Year: 2023
Type: article
Abstract: We present analytic results of the two-loop master integrals for hadronic tW production that contain two massive propagators. For the planar integral family, we succeed in constructing the canonical basis, so the results are written in terms of multiple polylogarithms. The master integrals in the non-planar integral families have been calculated by Taylor series expansion around $$ {m}_W^2 $$ m W 2 = 0. Even with this simplification, there are multiple square roots involved in the differential equations, which can not be rationalized simultaneously. We find that a proper linear combination of the integral basis alleviates the problem so that the results are expressed by multiple polylogarithms or single integrals over multiple polylogarithms up to weight four. These single integrals can be evaluated using the classic Newton-Cotes formulas. Our analytic results of master integrals would be used in the computation of the two-loop amplitudes for tW production.
Source: Journal of High Energy Physics
Authors: Jian Wang, Yefan Wang
Institution: Shandong University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Awards: G2420142480, G5996701402
OpenAlex ID: W4320728938