SAGEX – Scattering Amplitudes: from Geometry to Experiment

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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 Logarithmic Contributions to the Polarized $O(alpha_s^3)$ Asymptotic Massive Wilson Coefficients and Operator Matrix Elements in Deeply Inelastic Scattering

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

Physical Review D 104(3), pp. 1-73. 2021. ISSN 2470-0029. arXiv:2105.09572 [hep-ph]. [doi]
[bib]
@article{RISC6333,
author = {J. Blümlein and A. De Freitas and M. Saragnese and K. Schönwald and C. Schneider},
title = {{The Logarithmic Contributions to the Polarized $O(alpha_s^3)$ Asymptotic Massive Wilson Coefficients and Operator Matrix Elements in Deeply Inelastic Scattering}},
language = {english},
abstract = {We compute the logarithmic contributions to the polarized massive Wilson coefficients fordeep-inelastic scattering in the asymptotic region $Q^2gg m^2$ to 3-loop order in the fixed-flavor number scheme and present the corresponding expressions for the polarized massiveoperator matrix elements needed in the variable flavor number scheme. The calculationis performed in the Larin scheme. For the massive operator matrix elements $A_{qq,Q}^{(3),PS}$ and $A_{qg,Q}^{(3),S}$the complete results are presented. The expressions are given in Mellin-$N$ space andin momentum fraction $z$-space.},
journal = {Physical Review D},
volume = {104},
number = {3},
pages = {1--73},
isbn_issn = {ISSN 2470-0029},
year = {2021},
note = {arXiv:2105.09572 [hep-ph]},
refereed = {yes},
keywords = {logarithmic contributions to the polarized massive Wilson coefficients, symbolic summation, harmonic sums, harmonic polylogarithm},
length = {73},
url = {https://doi.org/10.1103/PhysRevD.104.034030 }
}
[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

Nucl. Phys. B 971, pp. 1-44. 2021. ISSN 0550-3213. arXiv:2107.06267 [hep-ph]. [doi]
[bib]
@article{RISC6362,
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. },
journal = {Nucl. Phys. B},
volume = {971},
pages = {1--44},
isbn_issn = {ISSN 0550-3213},
year = {2021},
note = {arXiv:2107.06267 [hep-ph]},
refereed = {yes},
length = {44},
url = {https://doi.org/10.1016/j.nuclphysb.2021.115542}
}

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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