Work

Bootstrapping a Two-Loop Four-Point Form Factor

Year: 2021

Type: article

Abstract: We compute the two-loop four-point form factor of a length-3 half-BPS operator in planar N=4 SYM theory, which belongs to the class of two-loop five-point scattering observables with one off-shell color-singlet leg. A new bootstrapping strategy is developed to obtain this result by starting with an ansatz expanded in terms of master integrals and then solving the master coefficients via various physical constraints. We find that consistency conditions of infrared divergences and collinear limits, together with the cancellation of spurious poles, can fix a significant part of the ansatz. The remaining degrees of freedom can be fixed by one simple type of two-double unitarity cut. Full analytic results in terms of both symbol and Goncharov polylogarithms are provided.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.127.151602

Authors: Yuanhong Guo, Lei Wang, Gang Yang

Institutions: Chinese Academy of Sciences, Institute of Theoretical Physics, University of Chinese Academy of Sciences, International Centre for Theoretical Physics Asia-Pacific

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,750

Funders: National Natural Science Foundation of China, Chinese Academy of Sciences, Key Research Program of Frontier Science, Chinese Academy of Sciences