Lighting up the Photon Wigner Distribution via Dilepton Productions

We present a systematic investigation of lepton pair production through photon-photon fusion processes in heavy-ion collisions. It is demonstrated that the dilepton production at a given impact parameter (b_) with a fixed transverse momentum imbalance (q_) can be factorized into a unified formula in terms of the Wigner photon distribution of heavy nuclei. We show that this framework provides a comprehensive description of all the relevant data from RHIC to the LHC, with a strong evidence that the quasi-real photon can be radiated not only from the nucleus as a whole, standing for the coherent contribution, but also from the sub-structures inside the nucleus, representing the incoherent contribution. Further predictions are made for the anisotropies in the correlations between q_, b_, and the dilepton transverse momentum (P_). This will help us to constrain the photon Wigner distribution which plays a crucial role to study the gluonic matter of nucleus at small-x through the diffractive photoproduction processes in heavy ion collision.