Standard
Direct Integration for Multi-leg Amplitudes : Tips, Tricks, and When They Fail. / Bourjaily, Jacob L.; He, Yang-Hui; McLeod, Andrew J.; Spradlin, Marcus; Vergu, Cristian; Volk, Matthias; Hippel, Matt von; Wilhelm, Matthias.
Anti-Differentiation and the Calculation of Feynman Amplitudes. Springer, 2021. p. 107-123 (Texts and Monographs in Symbolic Computation).
Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
Harvard
Bourjaily, JL, He, Y-H, McLeod, AJ, Spradlin, M, Vergu, C
, Volk, M, Hippel, MV & Wilhelm, M 2021,
Direct Integration for Multi-leg Amplitudes: Tips, Tricks, and When They Fail. in
Anti-Differentiation and the Calculation of Feynman Amplitudes. Springer, Texts and Monographs in Symbolic Computation, pp. 107-123.
https://doi.org/10.1007/978-3-030-80219-6_5APA
Bourjaily, J. L., He, Y-H., McLeod, A. J., Spradlin, M., Vergu, C.
, Volk, M., Hippel, M. V., & Wilhelm, M. (2021).
Direct Integration for Multi-leg Amplitudes: Tips, Tricks, and When They Fail. In
Anti-Differentiation and the Calculation of Feynman Amplitudes (pp. 107-123). Springer. Texts and Monographs in Symbolic Computation
https://doi.org/10.1007/978-3-030-80219-6_5Vancouver
Bourjaily JL, He Y-H, McLeod AJ, Spradlin M, Vergu C
, Volk M et al.
Direct Integration for Multi-leg Amplitudes: Tips, Tricks, and When They Fail. In Anti-Differentiation and the Calculation of Feynman Amplitudes. Springer. 2021. p. 107-123. (Texts and Monographs in Symbolic Computation).
https://doi.org/10.1007/978-3-030-80219-6_5Author
Bourjaily, Jacob L. ; He, Yang-Hui ; McLeod, Andrew J. ; Spradlin, Marcus ; Vergu, Cristian ; Volk, Matthias ; Hippel, Matt von ; Wilhelm, Matthias. / Direct Integration for Multi-leg Amplitudes : Tips, Tricks, and When They Fail. Anti-Differentiation and the Calculation of Feynman Amplitudes. Springer, 2021. pp. 107-123 (Texts and Monographs in Symbolic Computation).
Bibtex
@inbook{a8a0e7d1e19e467b80c213c3b27f681e,
title = "Direct Integration for Multi-leg Amplitudes: Tips, Tricks, and When They Fail",
abstract = " Direct hyperlogarithmic integration offers a strong alternative to differential equation methods for Feynman integration, particularly for multi-particle diagrams. We review a variety of results by the authors in which this method, employed with some care, can compute diagrams of up to eight particles and four loops. We also highlight situations in which this method fails due to an algebraic obstruction. In a large number of cases the obstruction can be associated with a Calabi-Yau manifold. ",
keywords = "hep-th",
author = "Bourjaily, {Jacob L.} and Yang-Hui He and McLeod, {Andrew J.} and Marcus Spradlin and Cristian Vergu and Matthias Volk and Hippel, {Matt von} and Matthias Wilhelm",
note = "16 pages, 5 figures, talk given at the workshop {"}Antidifferentiation and the Calculation of Feynman Amplitudes{"}",
year = "2021",
month = jul,
day = "10",
doi = "10.1007/978-3-030-80219-6_5",
language = "English",
isbn = "978-3-030-80218-9",
series = "Texts and Monographs in Symbolic Computation",
publisher = "Springer",
pages = "107--123",
booktitle = "Anti-Differentiation and the Calculation of Feynman Amplitudes",
address = "Switzerland",
}
RIS
TY - CHAP
T1 - Direct Integration for Multi-leg Amplitudes
T2 - Tips, Tricks, and When They Fail
AU - Bourjaily, Jacob L.
AU - He, Yang-Hui
AU - McLeod, Andrew J.
AU - Spradlin, Marcus
AU - Vergu, Cristian
AU - Volk, Matthias
AU - Hippel, Matt von
AU - Wilhelm, Matthias
N1 - 16 pages, 5 figures, talk given at the workshop "Antidifferentiation and the Calculation of Feynman Amplitudes"
PY - 2021/7/10
Y1 - 2021/7/10
N2 - Direct hyperlogarithmic integration offers a strong alternative to differential equation methods for Feynman integration, particularly for multi-particle diagrams. We review a variety of results by the authors in which this method, employed with some care, can compute diagrams of up to eight particles and four loops. We also highlight situations in which this method fails due to an algebraic obstruction. In a large number of cases the obstruction can be associated with a Calabi-Yau manifold.
AB - Direct hyperlogarithmic integration offers a strong alternative to differential equation methods for Feynman integration, particularly for multi-particle diagrams. We review a variety of results by the authors in which this method, employed with some care, can compute diagrams of up to eight particles and four loops. We also highlight situations in which this method fails due to an algebraic obstruction. In a large number of cases the obstruction can be associated with a Calabi-Yau manifold.
KW - hep-th
U2 - 10.1007/978-3-030-80219-6_5
DO - 10.1007/978-3-030-80219-6_5
M3 - Book chapter
SN - 978-3-030-80218-9
T3 - Texts and Monographs in Symbolic Computation
SP - 107
EP - 123
BT - Anti-Differentiation and the Calculation of Feynman Amplitudes
PB - Springer
ER -
