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ZENODO
Dataset . 2024
License: CC BY
Data sources: Datacite
ZENODO
Dataset . 2024
License: CC BY
Data sources: Datacite
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Ancillary files for "Graded transcendental functions: an application to four-point amplitudes with one off-shell leg"

Authors: Mella, Cesare Carlo; Tancredi, Lorenzo; Jakubčík, Petr; Gehrmann, Thomas; Henn, Johannes; Torres Bobadilla, William J.; Lim, Jungwon; +1 Authors

Ancillary files for "Graded transcendental functions: an application to four-point amplitudes with one off-shell leg"

Abstract

We provide ancillary files to "Graded transcendental functions: an application to four-point amplitudes with one off-shell leg". All attached files are in Mathematica format. See also appendix C of the manuscript for details on the ancillary files. Families.zip: For each integral family, we provide in a single file familyname.m the list of propagators, a canonical basis and the corresponding differential equations, and a regularised boundary vector at the point (x, y) = (0, 0). Files contain a list of Mathematica replacement rules in the format {prop["familyname"]-> {...}, basis["familyname"]-> {...}, boundaries["familyname"]-> {....}, DE["familyname"]-> {...}}. BoundariesDemo.zip: An executable notebook implementing the fixing of boundary constants using the method for a two-loop example. TridentFunctions.zip: For each relevant canonical integral and kinematic crossing listed in basis_labels.m, we provide a map to the trident functions in the form of a sparse rational array of size 13812 × 1282 in mapping_positions.m and mapping_values.m. We also provide the UT Laurent expansions of the trident functions in terms of 42258 iterated integrals and transcendental constants in sb_labels.m, again as a sparse array in expansion_positions.m and expansion_values.m. FormFactor.zip: We provide the three-loop finite remainders R(3) and E(3) of the N = 4 sYM form factor in terms of Chen iterated integrals and MPLs. Hjet.zip: The three independent helicity coefficients for the decay of a H boson to three partons at three loops are given in terms of iterated integrals and in a manifestly real MPL representation. In particular, we provide the part of the finite remainders containing new letters, with rational coefficients evaluated at x = 3/13, y = 11/17. 

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average