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Three loop master integrals for$$\\mathcal{O}\\left(\\alpha {\\alpha }_{s}^{2}\\right)$$corrections to quark form factor
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Three loop master integrals for$$\\mathcal{O}\\left(\\alpha {\\alpha }_{s}^{2}\\right)$$corrections to quark form factor
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Journal Article
Three loop master integrals for$$\\mathcal{O}\\left(\\alpha {\\alpha }_{s}^{2}\\right)$$corrections to quark form factor
2025
Overview
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.
Publisher
SpringerOpen
