Fetching the paper…
Reading the bibliography…
We construct a symbol and coaction for $l$-loop sunrise integrals, both for the equal-mass and generic-mass cases.
The Sklyanin Bracket and Cluster Adjacency at All Multiplicity ,
J. Golden, A. J. McLeod, M. Spradlin and A. Volovich, · 1902
Earlier work this paper cites.
Six-Gluon Amplitudes in Planar 𝒩 = 4 \mathcal{N}\!=\!4 super-Yang-Mills Theory at Six and Seven Loops ,
S. Caron-Huot, L. J. Dixon, F. Dulat, M. von Hippel, A. J. McLeod and G. Papathanasiou, · 1903
Earlier work this paper cites.
Yangian invariants and cluster adjacency in 𝒩 \mathcal{N} = 4 Yang-Mills ,
J. Mago, A. Schreiber, M. Spradlin and A. Volovich, · 1906
Earlier work this paper cites.
The Cosmic Galois Group and Extended Steinmann Relations for Planar 𝒩 = 4 \mathcal{N}=4 SYM Amplitudes ,
S. Caron-Huot, L. J. Dixon, F. Dulat, M. Von Hippel, A. J. McLeod and G. Papathanasiou, · 1906
Earlier work this paper cites.
The unequal mass sunrise integral expressed through iterated integrals on ℳ ¯ 1 , 3 \overline{\mathcal{M}}_{1,3} ,
C. Bogner, S. Müller-Stach and S. Weinzierl, · 1907
Earlier work this paper cites.
An analytic solution for the equal-mass banana graph ,
J. Broedel, C. Duhr, F. Dulat, R. Marzucca, B. Penante and L. Tancredi, · 1907
Earlier work this paper cites.
Cluster Adjacency for m = 2 m=2 Yangian Invariants ,
T. Łukowski, M. Parisi, M. Spradlin and A. Volovich, · 1908
Earlier work this paper cites.
Embedding Feynman Integral (Calabi-Yau) Geometries in Weighted Projective Space ,
J. L. Bourjaily, A. J. McLeod, C. Vergu, M. Volk, M. Von Hippel and M. Wilhelm, · 1910
Earlier work this paper cites.
The l l -loop Banana Amplitude from GKZ Systems and relative Calabi-Yau Periods ,
A. Klemm, C. Nega and R. Safari, · 1912
Earlier work this paper cites.
Fourth order spectral functions for the electron propagator ,
A. Sabry, · 1962
Earlier work this paper cites.
Differential Equations Method: New Technique for Massive Feynman Diagrams Calculation ,
A. V. Kotikov, · 1991
Earlier work this paper cites.
Differential equations method: The Calculation of vertex type Feynman diagrams ,
A. V. Kotikov, · 1991
Earlier work this paper cites.
Differential equation method: The Calculation of N point Feynman diagrams ,
A. V. Kotikov, · 1992
Earlier work this paper cites.
Two-Loop Two-Point Functions with Masses: Asymptotic Expansions and Taylor Series, in Any Dimension ,
D. J. Broadhurst, J. Fleischer and O. V. Tarasov, · 1993
Earlier work this paper cites.
Calculation of two-loop self-energies in the electroweak Standard Model ,
S. Bauberger, M. Böhm, G. Weiglein, F. A. Berends and M. Buza, · 1994
Earlier work this paper cites.
Closed expressions for specific massive multiloop selfenergy integrals ,
F. A. Berends, M. Buza, M. Bohm and R. Scharf, · 1994
Earlier work this paper cites.
Analytical and numerical methods for massive two loop selfenergy diagrams ,
S. Bauberger, F. A. Berends, M. Bohm and M. Buza, · 1995
Earlier work this paper cites.
Simple one-dimensional integral representations for two loop selfenergies: The Master diagram ,
S. Bauberger and M. Bohm, · 1995
Earlier work this paper cites.
Differential Equations for Two-Loop Four-Point Functions ,
T. Gehrmann and E. Remiddi, · 2000
Earlier work this paper cites.
Tropical fans, scattering equations and amplitudes ,
J. Drummond, J. Foster, O. Gürdoğan and C. Kalousios, · 2002
Earlier work this paper cites.
Analytic Treatment of the Two-Loop Equal Mass Sunrise Graph ,
S. Laporta and E. Remiddi, · 2004
Earlier work this paper cites.
Galois Symmetries of Fundamental Groupoids and Noncommutative Geometry ,
A. B. Goncharov, · 2005
Earlier work this paper cites.
