Non-Abelian Electric Field Correlator at NLO for Dark Matter Relic Abundance and Quarkonium Transport [CL]

http://arxiv.org/abs/2107.03945


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. 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 $R_\xi$ gauge, we explicitly show the results are gauge independent, infrared and collinear safe. The previous results on the renormalization of the electric field correlator are also confirmed. 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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T. Binder, K. Mukaida, B. Scheihing-Hitschfeld, et. al.
Fri, 9 Jul 21
49/62

Comments: 77 pages, 13 figures