Factorization of photon induced processes in ultra-peripheral heavy ion collisions

Abstract

In this study, we investigate photon-photon scattering in ultra-peripheral heavy ion collisions (UPCs). We start by deriving an effective Lagrangian from first principles and then apply factorization techniques from Soft-Collinear effective theory (SCET). This approach allows us to decompose the photon-photon scattering cross-section into two primary factors: the generalized transverse momentum distributions (GTMDs) and the hard scattering amplitude. We further analyze the emission of soft photons by final state leptons, incorporating a soft function into the cross section through an evolution method. Our analysis yields detailed predictions for observable angular correlations among the final state leptons. Specifically, we calculate the angular correlations characterized by the azimuthal parameters $⟨\cos 2\varphi ⟩$ and $⟨\cos 4\varphi ⟩$, highlighting the influence of initial photons polarization and recoil effects from final state soft photons.

References in corpus (31)

• Glauber Modeling in High Energy Nuclear Collisions
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• Estimate of the magnetic field strength in heavy-ion collisions
• Radiative energy loss and $p_{\perp }$-broadening of high energy partons in nuclei
• Event-by-event generation of electromagnetic fields in heavy-ion collisions
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• Event-by-event fluctuations of magnetic and electric fields in heavy ion collisions
• The Muon Anomalous Magnetic Moment: A Harbinger For "New Physics"
• Extracting jet transport coefficient from jet quenching at RHIC and LHC
• STARlight: A Monte Carlo simulation program for ultra-peripheral collisions of relativistic ions
• Parton Saturation at Small x and in Large Nuclei
• Testing new physics with the electron g-2
• The Landau-Pomeranchuk-Migdal effect in QED
• Measurement of an excess in the yield of J/$\psi$ at very low $p_{\mathrm{T}}$ in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Low-$p_T$ $e^{+}{e}^{-}$ pair production in Au$+$Au collisions at $\sqrt{s_{NN}}$ = 200 GeV and U$+$U collisions at $\sqrt{s_{NN}}$ = 193 GeV at STAR
• Bjorken flow in one-dimensional relativistic magnetohydrodynamics with magnetization
• A light complex scalar for the electron and muon anomalous magnetic moments
• Effective field theory interpretation of lepton magnetic and electric dipole moments
• Observation of centrality-dependent acoplanarity for muon pairs produced via two-photon scattering in Pb+Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV with the ATLAS detector
• A new approach to modelling elastic and inelastic photon-initiated production at the LHC: SuperChic 4
• Event-by-event distribution of magnetic field energy over initial fluid energy density in $\sqrt{s_{\mathrm{NN}}}$= 200 GeV Au-Au collisions
• Determining the leading-order contact term in neutrinoless double $\mathbf{\beta }$ decay
• Acoplanarity of Lepton Pair to Probe the Electromagnetic Property of Quark Matter
• Impact parameter dependence of the azimuthal asymmetry in lepton pair production in heavy ion collisions
• Electron and Muon Anomalous Magnetic Moments in the Inverse Seesaw Extended NMSSM
• A Light Scalar Explanation of $(g-2{)}_{\mu }$ and the KOTO Anomaly
• Light-by-light-type corrections to the muon anomalous magnetic moment at four-loop order
• Electron contribution to the muon anomalous magnetic moment at four loops
• Lepton pair photoproduction in peripheral relativistic heavy-ion collisions
• Azimuthal asymmetries of muon pair production in ultraperipheral heavy ion collisions
• Factorization and transverse phase-space parton distributions