Fetching the paper…
Reading the bibliography…
Canonical Feynman integrals are of great interest in the study of scattering amplitudes at the multi-loop level.
Y. Wang, X. Xu, L. L. Yang, Two-loop triangle integrals with 4 scales for the H Z V HZV vertex, Phys. Rev. D 100 (7) (2019) 071502 · 1905
Earlier work this paper cites.
M. Heller, A. von Manteuffel, R. M. Schabinger, Multiple polylogarithms with algebraic arguments and the two-loop EW-QCD Drell-Yan master integrals, Phys. Rev. D 102 (1) (2020) 016025 · 1907
Earlier work this paper cites.
H. Frellesvig, F. Gasparotto, M. K. Mandal, P. Mastrolia, L. Mattiazzi, S. Mizera, Vector Space of Feynman Integrals and Multivariate Intersection Numbers, Phys. Rev. Lett. 123 (20) (2019) 201602 · 1907
Earlier work this paper cites.
S. Weinzierl, Simple differential equations for Feynman integrals associated to elliptic curves, in: 14th International Symposium on Radiative Corrections: Application of Quantum Field Theory to Phenomenology, 2019 · 1912
Earlier work this paper cites.
doi:10.1090/S0002-9904-1977-14320-6
K.-T. Chen, Iterated path integrals, Bull. Am. Math. Soc. 83 (1977) 831–879 · 1977
Earlier work this paper cites.
arXiv:hep-th/9606018
O. Tarasov, Connection between Feynman integrals having different values of the space-time dimension, Phys. Rev. D 54 (1996) 6479–6490 · 1996
Earlier work this paper cites.
arXiv:hep-ph/9611449
P. Baikov, Explicit solutions of the multiloop integral recurrence relations and its application, Nucl. Instrum. Meth. A 389 (1997) 347–349 · 1997
Earlier work this paper cites.
A. B. Goncharov, Multiple polylogarithms, cyclotomy and modular complexes, Math. Res. Lett. 5 (1998) 497–516 · 1998
Earlier work this paper cites.
S. Weinzierl, On the computation of intersection numbers for twisted cocycles (2 2020) · 2002
Earlier work this paper cites.
arXiv:hep-ph/0410259
J. Vollinga, S. Weinzierl, Numerical evaluation of multiple polylogarithms, Comput. Phys. Commun. 167 (2005) 177 · 2004
Earlier work this paper cites.
M. Hidding, DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions (6 2020) · 2006
Earlier work this paper cites.
H. Frellesvig, F. Gasparotto, S. Laporta, M. K. Mandal, P. Mastrolia, L. Mattiazzi, S. Mizera, Decomposition of Feynman Integrals by Multivariate Intersection Numbers (8 2020) · 2008
Earlier work this paper cites.
doi:10.1007/978-4-431-53938-4
K. Aomoto, M. Kita, Theory of Hypergeometric Functions , Springer Monographs in Mathematics, Springer, 2011 · 2011
Earlier work this paper cites.
N. Arkani-Hamed, J. L. Bourjaily, F. Cachazo, J. Trnka, Local Integrals for Planar Scattering Amplitudes, JHEP 06 (2012) 125 · 2012
Earlier work this paper cites.
T. Gehrmann, J. M. Henn, T. Huber, The three-loop form factor in N=4 super Yang-Mills, JHEP 03 (2012) 101 · 2012
Earlier work this paper cites.
J. M. Henn, Multiloop integrals in dimensional regularization made simple, Phys. Rev. Lett. 110 (2013) 251601 · 2013
Earlier work this paper cites.
J. Drummond, C. Duhr, B. Eden, P. Heslop, J. Pennington, V. A. Smirnov, Leading singularities and off-shell conformal integrals, JHEP 08 (2013) 133 · 2013
Earlier work this paper cites.
R. N. Lee, A. A. Pomeransky, Critical points and number of master integrals, JHEP 11 (2013) 165 · 2013
Cited alongside, same era.
S. Caron-Huot, J. M. Henn, Iterative structure of finite loop integrals, JHEP 06 (2014) 114 · 2014
Cited alongside, same era.
M. Argeri, S. Di Vita, P. Mastrolia, E. Mirabella, J. Schlenk, U. Schubert, L. Tancredi, Magnus and Dyson Series for Master Integrals, JHEP 03 (2014) 082 · 2014
Cited alongside, same era.
T. Gehrmann, A. von Manteuffel, L. Tancredi, E. Weihs, The two-loop master integrals for q q ¯ → V V q\overline{q}\to VV , JHEP 06 (2014) 032 · 2014
Cited alongside, same era.
M. Becchetti, R. Bonciani, Two-Loop Master Integrals for the Planar QCD Massive Corrections to Di-photon and Di-jet Hadro-production, JHEP 01 (2018) 048 · 2018
Later among the works it cites.
R. N. Lee, A. V. Smirnov, V. A. Smirnov, Solving differential equations for Feynman integrals by expansions near singular points, JHEP 03 (2018) 008 · 2018
Later among the works it cites.
