Duhr, Claude; Klemm, Albrecht; Nega, Christoph; Tancredi, Lorenzo The ice cone family and iterated integrals for Calabi-Yau varieties. (English) Zbl 07685651 J. High Energy Phys. 2023, No. 2, Paper No. 228, 40 p. (2023). MSC: 81-XX PDFBibTeX XMLCite \textit{C. Duhr} et al., J. High Energy Phys. 2023, No. 2, Paper No. 228, 40 p. (2023; Zbl 07685651) Full Text: DOI arXiv
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
Bönisch, Kilian; Duhr, Claude; Fischbach, Fabian; Klemm, Albrecht; Nega, Christoph Feynman integrals in dimensional regularization and extensions of Calabi-Yau motives. (English) Zbl 07647520 J. High Energy Phys. 2022, No. 9, Paper No. 156, 119 p. (2022). MSC: 81Q30 81T18 14J32 81T30 81U05 PDFBibTeX XMLCite \textit{K. Bönisch} et al., J. High Energy Phys. 2022, No. 9, Paper No. 156, 119 p. (2022; Zbl 07647520) Full Text: DOI arXiv
Broedel, Johannes; Duhr, Claude; Matthes, Nils Meromorphic modular forms and the three-loop equal-mass banana integral. (English) Zbl 1522.81269 J. High Energy Phys. 2022, No. 2, Paper No. 184, 54 p. (2022). MSC: 81T18 81Q30 11G55 81V05 33B30 PDFBibTeX XMLCite \textit{J. Broedel} et al., J. High Energy Phys. 2022, No. 2, Paper No. 184, 54 p. (2022; Zbl 1522.81269) Full Text: DOI arXiv
Charlton, Steven; Duhr, Claude; Gangl, Herbert Clean single-valued polylogarithms. (English) Zbl 1477.11121 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 107, 34 p. (2021). MSC: 11G55 11M32 33E20 39B32 PDFBibTeX XMLCite \textit{S. Charlton} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 107, 34 p. (2021; Zbl 1477.11121) Full Text: DOI arXiv
Abreu, Samuel; Britto, Ruth; Duhr, Claude; Gardi, Einan; Matthew, James From positive geometries to a coaction on hypergeometric functions. (English) Zbl 1435.81075 J. High Energy Phys. 2020, No. 2, Paper No. 122, 45 p. (2020). MSC: 81Q30 81V05 81U05 PDFBibTeX XMLCite \textit{S. Abreu} et al., J. High Energy Phys. 2020, No. 2, Paper No. 122, 45 p. (2020; Zbl 1435.81075) Full Text: DOI arXiv
Duhr, Claude; Tancredi, Lorenzo Algorithms and tools for iterated Eisenstein integrals. (English) Zbl 1435.81077 J. High Energy Phys. 2020, No. 2, Paper No. 105, 48 p. (2020). MSC: 81Q30 11M36 PDFBibTeX XMLCite \textit{C. Duhr} and \textit{L. Tancredi}, J. High Energy Phys. 2020, No. 2, Paper No. 105, 48 p. (2020; Zbl 1435.81077) Full Text: DOI arXiv
Abreu, Samuel; Becchetti, Matteo; Duhr, Claude; Marzucca, Robin Three-loop contributions to the \(\rho\) parameter and iterated integrals of modular forms. (English) Zbl 1435.81232 J. High Energy Phys. 2020, No. 2, Paper No. 50, 38 p. (2020). MSC: 81V05 81T15 81U05 PDFBibTeX XMLCite \textit{S. Abreu} et al., J. High Energy Phys. 2020, No. 2, Paper No. 50, 38 p. (2020; Zbl 1435.81232) Full Text: DOI arXiv
