Measuring chiral imbalance with collisional energy loss

Abstract

We compute the collisional energy loss of an {energetic} massive fermion crossing a chiral plasma at finite temperature characterized by an imbalance between the populations of left-handed and right-handed fermions. We find a new contribution to the energy loss which is proportional to the helicity of the test fermion and depends on the amount of chiral imbalance in the plasma. We then compute the difference between the energy loss of a fermion with the two opposite helicities, to assess whether this could be used to quantify the chiral imbalance in the plasma. We find that the leading contribution to these helicity-dependent energy loss contributions comes from the exchange of hard photons (or gluons for QCD) with the medium constituents, and in some scenarios can become comparable to the leading-order result for a plasma without any chiral imbalance. We also evaluate the contribution arising from soft photon exchange, which is a subleading effect, and requires regularization. We illustrate how dimensional regularization is a well suited prescription to be applied to these energy loss computations.

arXiv comment23 pages, 1 figure. v2: expanded discussion, typos fixed. matches published version

References in corpus (28)

• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• The Chiral Magnetic Effect and Anomaly-Induced Transport
• The theory and phenomenology of perturbative QCD based jet quenching
• Jet quenching in high-energy heavy-ion collisions
• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• Chiral Plasma Instabilities
• Introductory lectures on jet quenching in heavy ion collisions
• Collisional energy loss of a fast heavy quark in a quark-gluon plasma
• Non-relativistic bound states at finite temperature (I): the hydrogen atom
• Momentum Broadening in an Anisotropic Plasma
• Kinetic theory of chiral relativistic plasmas and energy density of their gauge collective excitations
• Braaten-Pisarski Method at Finite Chemical Potential
• Energy losses in a hot plasma revisited
• Collisional Energy Loss of a Heavy Quark in an Anisotropic Quark-Gluon Plasma
• The QCD collisional energy loss revised
• Jet quenching and broadening: the transport coefficient $\hat{q}$ in an anisotropic plasma
• Energy Loss of a Heavy Fermion in an Anisotropic QED Plasma
• Non-relativistic bound states in a moving thermal bath
• Consistent Relativistic Chiral Kinetic Theory: a derivation from OSEFT
• Collisional Energy Loss of a Fast Muon in a Hot QED Plasma
• Non-relativistic bound states at finite temperature (II): the muonic hydrogen
• Dispersion Relations in Ultradegenerate Relativistic Plasmas
• Real-time Chern-Simons term for hypermagnetic fields
• Chiral kinetic theory from the on-shell effective theory: derivation of collision terms
• Power corrections to the HTL effective Lagrangian of QED
• The HTL Lagrangian at NLO: the photon case
• Radiative instability of quantum electrodynamics in chiral matter
• Damping rate of a fermion in ultradegenerate chiral matter

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• Unraveling collisional energy loss of a heavy quark in quark-gluon plasma
• Dilepton production from chirally asymmetric matter
• Energy loss of a heavy fermion in a collisional QED plasma
• Bremsstrahlung in chiral medium: anomalous magnetic contribution to the Bethe-Heitler formula
• The mass and spectral function of scalar and pseudoscalar mesons in a hot and chirally imbalanced medium using the two-flavor NJL model
• Accounting for plasma constituent mass effects in heavy fermion energy loss calculations in hot QED and QCD
• Shear and bulk viscous coefficients of a hot and chirally imbalanced quark matter using NJL model
• Effect of chiral imbalance on the electrical conductivity of hot and dense quark matter using Green-Kubo Method within the 2-flavour gauged NJL model
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