Dilepton Helical Production in a Vortical Quark-Gluon Plasma

Abstract

In this paper, we propose an observable counting a weighted difference between right-handed and left-handed lepton pairs, which is coined dilepton helical rate. The weight is the momentum difference of the lepton pairs projected onto an auxiliary vector. We derive the helical rate in a quark-gluon plasma with a vorticity in the limit when the quark and lepton masses are ignored. We find the helical rate is maximized when the auxiliary vector is parallel to the vorticity, in which case it has a nearly spherical oblate ellipsoidal distribution. We propose that it can be used as a vortical-meter for quark-gluon plasma.

19 pages, 4 figures

References in corpus (20)

• Angular momentum conservation in heavy ion collisions at very high energy
• Polarization probes of vorticity in heavy ion collisions
• Collective longitudinal polarization in relativistic heavy-ion collisions at very high energy
• Global quark polarization in non-central $A+A$ collisions
• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
• Mass Correction to Chiral Kinetic Equations
• A hydrodynamic study of hyperon spin polarization in relativistic heavy ion collisions
• Electromagnetic radiation by quark-gluon plasma in magnetic field
• Photon decay in strong magnetic field in heavy-ion collisions
• Ideal spin hydrodynamics from Wigner function approach
• Dilepton production from a viscous QGP
• Quantum Kinetic Theory for Quantum Electrodynamics
• Effect of thermal shear on longitudinal spin polarization in a thermal model
• Photon polarization as a probe for quark-gluon plasma dynamics
• Polarization tensor of magnetized quark-gluon plasma at nonzero baryon density
• Massless Limit of Transport Theory for Massive Fermions
• Quantum Kinetic Theory with Vector and Axial Gauge Fields
• Production rate and ellipticity of lepton pairs from a rotating hot and dense QCD medium
• Polarization of Direct Photons from Gluon Anisotropy in Ultrarelativistic Heavy Ion Collisions

Cited by in corpus (5)

• Hydrodynamics, spin currents and torsion
• Spin polarization dynamics in the non-boost-invariant background
• In-medium Electromagnetic Form Factors and Spin Polarizations
• Vorticity-induced effects from Wess-Zumino-Witten terms
• Rotation induced color confinement