A note on one-loop cluster adjacency in 𝒩 \mathcal{N} = 4 SYM ,
J. Mago, A. Schreiber, M. Spradlin and A. Volovich, · 2005
Earlier work this paper cites.
On the Evaluation of a Certain Class of Feynman Diagrams in x x -Space: Sunrise-Type Topologies at Any Loop Order ,
S. Groote, J. G. Korner and A. A. Pivovarov, · 2006
Earlier work this paper cites.
Sequential Discontinuities of Feynman Integrals and the Monodromy Group ,
J. L. Bourjaily, H. Hannesdottir, A. J. McLeod, M. D. Schwartz and C. Vergu, · 2007
Earlier work this paper cites.
Analytic structure of all loop banana integrals ,
K. Bönisch, F. Fischbach, A. Klemm, C. Nega and R. Safari, · 2008
Earlier work this paper cites.
Classical Polylogarithms for Amplitudes and Wilson Loops ,
A. B. Goncharov, M. Spradlin, C. Vergu and A. Volovich, · 2010
Earlier work this paper cites.
A K3 in � 4 \phi^{4} (2010),
F. Brown and O. Schnetz, · 2010
Earlier work this paper cites.
On the Decomposition of Motivic Multiple Zeta Values (2011),
F. Brown, · 2011
Earlier work this paper cites.
Independence of hyperlogarithms over function fields via algebraic combinatorics (2011),
M. Deneufchâtel, G. H. E. Duchamp, V. H. N. Minh and A. I. Solomon, · 2011
Earlier work this paper cites.
Bootstrapping the Three-Loop Hexagon ,
L. J. Dixon, J. M. Drummond and J. M. Henn, · 2011
Cited alongside, same era.
Multiple elliptic polylogarithms (2011),
F. Brown and A. Levin, · 2011
Cited alongside, same era.
From Polygons and Symbols to Polylogarithmic Functions ,
C. Duhr, H. Gangl and J. R. Rhodes, · 2012
Cited alongside, same era.
Hopf Algebras, Coproducts and Symbols: an Application to Higgs Boson Amplitudes ,
C. Duhr, · 2012
Cited alongside, same era.
Cluster algebras for Feynman integrals ,
D. Chicherin, J. M. Henn and G. Papathanasiou, · 2012
Cited alongside, same era.
Analytic Result for the Two-Loop Six-Point NMHV Amplitude in 𝒩 = 4 \mathcal{N}\!=\!4 Super Yang-Mills Theory ,
L. J. Dixon, J. M. Drummond and J. M. Henn, · 2012
Cited alongside, same era.
Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph ,
A. Primo and L. Tancredi, · 2017
Later among the works it cites.
Local Mirror Symmetry and the Sunset Feynman Integral ,
S. Bloch, M. Kerr and P. Vanhove, · 2017
Later among the works it cites.
Cuts of Feynman Integrals in Baikov representation ,
H. Frellesvig and C. G. Papadopoulos, · 2017
Later among the works it cites.
Maximal Cuts in Arbitrary Dimension (2017),
J. Bosma, M. Sogaard and Y. Zhang, · 2017
Later among the works it cites.
Baikov-Lee Representations Of Cut Feynman Integrals ,
M. Harley, F. Moriello and R. M. Schabinger, · 2017
Later among the works it cites.
Cluster Adjacency Properties of Scattering Amplitudes in 𝒩 = 4 \mathcal{N}=4 Supersymmetric Yang-Mills Theory ,
J. Drummond, J. Foster and Ö. Gürdoǧan, · 2018
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
A Three-Point Form Factor Through Five Loops ,
L. J. Dixon, A. J. McLeod and M. Wilhelm, · 2012
Cited alongside, same era.
From Motives to Differential Equations for Loop Integrals ,
S. Müller-Stach, S. Weinzierl and R. Zayadeh, · 2012
Cited alongside, same era.
Multiloop Integrals in Dimensional Regularization Made Simple ,
J. M. Henn, · 2013
Cited alongside, same era.
Hexagon Functions and the Three-Loop Remainder Function ,
L. J. Dixon, J. M. Drummond, M. von Hippel and J. Pennington, · 2013
Cited alongside, same era.
The Two-Loop Sunrise Graph with Arbitrary Masses ,
L. Adams, C. Bogner and S. Weinzierl, · 2013
Cited alongside, same era.
Motivic Amplitudes and Cluster Coordinates ,
J. Golden, A. B. Goncharov, M. Spradlin, C. Vergu and A. Volovich, · 2014
Cited alongside, same era.
