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arXiv · 2111.06861

Celestial IR divergences in general most-subleading-color gluon and gravity amplitudes

Horatiu Nastase·Francisco Rojas·Carlos Rubio
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Abstract

Gluon amplitudes at most-subleading order in the $1/N$ expansion share a remarkable simplicity with graviton amplitudes: collinear divergences are completely absent in both and, as a consequence, their full IR behavior arises from soft gluon/graviton exchange among the external states. In this paper we study the effect of all-loop IR divergences of celestial most-subleading color gluon amplitudes and their similarities with the celestial gravity case. In particular, a simple celestial exponentiation formula for the dipole part can be written. We also analize how this exponentiation is modified by non-dipole contributions. Finally we also show that, in the Regge limit, the soft factor satisfies the Knizhnik-Zamolodchikov equation hinting at the possibility that, in this limit, an effective Wess-Zumino-Witten model would describe the dynamics of the infrared sector.

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Horatiu Nastase, Francisco Rojas, Carlos Rubio. 2021-11-12. Celestial IR divergences in general most-subleading-color gluon and gravity amplitudes. https://doi.org/10.1007/jhep01(2022)136

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