Elastic scattering of virtual photons via quark loop in Double-Logarithmic Approximation

Abstract

We calculate the amplitude of elastic photon-photon scattering via a single quark loop in the Double-Logarithmic Approximation, presuming all external photons to be off-shell and unpolarized.. At the same time we account for the running coupling effects. We consider this process in the forward kinematics at arbitrary relations between t and the external photon virtualities. We obtain explicit expressions for the photon-photon scattering amplitudes in all double-logarithmic kinematic regions. Then we calculate the small-x asymptotics of the obtained amplitudes and compare them with the parent amplitudes, thereby fixing the applicability regions of the asymptorics, i.e. fixing the applicability region for the non-vacuum Reggeons. We find that these Reggeons should be used at x < 10^{-8} only.

18 pages, 7 figures misprints and typos corrected

References in corpus (4)

• Evidence for light-by-light scattering in heavy-ion collisions with the ATLAS detector at the LHC
• BFKL resummation effects in the gamma* gamma* total hadronic cross section
• ${\gamma }^{\ast }{\gamma }^{\ast }$ Cross Section at NLO and Properties of the BFKL Evolution at Higher Orders
• The ${\gamma }^{\ast }{\gamma }^{\ast }$ total cross section in next-to-leading order BFKL and LEP2 data

Cited by in corpus (3)

• Hunting BFKL in semi-hard reactions at the LHC
• Combining the small-x evolution and DGLAP for description of inclusive photon induced processes
• Light-by-light scattering in Double-Logarithmic Approximation