SAGEX – Scattering Amplitudes: from Geometry to Experiment

Project Lead

Project Duration

01/09/2018 - 31/08/2022

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Publications

2021

[Schneider]

Iterated integrals over letters induced by quadratic forms

J. Ablinger, J. Blümlein, C. Schneider

Physical Review D 103(9), pp. 096025-096035. 2021. ISSN 2470-0029. arXiv:2103.08330 [hep-th]. [doi]
[bib]
@article{RISC6294,
author = {J. Ablinger and J. Blümlein and C. Schneider},
title = {{Iterated integrals over letters induced by quadratic forms}},
language = {english},
journal = {Physical Review D },
volume = {103},
number = {9},
pages = {096025--096035},
isbn_issn = {ISSN 2470-0029},
year = {2021},
note = {arXiv:2103.08330 [hep-th]},
refereed = {yes},
length = {11},
url = {https://www.doi.org/10.1103/PhysRevD.103.096025}
}
[Schneider]

New 2– and 3–loop heavy flavor corrections to unpolarized and polarized deep-inelastic scattering

J. Ablinger, J. Blümlein, A. De Freitas, M. Saragnese, C. Schneider, K. Schönwald

Technical report no. 21-14 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online). July 2021. Licensed under CC BY 4.0 International. [doi] [pdf]
[bib]
@techreport{RISC6350,
author = {J. Ablinger and J. Blümlein and A. De Freitas and M. Saragnese and C. Schneider and K. Schönwald},
title = {{New 2– and 3–loop heavy flavor corrections to unpolarized and polarized deep-inelastic scattering}},
language = {english},
abstract = {A survey is given on the new 2-- and 3--loop results for the heavy flavor contributions to deep--inelastic scattering in the unpolarized and the polarized case. We also discuss related new mathematical aspectsapplied in these calculations.},
number = {21-14},
year = {2021},
month = {July},
keywords = {deep inelastic scattering, 3-loop Feynman integrals, symbolic summation, large moment method, special functions},
length = {13},
license = {CC BY 4.0 International},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Altenberger Straße 69, 4040 Linz, Austria},
issn = {2791-4267 (online)}
}
[Schneider]

The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements

J. Blümlein, P. Marquard, C. Schneider, K. Schönwald

Technical report no. 21-13 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online). July 2021. Licensed under CC BY 4.0 International. [doi] [pdf]
[bib]
@techreport{RISC6347,
author = {J. Blümlein and P. Marquard and C. Schneider and K. Schönwald},
title = {{The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements}},
language = {english},
abstract = {We calculate the unpolarized and polarized three--loop anomalous dimensions and splitting functions $P_{rm NS}^+, P_{rm NS}^-$ and $P_{rm NS}^{rm s}$ in QCD in the $overline{sf MS}$ scheme by using the traditional method of space--like off shell massless operator matrix elements. This is a gauge--dependent framework. For the first time we also calculate the three--loop anomalous dimensions $P_{rm NS}^{rm pm, tr}$ for transversity directly. We compare our results to the literature. },
number = {21-13},
year = {2021},
month = {July},
keywords = {particle physics, 3-loop anomalous dimensions, large moment method, recurrence guessing and solving},
length = {40},
license = {CC BY 4.0 International},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Altenberger Straße 69, 4040 Linz, Austria},
issn = {2791-4267 (online)}
}

2020

[Fadeev]

First-order factorizable systems of differential equations in one variable

N. Fadeev

Technical report no. 20-20 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online). 2020. [pdf]
[bib]
@techreport{RISC6222,
author = {N. Fadeev},
title = {{First-order factorizable systems of differential equations in one variable}},
language = {english},
number = {20-20},
year = {2020},
length = {29},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Altenberger Straße 69, 4040 Linz, Austria},
issn = {2791-4267 (online)}
}
[Schneider]

Three loop QCD corrections to heavy quark form factors

J. Ablinger, J. Blümlein, P. Marquard, N. Rana, C. Schneider

In: Proc. ACAT 2019, , J. Phys.: Conf. Ser. 1525/012018, pp. 1-10. 2020. ISSN 1742-6596. arXiv:1905.03728 [hep-ph], doi:10.1088/1742-6596/1525/1/012018. [url]
[bib]
@inproceedings{RISC4826,
author = {J. Ablinger and J. Blümlein and P. Marquard and N. Rana and C. Schneider},
title = {{Three loop QCD corrections to heavy quark form factors}},
booktitle = {{Proc. ACAT 2019}},
language = {english},
series = {J. Phys.: Conf. Ser.},
volume = {1525},
number = {012018},
pages = {1--10},
isbn_issn = {ISSN 1742-6596},
year = {2020},
note = {arXiv:1905.03728 [hep-ph], doi:10.1088/1742-6596/1525/1/012018},
editor = {?},
refereed = {yes},
length = {10},
url = {https://iopscience.iop.org/article/10.1088/1742-6596/1525/1/012018/}
}

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