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Asymptotic Symmetries and Subleading Soft Photon Theorem in Effective Field Theories
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abstract
In [1,2] it was shown that the subleading soft photon theorem in tree level amplitudes in massless QED is equivalent to a new class of symmetries of the theory parameterized by a vector field on the celestial sphere. In this paper, we extend these results to the subleading soft photon theorem in any Effective Field Theory containing photons and an arbitrary spectrum of massless particles. We show that the charges associated to the above class of symmetries are sensitive to certain three point functions of the theory and are corrected by irrelevant operators of specific dimensions. Our analysis shows that the subleading soft photon theorem in any tree level scattering amplitude is a statement about asymptotic symmetries of the ${\cal S}$-matrix.
Forward citations
Cited by 4 Pith papers
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In Maxwell theory, asymptotically charged edge modes (soft edges) pull asymptotic symmetries and soft data into finite subregions, giving finite-distance corner charges without an infinite-volume limit.
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The celestial sphere is extended to a supermanifold C^{1|N}, yielding universal supersymmetric extensions of the BMS and w_{1+8} symmetry algebras of flat-space quantum gravity.
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Running soft theorems in effective field theory
At one loop, the finite subleading parts of the soft photon and double-soft pion theorems carry Wilson coefficients whose RG running is dictated by the same EFT beta functions, while log terms remain universal.
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Massless scattering amplitudes, including gravitons, can be recast as correlators of a carrollian conformal field theory on null infinity, but the non-perturbative bootstrap program remains incomplete.
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