Photon-photon scattering: A Tutorial

  title={Photon-photon scattering: A Tutorial},
  author={Yi Liang and Andrzej Czarnecki},
  journal={Canadian Journal of Physics},
Long-established results for low-energy photon-photon scattering, gg → gg, have recently been questioned. We analyze that claim and demonstrate that it is inconsistent with experience. We demonstrate that the mistake originates from an erroneous manipulation of divergent integrals and discuss the connection with another recent claim about the Higgs de- cay into two photons. We show a simple way of correctly computing low-energy gg scattering. 

Figures from this paper

On Unparticle Searches through Photon-Photon Scattering
In this work, we study the effects of the spin-0 unparticle on γγ → γγ process. From the numerical results, we show that the cross section with unparticle effect should be about 1027 - 1030 timesExpand
Photon-photon scattering and tests of gauge invariance
We consider the phenomenology of a dimension-four operator that violates electromagnetic gauge invariance. Its magnitude is severely constrained by the lack of scattering of very low energyExpand
Polarization effects in light-by-light scattering: Euler-Heisenberg versus Born-Infeld
The angular dependence of the differential cross-section of unpolarized light-by-light scattering summed over final polarizations is the same in any low-energy effective theory of quantumExpand
Once more on the Higgs decay into two photons
Abstract We comment on the recently reiterated claim that the contribution of the W-boson loop to the Higgs boson decay into two photons leads to different expressions in the R ξ gauge and theExpand
Higgs decay into two photons : a recent discussion
We reanalyze the recent computation of the amplitude of the Higgs boson decay into two photons presented by Gastmans et al. [1, 2]. The reasons for which this result cannot be the correct one haveExpand
On refractive processes in strong laser field quantum electrodynamics
Abstract Refractive processes in strong-field QED are pure quantum processes, which involve only external photons and the background electromagnetic field. We show analytically that such processesExpand
Probing the quantum vacuum with petawatt lasers
Due to the bosonic nature of the photon, increasing the peak intensity through a combination of raising the pulse energy and decreasing the pulse duration will pile up more and more photons withinExpand
Photon masses in the landscape and the swampland
  • M. Reece
  • Physics
  • Journal of High Energy Physics
  • 2019
Abstract In effective quantum field theory, a spin-1 vector boson can have a technically natural small mass that does not originate from the Higgs mechanism. For such theories, which may beExpand
The QED four -- photon amplitudes off-shell: part 1
The QED four-photon amplitude has been well-studied by many authors, and on-shell is treated in many textbooks. However, a calculation with all four photons offshell is presently still lacking,Expand
H → γγ: a comment on the indeterminacy of non-gauge-invariant integrals
We reanalyze the recent computation of the amplitude of the Higgs boson decay into two photons presented by Gastmans et al. [1, 2]. The reasons for why this result cannot be the correct one have beenExpand


Comment on : A Proposal to Measure Photon-Photon Scattering
I comment on a recent preprint "A Proposal to Measure Photon-Photon Scattering" that appeared recently as arXiv:1106.0465v1 [hep-ph].
On the low-energy limit of the QED N-photon amplitudes
Abstract We derive an explicit formula for the low energy limits of the one-loop on-shell massive N -photon amplitudes, for arbitrary N and all helicity assignments, in scalar and spinor QED. TheExpand
Scattering of Light by Light
IN a recent paper1 Euler and Kockel have calculated the effective cross-section for the scattering of light by light. The calculation was carried out for the case of small frequencies (ħω ≪ mc2), theExpand
Higgs Decay to Two Photons
The amplitude for Higgs decay to two photons is calculated in renormalizable and unitary gauges using dimensional regularization at intermediate steps. The result is finite, gauge independent, and inExpand
A Proposal to Measure Photon-Photon Scattering
We discuss a possibility to measure the photon-photon scattering cross section at low energy in a theoretical standpoint. The cross section of photon-photon scattering at low energy can be written asExpand
Higgs Decay into Two Photons, Revisited
The one-loop calculation of the amplitude for the Higgs decay H-->\gamma\gamma\ due to virtual W's in the unitary gauge is presented. As the Higgs does not directly couple to the massless photons,Expand
Higgs Decay into Two Photons through the W-boson Loop: No Decoupling in the $m_W$ -> 0 Limit
We reanalyze the W-boson loop in the amplitude of the Higgs decay into two photons to show the absence of decoupling in the limit of massless W bosons, m_W --> 0. The Higgs coupling to longitudinalExpand
Nonlinear effects in quantum electrodynamics
SummaryThe fourth-rank vacuum polarization tensor, which is related to the lowest-order nonlinear interaction between four electromagnetic fields in quantum electrodynamics, is exactly calculated inExpand
Particles, Sources and Fields
Electrodynamics * Two-Particle Interactions. Non-relativistic Discussion * Two-Particle Interactions. Relativistic Theory I * Two-Particle Interactions. Relativistic Theory II * Photon PropagationExpand
Light-Light Scattering
For a long time, it is believed that the light by light scattering is described properly by the Lagrangian density obtained by Heisenberg and Euler. Here, we present a new calculation which is basedExpand