Blümlein, J.; Saragnese, M.; Schneider, C. Hypergeometric structures in Feynman integrals. (English) Zbl 1526.33008 Ann. Math. Artif. Intell. 91, No. 5, 591-649 (2023). MSC: 33F10 33C20 33C65 33E30 81Q30 PDFBibTeX XMLCite \textit{J. Blümlein} et al., Ann. Math. Artif. Intell. 91, No. 5, 591--649 (2023; Zbl 1526.33008) Full Text: DOI arXiv OA License
Abreu, Samuel; Britto, Ruth; Duhr, Claude The SAGEX review on scattering amplitudes chapter 3: mathematical structures in Feynman integrals. (English) Zbl 1520.81123 J. Phys. A, Math. Theor. 55, No. 44, Article ID 443004, 56 p. (2022). MSC: 81T13 81T15 81T32 81Q30 81T18 81V17 81U20 PDFBibTeX XMLCite \textit{S. Abreu} et al., J. Phys. A, Math. Theor. 55, No. 44, Article ID 443004, 56 p. (2022; Zbl 1520.81123) Full Text: DOI arXiv
Davies, Joshua; Mishima, Go; Schönwald, Kay; Steinhauser, Matthias; Zhang, Hantian Higgs boson contribution to the leading two-loop Yukawa corrections to \(gg \rightarrow HH\). (English) Zbl 1522.81272 J. High Energy Phys. 2022, No. 8, Paper No. 259, 37 p. (2022). MSC: 81T18 81Q30 81V10 81T15 81S40 PDFBibTeX XMLCite \textit{J. Davies} et al., J. High Energy Phys. 2022, No. 8, Paper No. 259, 37 p. (2022; Zbl 1522.81272) Full Text: DOI arXiv
Raab, Clemens G. Nested integrals and rationalizing transformations. (English) Zbl 1487.68257 Bluemlein, Johannes (ed.) et al., Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. Texts Monogr. Symb. Comput., 395-422 (2021). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 68W30 12H05 33F10 81Q30 81T18 PDFBibTeX XMLCite \textit{C. G. Raab}, in: Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. 395--422 (2021; Zbl 1487.68257) Full Text: DOI
Remiddi, Ettore; Tancredi, Lorenzo Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral. (English) Zbl 1336.81038 Nucl. Phys., B 907, 400-444 (2016). MSC: 81Q30 81U30 81V10 81T18 PDFBibTeX XMLCite \textit{E. Remiddi} and \textit{L. Tancredi}, Nucl. Phys., B 907, 400--444 (2016; Zbl 1336.81038) Full Text: DOI arXiv
Panzer, Erik Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals. (English) Zbl 1344.81024 Comput. Phys. Commun. 188, 148-166 (2015). MSC: 81-04 81Q30 81-08 PDFBibTeX XMLCite \textit{E. Panzer}, Comput. Phys. Commun. 188, 148--166 (2015; Zbl 1344.81024) Full Text: DOI arXiv
Bogner, Christian; Brown, Francis Feynman integrals and iterated integrals on moduli spaces of curves of genus zero. (English) Zbl 1316.81040 Commun. Number Theory Phys. 9, No. 1, 189-238 (2015). Reviewer: Gert Roepstorff (Aachen) MSC: 81Q30 14D21 14H10 68W30 PDFBibTeX XMLCite \textit{C. Bogner} and \textit{F. Brown}, Commun. Number Theory Phys. 9, No. 1, 189--238 (2015; Zbl 1316.81040) Full Text: DOI arXiv
Abreu, Samuel; Britto, Ruth; Duhr, Claude; Gardi, Einan From multiple unitarity cuts to the coproduct of Feynman integrals. (English) Zbl 1333.81148 J. High Energy Phys. 2014, No. 10, Paper No. 125, 82 p. (2014). MSC: 81Q30 PDFBibTeX XMLCite \textit{S. Abreu} et al., J. High Energy Phys. 2014, No. 10, Paper No. 125, 82 p. (2014; Zbl 1333.81148) Full Text: DOI arXiv
Ablinger, Jakob; Blümlein, Johannes Harmonic sums, polylogarithms, special numbers, and their generalizations. (English) Zbl 1308.81140 Schneider, Carsten (ed.) et al., Computer algebra in quantum field theory. Integration, summation and special functions. Wien: Springer (ISBN 978-3-7091-1615-9/hbk; 978-1-4614-8523-0/ebook). Texts and Monographs in Symbolic Computation, 1-32 (2013). MSC: 81T18 81Q30 11G55 PDFBibTeX XMLCite \textit{J. Ablinger} and \textit{J. Blümlein}, in: Computer algebra in quantum field theory. Integration, summation and special functions. Wien: Springer. 1--32 (2013; Zbl 1308.81140) Full Text: DOI arXiv
Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms. (English) Zbl 1295.81071 J. Math. Phys. 54, No. 8, 082301, 74 p. (2013). Reviewer: Sergiy Koshkin (Houston) MSC: 81Q30 81V05 11G55 81T18 81U35 PDFBibTeX XMLCite \textit{J. Ablinger} et al., J. Math. Phys. 54, No. 8, 082301, 74 p. (2013; Zbl 1295.81071) Full Text: DOI arXiv Link
Blümlein, Johannes; Klein, Sebastian; Schneider, Carsten; Stan, Flavia A symbolic summation approach to Feynman integral calculus. (English) Zbl 1242.81005 J. Symb. Comput. 47, No. 10, 1267-1289 (2012). MSC: 81Q30 33C90 68W30 PDFBibTeX XMLCite \textit{J. Blümlein} et al., J. Symb. Comput. 47, No. 10, 1267--1289 (2012; Zbl 1242.81005) Full Text: DOI arXiv
Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten Harmonic sums and polylogarithms generated by cyclotomic polynomials. (English) Zbl 1272.81127 J. Math. Phys. 52, No. 10, 102301, 52 p. (2011). MSC: 33B30 81Q30 11M32 11B83 PDFBibTeX XMLCite \textit{J. Ablinger} et al., J. Math. Phys. 52, No. 10, 102301, 52 p. (2011; Zbl 1272.81127) Full Text: DOI arXiv Link