Rate and ellipticity of dilepton production in a magnetized quark-gluon plasma

Abstract

Using the Landau-level representation for the imaginary part of the photon polarization tensor, we derive an explicit expression for the dilepton production rate from a hot quark-gluon plasma in a quantizing background magnetic field. We study in detail the dependence of the production rate on the dilepton invariant mass and the transverse momentum at mid-rapidity. We also investigate the angular dependence and ellipticity of dilepton emission. By comparing the result with the zero-field Born approximation, we find that the magnetic field leads to a strong enhancement of the dilepton rate at small values of the invariant mass ($M\lesssim \sqrt{|eB|}$). In the same kinematic region, the dilepton production is characterized by a sizable ellipticity. At large values of the dilepton invariant mass ($M\gtrsim \sqrt{|eB|}$), the role of the magnetic field decreases and the result approaches the isotropic zero-field Born rate. By investigating the dependence of ellipticity on the transverse momentum, we argue that the future measurements of dilepton rate in the region of small invariant masses can constrain the magnetic field produced in heavy-ion collisions.

13 pages, 7 multi-panel figures; v3: the final version to appear in Physical Review D

References in corpus (4)

• Effects of anomalous magnetic moment of quarks on the dilepton production from hot and dense magnetized quark matter using the NJL model
• Dilepton production from magnetized quark matter with an anomalous magnetic moment of the quarks using a three-flavor PNJL model
• Photon polarization tensor in a magnetized plasma: Absorptive part
• Hard dilepton production from a weakly magnetized hot QCD medium

Cited by in corpus (14)

• Lepton pair production from a hot and dense QCD medium in the presence of an arbitrary magnetic field
• Impact of chiral asymmetry and magnetic field on passage of an energetic test parton in a QCD medium
• Anisotropic photon emission from gluon fusion and splitting in a strong magnetic background I: The two-gluon one-photon vertex
• Revisiting shear stress tensor evolution: Non-resistive magnetohydrodynamics with momentum-dependent relaxation time
• The fermion self-energy and damping rate in a hot magnetized plasma
• Dilepton production from hot and magnetized hadronic matter
• Circularly polarized photon emission from magnetized chiral plasmas
• Electric and magnetic conductivities in magnetized fermion systems
• Photon and dilepton emission anisotropy for a magnetized quark-gluon plasma
• Ellipticity of dilepton production from a hot and magnetized hadronic medium
• Scalar boson emission from a magnetized relativistic plasma
• Two-gluon one-photon vertex in a magnetic field and its explicit one-loop approximation in the intermediate field strength regime
• Interaction field strength between a scalar particle and two massless vector bosons in presence of an external magnetic field
• Photon emission from weakly magnetized neutral pions