Work

Three loop master integrals for $$\mathcal{O}\left(\alpha {\alpha }_{s}^{2}\right)$$ corrections to quark form factor

Year: 2025

Type: article

Abstract: A bstract We consider the three-loop mixed strong-electroweak $$\left(\mathcal{O}\left(\alpha {\alpha }_{s}^{2}\right)\right)$$ corrections to the quark form factor. We compute the master integrals which are appearing in the Feynman diagrams containing a single massive boson in the loop. We use the state-of-the-art method of differential equations to compute all 303 of them, expressing the results in terms of generalized polylogarithms. We encounter multiple square roots that cannot be simultaneously rationalized using a single transformation. Applying concurrent transformations allows us to express the results through generalized polylogarithms with a simple alphabet, but with multiple interdependent arguments.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep10(2025)233

Authors: Tanmoy Pati, Narayan Rana

Institutions: National Institute of Science Education and Research, Homi Bhabha National Institute

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: CERN, Universität Hamburg, Science and Engineering Research Board

Award: G2713658437