Later among the works it cites.
Feynman Integrals and Iterated Integrals of Modular Forms ,
L. Adams and S. Weinzierl, · 2018
Later among the works it cites.
Elliptic Polylogarithms and Iterated Integrals on Elliptic Curves II: an Application to the Sunrise Integral ,
J. Brödel, C. Duhr, F. Dulat and L. Tancredi, · 2018
Later among the works it cites.
The " \varepsilon -form of the differential equations for Feynman integrals in the elliptic case ,
L. Adams and S. Weinzierl, · 2018
Later among the works it cites.
Electron self-energy in QED at two loops revisited ,
I. Hönemann, K. Tempest and S. Weinzierl, · 2018
Later among the works it cites.
Elliptic Polylogarithms and Iterated Integrals on Elliptic Curves. Part I: General Formalism ,
J. Brödel, C. Duhr, F. Dulat and L. Tancredi, · 2018
Later among the works it cites.
Elliptic Symbol Calculus: from Elliptic Polylogarithms to Iterated Integrals of Eisenstein Series ,
J. Brödel, C. Duhr, F. Dulat, B. Penante and L. Tancredi, · 2018
Later among the works it cites.
Traintracks Through Calabi-Yaus: Amplitudes Beyond Elliptic Polylogarithms ,
J. L. Bourjaily, Y.-H. He, A. J. Mcleod, M. von Hippel and M. Wilhelm, · 2018
Later among the works it cites.
Cluster Adjacency Beyond MHV ,
J. Drummond, J. Foster and Ö. Gürdoǧan, · 2019
Later among the works it cites.
Cluster Adjacency and the Four-Loop NMHV Heptagon ,
J. Drummond, J. Foster, Ö. Gürdoǧan and G. Papathanasiou, · 2019
Later among the works it cites.
A (Bounded) Bestiary of Feynman Integral Calabi-Yau Geometries ,
J. L. Bourjaily, A. J. McLeod, M. von Hippel and M. Wilhelm, · 2019
Later among the works it cites.
Notes on cluster algebras and some all-loop Feynman integrals ,
S. He, Z. Li and Q. Yang, · 2021
Later among the works it cites.
Truncated cluster algebras and Feynman integrals with algebraic letters ,
S. He, Z. Li and Q. Yang, · 2021
Later among the works it cites.
Kinematics, cluster algebras and Feynman integrals (2021),
S. He, Z. Li and Q. Yang, · 2021
Later among the works it cites.
Implications of the Landau equations for iterated integrals ,
H. S. Hannesdottir, A. J. McLeod, M. D. Schwartz and C. Vergu, · 2022
Closest in time.
Comments on all-loop constraints for scattering amplitudes and Feynman integrals ,
S. He, Z. Li and Q. Yang, · 2022
Closest in time.
Folding Amplitudes into Form Factors: An Antipodal Duality ,
L. J. Dixon, O. Gurdogan, A. J. McLeod and M. Wilhelm, · 2022
Closest in time.
Bootstrapping a stress-tensor form factor through eight loops ,
L. J. Dixon, O. Gurdogan, A. J. McLeod and M. Wilhelm, · 2022
Closest in time.
Feynman integrals in dimensional regularization and extensions of Calabi-Yau motives ,
K. Bönisch, C. Duhr, F. Fischbach, A. Klemm and C. Nega, · 2022
Closest in time.
Taming Calabi-Yau Feynman integrals: The four-loop equal-mass banana integral (2022),
S. Pögel, X. Wang and S. Weinzierl, · 2022
Closest in time.
Bananas of equal mass: any loop, any order in the dimensional regularisation parameter (2022),
S. Pögel, X. Wang and S. Weinzierl, · 2022
Closest in time.
The ice cone family and iterated integrals for Calabi-Yau varieties ,
C. Duhr, A. Klemm, C. Nega and L. Tancredi, · 2023
Closest in time.
Symbology for elliptic multiple polylogarithms and the symbol prime ,
M. Wilhelm and C. Zhang, · 2023
Closest in time.
The cosmic Galois group, the sunrise Feynman integral, and the relative completion of � 1 ( 6 ) \Gamma_{1}(6) (2023),
M. Tapušković, · 2023
Closest in time.
A Numerical Test of Differential Equations for One- and Two-Loop sunrise Diagrams using Configuration Space Techniques ,
S. Groote, J. G. Korner and A. A. Pivovarov, · 2085
Closest in time.