Broedel, Johannes; Duhr, Claude; Dulat, Falko; Penante, Brenda; Tancredi, Lorenzo Elliptic Feynman integrals and pure functions. (English) Zbl 1409.81162 J. High Energy Phys. 2019, No. 1, Paper No. 23, 49 p. (2019). MSC: 81V05 81Q30 PDFBibTeX XMLCite \textit{J. Broedel} et al., J. High Energy Phys. 2019, No. 1, Paper No. 23, 49 p. (2019; Zbl 1409.81162) Full Text: DOI arXiv
Del Duca, Vittorio; Druc, Stefan; Drummond, James; Duhr, Claude; Dulat, Falko; Marzucca, Robin; Papathanasiou, Georgios; Verbeek, Bram The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy. (English) Zbl 1395.81160 J. High Energy Phys. 2018, No. 6, Paper No. 116, 57 p. (2018). MSC: 81T13 81T60 PDFBibTeX XMLCite \textit{V. Del Duca} et al., J. High Energy Phys. 2018, No. 6, Paper No. 116, 57 p. (2018; Zbl 1395.81160) Full Text: DOI arXiv
Abreu, Samuel; Britto, Ruth; Duhr, Claude; Gardi, Einan Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case. (English) Zbl 1383.81321 J. High Energy Phys. 2017, No. 12, Paper No. 90, 74 p. (2017). MSC: 81U05 81V05 81Q30 PDFBibTeX XMLCite \textit{S. Abreu} et al., J. High Energy Phys. 2017, No. 12, Paper No. 90, 74 p. (2017; Zbl 1383.81321) Full Text: DOI arXiv
Del Duca, Vittorio; Duhr, Claude; Marzucca, Robin; Verbeek, Bram The analytic structure and the transcendental weight of the BFKL ladder at NLL accuracy. (English) Zbl 1383.81289 J. High Energy Phys. 2017, No. 10, Paper No. 1, 44 p. (2017). MSC: 81T60 81U05 81V05 PDFBibTeX XMLCite \textit{V. Del Duca} et al., J. High Energy Phys. 2017, No. 10, Paper No. 1, 44 p. (2017; Zbl 1383.81289) Full Text: DOI arXiv
Abreu, Samuel; Britto, Ruth; Duhr, Claude; Gardi, Einan Cuts from residues: the one-loop case. (English) Zbl 1380.81421 J. High Energy Phys. 2017, No. 6, Paper No. 114, 57 p. (2017). MSC: 81U05 81V05 81Q30 83C75 PDFBibTeX XMLCite \textit{S. Abreu} et al., J. High Energy Phys. 2017, No. 6, Paper No. 114, 57 p. (2017; Zbl 1380.81421) Full Text: DOI arXiv
Del Duca, Vittorio; Druc, Stefan; Drummond, James; Duhr, Claude; Dulat, Falko; Marzucca, Robin; Papathanasiou, Georgios; Verbeek, Bram Multi-Regge kinematics and the moduli space of Riemann spheres with marked points. (English) Zbl 1390.81627 J. High Energy Phys. 2016, No. 8, Paper No. 152, 104 p. (2016). MSC: 81U10 PDFBibTeX XMLCite \textit{V. Del Duca} et al., J. High Energy Phys. 2016, No. 8, Paper No. 152, 104 p. (2016; Zbl 1390.81627) Full Text: DOI arXiv
Buehler, Stephan; Duhr, Claude CHAPLIN – complex harmonic polylogarithms in Fortran. (English) Zbl 1360.33002 Comput. Phys. Commun. 185, No. 10, 2703-2713 (2014). MSC: 33-04 65D20 33B30 PDFBibTeX XMLCite \textit{S. Buehler} and \textit{C. Duhr}, Comput. Phys. Commun. 185, No. 10, 2703--2713 (2014; Zbl 1360.33002) 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
