT Leading Initiative for Excellent Young Researchers; USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0011090

OSTI ID:: 1923033

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2022; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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