Multicollinear singularities in celestial CFT

Journal Article · Wed Feb 28 00:00:00 EST 2024 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP02(2024)219· OSTI ID:2570460

Ball, Adam ^[1]; Hu, Yangrui ^[2]; Pasterski, Sabrina ^[2]

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1. Brown Univ., Providence, RI (United States); Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
2. Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)

The purpose of this paper is to study the holomorphic multicollinear limit of (celestial) amplitudes and use it to further investigate the double residue condition for (hard celestial) amplitudes and the celestial operator product expansion. We first set up the notion of holomorphic multicollinear limits of amplitudes and derive the 3-collinear splitting functions for Yang-Mills theory, Einstein gravity, and massless ϕ³ theory. In particular, we find that in ϕ³ theory the celestial 3-OPE contains a term with a branch cut. This explicit example confirms that branch cuts can obstruct the double residue condition for hard celestial amplitudes, which is the underlying cause of the celestial Jacobi identities not holding for certain theories. This addresses an ongoing debate in the literature about associativity of the celestial OPEs and concretely demonstrates a new (multi-particle) term in the celestial OPE coming from the multi-particle channel in the amplitudes.

• Research Organization: Brown University, Providence, RI (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0010010
• OSTI ID: 2570460
• Journal Information: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 2 Vol. 2024; ISSN 1029-8479
• Publisher: Springer Nature
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
duality in gauge field theories
scattering amplitudes