Dixon, Lance J.; Drummond, James M.; Duhr, Claude; Pennington, Jeffrey The four-loop remainder function and multi-Regge behavior at NNLLA in planar \( \mathcal{N} = 4\) super-Yang-Mills theory. (English) Zbl 1333.81238 J. High Energy Phys. 2014, No. 6, Paper No. 116, 58 p. (2014). MSC: 81T13 16T05 PDFBibTeX XMLCite \textit{L. J. Dixon} et al., J. High Energy Phys. 2014, No. 6, Paper No. 116, 58 p. (2014; Zbl 1333.81238) Full Text: DOI arXiv
Drummond, James; Duhr, Claude; Eden, Burkhard; Heslop, Paul; Pennington, Jeffrey; Smirnov, Vladimir A. Leading singularities and off-shell conformal integrals. (English) Zbl 1342.81574 J. High Energy Phys. 2013, No. 8, Paper No. 133, 57 p. (2013). MSC: 81T60 PDFBibTeX XMLCite \textit{J. Drummond} et al., J. High Energy Phys. 2013, No. 8, Paper No. 133, 57 p. (2013; Zbl 1342.81574) Full Text: DOI arXiv
Duhr, Claude; Gangl, Herbert; Rhodes, John R. From polygons and symbols to polylogarithmic functions. (English) Zbl 1397.81355 J. High Energy Phys. 2012, No. 10, Paper No. 75, 79 p. (2012). MSC: 81T60 PDFBibTeX XMLCite \textit{C. Duhr} et al., J. High Energy Phys. 2012, No. 10, Paper No. 75, 79 p. (2012; Zbl 1397.81355) Full Text: DOI arXiv
Duhr, Claude Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes. (English) Zbl 1397.16028 J. High Energy Phys. 2012, No. 8, Paper No. 43, 46 p. (2012). MSC: 16T05 33B30 81U99 PDFBibTeX XMLCite \textit{C. Duhr}, J. High Energy Phys. 2012, No. 8, Paper No. 43, 46 p. (2012; Zbl 1397.16028) Full Text: DOI arXiv
Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A. A two-loop octagon Wilson loop in \(\mathcal{N} = 4\) SYM. (English) Zbl 1291.81240 J. High Energy Phys. 2010, No. 9, Paper No. 015, 15 p. (2010). MSC: 81T13 81T60 PDFBibTeX XMLCite \textit{V. Del Duca} et al., J. High Energy Phys. 2010, No. 9, Paper No. 015, 15 p. (2010; Zbl 1291.81240) Full Text: DOI arXiv
Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A. The two-loop hexagon Wilson loop in \(\mathcal{N}=4\) SYM. (English) Zbl 1287.81080 J. High Energy Phys. 2010, No. 5, Paper No. 084, 120 p. (2010). MSC: 81T13 81T60 81T25 11G55 PDFBibTeX XMLCite \textit{V. Del Duca} et al., J. High Energy Phys. 2010, No. 5, Paper No. 084, 120 p. (2010; Zbl 1287.81080) Full Text: DOI arXiv
Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A. An analytic result for the two-loop hexagon Wilson loop in \( \mathcal{N} = 4 \) SYM. (English) Zbl 1271.81104 J. High Energy Phys. 2010, No. 3, Paper No. 099, 17 p. (2010). MSC: 81T13 81T60 81T25 PDFBibTeX XMLCite \textit{V. Del Duca} et al., J. High Energy Phys. 2010, No. 3, Paper No. 099, 17 p. (2010; Zbl 1271.81104) Full Text: DOI arXiv
Del Duca, Vittorio; Duhr, Claude; Nigel Glover, E. W.; Smirnov, Vladimir A. The one-loop pentagon to higher orders in \(\varepsilon \). (English) Zbl 1269.81195 J. High Energy Phys. 2010, No. 1, Paper No. 042, 61 p. (2010). MSC: 81V05 81T13 81T60 81V35 PDFBibTeX XMLCite \textit{V. Del Duca} et al., J. High Energy Phys. 2010, No. 1, Paper No. 042, 61 p. (2010; Zbl 1269.81195) Full Text: DOI arXiv