N3LO calculation of the B to Xs gamma photon spectrum including complete light-fermion corrections, two massive fermion loops, and large-Nc terms, with improved results in kinetic and MSR mass schemes.
The package HarmonicSums: Computer Algebra and Analytic aspects of Nested Sums
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abstract
This paper summarizes the essential functionality of the computer algebra package HarmonicSums. On the one hand HarmonicSums can work with nested sums such as harmonic sums and their generalizations and on the other hand it can treat iterated integrals of the Poincare and Chen-type, such as harmonic polylogarithms and their generalizations. The interplay of these representations and the analytic aspects are illustrated by concrete examples.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Bootstrap using labelled f-graphs, double-triangle and triangle rules, integrated correlators, and 10D hidden symmetry uniquely fixes three-loop mixed GGOO correlators in N=4 SYM, reproducing known two-loop results and yielding new three-loop terms for the maximal determinant operator.
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The photon-energy spectrum in $B\to X_s\gamma$ to N$^3$LO: light-fermion and large-$N_{\rm c}$ corrections
N3LO calculation of the B to Xs gamma photon spectrum including complete light-fermion corrections, two massive fermion loops, and large-Nc terms, with improved results in kinetic and MSR mass schemes.
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Bootstrapping Giant Graviton Correlators
Bootstrap using labelled f-graphs, double-triangle and triangle rules, integrated correlators, and 10D hidden symmetry uniquely fixes three-loop mixed GGOO correlators in N=4 SYM, reproducing known two-loop results and yielding new three-loop terms for the maximal determinant operator.