Abstract

This paper investigates the electromagnetic production of lepton pairs with low transverse momentum in relativistic heavy ion collisions. We estimate the initial photons' transverse momentum contributions by employing models where the average transverse momentum squared of the incoming photon can be calculated in the equivalent photon approximation. We further derive an all order QED resummation for the soft photon radiation, which gives an excellent description of the ATLAS data in ultra-peripheral collisions at the LHC. For peripheral and central collisions, additional $p_T$-broadening effects from multiple interaction with the medium and the magnetic field contributions from the quark-gluon plasma are also discussed.

Highlights

  • There have been strong interests in the electromagnetic process of dilepton production in two-photon scattering in heavy-ion collisions in the last few years [1,2,3,4,5]

  • This paper investigates the electromagnetic production of lepton pairs with low total transverse momentum in relativistic heavy-ion collisions

  • We introduce the so-called generalized transverse momentum dependent (GTMD) photon distributions in the momentum space, Z Γijðx; kT ; Δ⊥Þ 1⁄4

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Summary

INTRODUCTION

There have been strong interests in the electromagnetic process of dilepton production in two-photon scattering in heavy-ion collisions in the last few years [1,2,3,4,5]. The STAR Collaboration studied pair production at low pT, pT < 200 MeV/c in gold-gold and uranium-uranium collisions [2], found evidence for momentum broadening, with pT spectra different from calculations without inmedium effects [32,33,34,35] This broadening could be attributed to in-medium scattering of the produced leptons, but first, it is necessary to account for possible changes to the pT spectrum due to changes in the impact-parameter distribution, as induced by either additional photon exchange or hadronic interactions. To better understand these developments from STAR and ATLAS, we study the acoplanarity of lepton pairs in heavyion collisions.

LEADING ORDER PICTURE
Impact parameter dependent photon fluxes
Transverse momentum dependence in the photon fluxes
Photon-photon interaction rate in heavy ion collisions
Generalized equivalent photon approximation
Numerical results in the GEPA framework
Comparison with the UPC data from ATLAS
MEDIUM INTERACTIONS WITH LEPTONS
Inclusion of medium effects
Implication from the ATLAS measurements
Comparison with the QCD pT-broadening of jets
NcðN2c
Comments on the QED energy loss
MAGNETIC FIELD EFFECTS
Initial electromagnetic fields contributions
Residual magnetic field effects in the quark-gluon plasma
SUMMARY AND DISCUSSIONS
Lab frame calculations
Findings
Lepton frame formulation
Full Text
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