Master formulas for N -photon tree level amplitudes in plane wave backgrounds

Patrick Copinger; James P. Edwards; Anton Ilderton; Karthik Rajeev

doi:10.1103/physrevd.109.065003

Master formulas for N -photon tree level amplitudes in plane wave backgrounds

Patrick Copinger
, James P. Edwards
, Anton Ilderton
, Karthik Rajeev

University of Edinburgh

Research output: Contribution to journal › Article › peer-review

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Abstract

The presence of strong electromagnetic fields adds huge complexity to QED Feynman diagrams, such that new methods are required to calculate higher-loop and higher-multiplicity scattering amplitudes. Here we use the worldline formalism to present "master formulas"for all tree level amplitudes of two massive particles and an arbitrary number of photons, in a plane wave background, in both scalar and spinor QED. The plane wave is treated without approximation throughout, meaning in particular that our formulas are valid in the strong-field regime of current theoretical and experimental interest. We check our results against literature expressions obtainable at low multiplicity via direct Feynman diagram calculations.

Original language	English
Article number	065003
Journal	Physical Review D
Volume	109
Issue number	6
DOIs	https://doi.org/10.1103/physrevd.109.065003
Publication status	Published - 4 Mar 2024

ASJC Scopus subject areas

Nuclear and High Energy Physics

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PhysRevD.109.065003Final published version, 483 KB

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abstract = "The presence of strong electromagnetic fields adds huge complexity to QED Feynman diagrams, such that new methods are required to calculate higher-loop and higher-multiplicity scattering amplitudes. Here we use the worldline formalism to present {"}master formulas{"}for all tree level amplitudes of two massive particles and an arbitrary number of photons, in a plane wave background, in both scalar and spinor QED. The plane wave is treated without approximation throughout, meaning in particular that our formulas are valid in the strong-field regime of current theoretical and experimental interest. We check our results against literature expressions obtainable at low multiplicity via direct Feynman diagram calculations.",

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AU - Edwards, James P.

AU - Ilderton, Anton

AU - Rajeev, Karthik

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N2 - The presence of strong electromagnetic fields adds huge complexity to QED Feynman diagrams, such that new methods are required to calculate higher-loop and higher-multiplicity scattering amplitudes. Here we use the worldline formalism to present "master formulas"for all tree level amplitudes of two massive particles and an arbitrary number of photons, in a plane wave background, in both scalar and spinor QED. The plane wave is treated without approximation throughout, meaning in particular that our formulas are valid in the strong-field regime of current theoretical and experimental interest. We check our results against literature expressions obtainable at low multiplicity via direct Feynman diagram calculations.

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Master formulas for N -photon tree level amplitudes in plane wave backgrounds

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