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Equilibration of the chiral asymmetry due to finite electron mass in electron-positron plasma

A. Boyarsky1, V. Cheianov1, O. Ruchayskiy2, and O. Sobol3,4,*

  • 1Instituut-Lorentz for Theoretical Physics, Universiteit Leiden, Niels Bohrweg 2, 2333 CA Leiden, Netherlands
  • 2Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen, Denmark
  • 3Institute of Physics, Laboratory for Particle Physics and Cosmology, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
  • 4Physics Faculty, Taras Shevchenko National University of Kyiv, 64/13, Volodymyrska Str., 01601 Kyiv, Ukraine

  • *oleksandr.sobol@epfl.ch
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Phys. Rev. D 103, 013003 – Published 11 January, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.013003

Abstract

We calculate the rate of collisional decay of the axial charge in an ultrarelativistic electron-positron plasma, also known as the chirality flipping rate. We find that contrary to the existing estimates, the chirality flipping rate appears already in the first order in the fine-structure constant α and is therefore orders of magnitude greater than previously believed. The main channels for the rapid relaxation of the axial charge are the collinear emission of a weakly damped photon and the Compton scattering. The latter contributes to the O(α) result because of the infrared divergence in its cross section, which is regularized on the soft scale ∼eT due to the thermal corrections. Our results are important for the description of the early Universe processes (such as leptogenesis or magnetogenesis) that affect differently left- and right-chiral fermions of the Standard Model, as discussed in more details in the companion Letter.

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See Also

Evolution of the Primordial Axial Charge across Cosmic Times

A. Boyarsky, V. Cheianov, O. Ruchayskiy, and O. Sobol
Phys. Rev. Lett. 126, 021801 (2021)

Article Text

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Phys. Rev. D 103, 013003– Published 11 January, 2021
  • Received 1 August 2020
  • Accepted 7 December 2020
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