S. Mizera, Scattering Amplitudes from Intersection Theory, Phys. Rev. Lett. 120 (14) (2018) 141602 · 2018
Later among the works it cites.
X. Xu, L. L. Yang, Towards a new approximation for pair-production and associated-production of the Higgs boson, JHEP 01 (2019) 211 · 2019
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
N. Arkani-Hamed, J. Trnka, The Amplituhedron, JHEP 10 (2014) 030 · 2014
Cited alongside, same era.
N. Arkani-Hamed, J. L. Bourjaily, F. Cachazo, J. Trnka, Singularity Structure of Maximally Supersymmetric Scattering Amplitudes, Phys. Rev. Lett. 113 (26) (2014) 261603 · 2014
Cited alongside, same era.
R. N. Lee, Reducing differential equations for multiloop master integrals, JHEP 04 (2015) 108 · 2015
Cited alongside, same era.
Z. Bern, E. Herrmann, S. Litsey, J. Stankowicz, J. Trnka, Logarithmic Singularities and Maximally Supersymmetric Amplitudes, JHEP 06 (2015) 202 · 2015
Cited alongside, same era.
R. Bonciani, V. Del Duca, H. Frellesvig, J. M. Henn, F. Moriello, V. A. Smirnov, Two-loop planar master integrals for Higgs → 3 \to 3 partons with full heavy-quark mass dependence, JHEP 12 (2016) 096 · 2016
Cited alongside, same era.
N. Arkani-Hamed, J. L. Bourjaily, F. Cachazo, A. B. Goncharov, A. Postnikov, J. Trnka, Grassmannian Geometry of Scattering Amplitudes, Cambridge University Press, 2016 · 2016
Cited alongside, same era.
A. Primo, L. Tancredi, On the maximal cut of Feynman integrals and the solution of their differential equations, Nucl. Phys. B 916 (2017) 94–116 · 2016
Cited alongside, same era.
A. Georgoudis, K. J. Larsen, Y. Zhang, Azurite: An algebraic geometry based package for finding bases of loop integrals, Comput. Phys. Commun. 221 (2017) 203–215 · 2017
Cited alongside, same era.
L.-B. Chen, J. Wang, Master integrals of a planar double-box family for top-quark pair production, Phys. Lett. B 792 (2019) 50–55 · 2019
Later among the works it cites.
M. Becchetti, R. Bonciani, V. Casconi, A. Ferroglia, S. Lavacca, A. von Manteuffel, Master Integrals for the two-loop, non-planar QCD corrections to top-quark pair production in the quark-annihilation channel, JHEP 08 (2019) 071 · 2019
Later among the works it cites.
D. Chicherin, T. Gehrmann, J. Henn, P. Wasser, Y. Zhang, S. Zoia, All Master Integrals for Three-Jet Production at Next-to-Next-to-Leading Order, Phys. Rev. Lett. 123 (4) (2019) 041603 · 2019
Later among the works it cites.
P. Mastrolia, S. Mizera, Feynman Integrals and Intersection Theory, JHEP 02 (2019) 139 · 2019
Later among the works it cites.
H. Frellesvig, F. Gasparotto, S. Laporta, M. K. Mandal, P. Mastrolia, L. Mattiazzi, S. Mizera, Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers, JHEP 05 (2019) 153 · 2019
Later among the works it cites.
R. Bonciani, V. Del Duca, H. Frellesvig, J. Henn, M. Hidding, L. Maestri, F. Moriello, G. Salvatori, V. Smirnov, Evaluating a family of two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence, JHEP 01 (2020) 132 · 2020
Closest in time.
H. Frellesvig, M. Hidding, L. Maestri, F. Moriello, G. Salvatori, The complete set of two-loop master integrals for Higgs + jet production in QCD, JHEP 06 (2020) 093 · 2020
Closest in time.
F. Moriello, Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loops, JHEP 01 (2020) 150 · 2020
Closest in time.
C. Dlapa, J. Henn, K. Yan, Deriving canonical differential equations for Feynman integrals from a single uniform weight integral, JHEP 05 (2020) 025 · 2020
Closest in time.
E. Herrmann, J. Parra-Martinez, Logarithmic forms and differential equations for Feynman integrals, JHEP 02 (2020) 099 · 2020
Closest in time.
J. Henn, B. Mistlberger, V. A. Smirnov, P. Wasser, Constructing d-log integrands and computing master integrals for three-loop four-particle scattering, JHEP 04 (2020) 167 · 2020
Closest in time.
S. Mizera, A. Pokraka, From Infinity to Four Dimensions: Higher Residue Pairings and Feynman Integrals, JHEP 02 (2020) 159 · 2020
Closest in time.
J. L. Bourjaily, E. Gardi, A. J. McLeod, C. Vergu, All-Mass n n -gon Integrals in n n Dimensions, JHEP 08 (2020) 029 · 2020
Closest in time.