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MHV Gluon Scattering in the Massive Scalar Background and Celestial OPE

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arxiv 2302.10245 v4 pith:IL2UL6MT submitted 2023-02-20 hep-th

classification hep-th
keywords theorybackgroundmassivescalarsubleadingamplitudescelestialgluon
verification ladder T0 review T1 audit T2 compute T3 formal
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In this paper we study the OPE between two positive helicity outgoing gluons in the celestial CFT for the Yang-Mills theory chirally coupled to a massive scalar background. This theory breaks the translation as well as scale invariance. We compute the subleading terms in the OPE expansion and show that they are same as the subleading terms of the OPE expansions in the MHV sector. As a result the amplitudes of this theory also satisfy the set of differential equations obtained previously for MHV amplitudes in pure YM theory. This is not surprising because the symmetries coming from the leading and subleading soft gluon theorems do not change in the presence of a massive scalar background.

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  1. Conformal blocks from celestial graviton amplitudes

    hep-th 2025-01 conditional novelty 7.0 of 10

    The authors construct a single-valued celestial four-graviton correlator from the shadow transform, decompose it into conformal blocks in all channels, and show it is the double copy of the corresponding gluon object.

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