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Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions

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arxiv 1808.03288 v3 pith:7NDD7DBS submitted 2018-08-09 hep-th gr-qc

classification hep-thgr-qc
keywords quantumclassicalresultsamplitudesdimensionsfourlogarithmicloop
verification ladder T0 review T1 audit T2 compute T3 formal
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We explore the logarithmic terms in the soft theorem in four dimensions by analyzing classical scattering with generic incoming and outgoing states and one loop quantum scattering amplitudes. The classical and quantum results are consistent with each other. Although most of our analysis in quantum theory is carried out for one loop amplitudes in a theory of (charged) scalars interacting via gravitational and electromagnetic interactions, we expect the results to be valid more generally.

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Cited by 9 Pith papers

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