Analytic two-loop four-point form factor of the stress-tensor supermultiplet in $$ \mathcal{N} $$ = 4 SYM
Year: 2025
Type: article
Abstract: A bstract We compute the two-loop four-point MHV form factor of the stress-tensor supermultiplet in planar $$ \mathcal{N} $$ N = 4 super Yang-Mills (SYM). This form factor is analogous to the Higgs plus four-gluon amplitudes in the heavy-top limit of QCD when translated to the $$ \mathcal{N} $$ N = 4 SYM context. We obtain the full D -dimensional integrands up to two loops via unitarity-cut methods. Subsequently, we utilize IBP reduction to express the result in terms of a set of uniformly transcendental basis integrals, incorporating the two-loop non-planar five-point one-mass integrals recently given by Abreu et al. [PRL 132 (2024) 14]. We obtain the two-loop finite remainder in the functional form in terms of the pentagon functions. The symbol of our remainder confirms the bootstrap results reported by Dixon et al. [PRL 130 (2023) 11]. We perform various non-trivial checks of our results, including the triple-collinear limit, which recovers the two-loop six-gluon remainder. We also show that the form factor has a directional dual conformal symmetry at the integrand level. Our results are expected to shed further light on the study of antipodal dualities and the computation of Higgs plus four-parton amplitudes in QCD.
Source: Journal of High Energy Physics
Authors: Yuanhong Guo, Lei Wang, Gang Yang, Yixiong Yin
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4407165286