Abstract
In this paper we perform a systematic study of the exclusive dilepton production by gamma gamma interactions in PbPb collisions at the LHC Run 2 energies considering different levels of precision for the treatment of the absorptive corrections and for the nuclear form factor. The rapidity and invariant mass distributions are estimated taking into account the experimental cutoffs and a comparison with the recent ALICE and ATLAS data for the e^+ e^- and mu ^+ mu ^- production is presented.
Highlights
Let’s present a brief review of the main formulas to describe the exclusive dilepton production by γ γ interac
Considering the Equivalent Photon Approximation (EPA) [5,6,7,8,9,10,11,12,13,22] and assuming the impact parameter representation, one has that the total cross section for this process can be written as σ PbPb → Pb ⊗ l+l− ⊗ Pb; s
√⊗ characterizes a rapidity gap in the final state and W = 4ω1ω2 is the invariant mass of the γ γ system
Summary
We have that the main difference is that the description of the absorptive factor given by Eq (6) implies a smooth transition between the small (b 2R) and large (b 2R) impact parameter behaviours In this calculation we have assumed a point - like form factor (F = 1) and bimin = R (i = 1, 2).
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