Functions Beyond Multiple Polylogarithms for Precision Collider Physics
Publikation: Working paper › Preprint › Forskning
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Functions Beyond Multiple Polylogarithms for Precision Collider Physics. / Bourjaily, Jacob L.; Broedel, Johannes; Chaubey, Ekta; Duhr, Claude; Frellesvig, Hjalte; Hidding, Martijn; Marzucca, Robin; McLeod, Andrew J.; Spradlin, Marcus; Tancredi, Lorenzo; Vergu, Cristian; Volk, Matthias; Volovich, Anastasia; Hippel, Matt von; Weinzierl, Stefan; Wilhelm, Matthias; Zhang, Chi.
2022.Publikation: Working paper › Preprint › Forskning
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TY - UNPB
T1 - Functions Beyond Multiple Polylogarithms for Precision Collider Physics
AU - Bourjaily, Jacob L.
AU - Broedel, Johannes
AU - Chaubey, Ekta
AU - Duhr, Claude
AU - Frellesvig, Hjalte
AU - Hidding, Martijn
AU - Marzucca, Robin
AU - McLeod, Andrew J.
AU - Spradlin, Marcus
AU - Tancredi, Lorenzo
AU - Vergu, Cristian
AU - Volk, Matthias
AU - Volovich, Anastasia
AU - Hippel, Matt von
AU - Weinzierl, Stefan
AU - Wilhelm, Matthias
AU - Zhang, Chi
N1 - 32+24 pages, 11 figures, contribution to Snowmass 2021
PY - 2022/3/14
Y1 - 2022/3/14
N2 - Feynman diagrams constitute one of the essential ingredients for making precision predictions for collider experiments. Yet, while the simplest Feynman diagrams can be evaluated in terms of multiple polylogarithms -- whose properties as special functions are well understood -- more complex diagrams often involve integrals over complicated algebraic manifolds. Such diagrams already contribute at NNLO to the self-energy of the electron, $t \bar{t}$ production, $\gamma \gamma$ production, and Higgs decay, and appear at two loops in the planar limit of maximally supersymmetric Yang-Mills theory. This makes the study of these more complicated types of integrals of phenomenological as well as conceptual importance. In this white paper contribution to the Snowmass community planning exercise, we provide an overview of the state of research on Feynman diagrams that involve special functions beyond multiple polylogarithms, and highlight a number of research directions that constitute essential avenues for future investigation.
AB - Feynman diagrams constitute one of the essential ingredients for making precision predictions for collider experiments. Yet, while the simplest Feynman diagrams can be evaluated in terms of multiple polylogarithms -- whose properties as special functions are well understood -- more complex diagrams often involve integrals over complicated algebraic manifolds. Such diagrams already contribute at NNLO to the self-energy of the electron, $t \bar{t}$ production, $\gamma \gamma$ production, and Higgs decay, and appear at two loops in the planar limit of maximally supersymmetric Yang-Mills theory. This makes the study of these more complicated types of integrals of phenomenological as well as conceptual importance. In this white paper contribution to the Snowmass community planning exercise, we provide an overview of the state of research on Feynman diagrams that involve special functions beyond multiple polylogarithms, and highlight a number of research directions that constitute essential avenues for future investigation.
KW - hep-ph
KW - hep-th
M3 - Preprint
BT - Functions Beyond Multiple Polylogarithms for Precision Collider Physics
ER -
ID: 300678131