Jakob Ablinger

Office

Schloss Hagenberg
A-4232 Hagenberg im Mühlkreis

Room: -2.18-4

Postal Adress

Research Institute for Symbolic Computation
Johannes Kepler University
Altenberger Straße 69
A-4040 Linz, Austria

Publications

2018

Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams

J. Ablinger, J. Blümlein, A. De Freitas, M. van Hoeij, E. Imamoglu, C.G. Raab, C.-S. Radu, C. Schneider

J. Math. Phys. 59(062305), pp. 1-55. 2018. ISSN 0022-2488. arXiv:1706.01299 [hep-th]. [url]
[bib]
@article{RISC5456,
author = {J. Ablinger and J. Blümlein and A. De Freitas and M. van Hoeij and E. Imamoglu and C.G. Raab and C.-S. Radu and C. Schneider},
title = {{Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams}},
language = {english},
journal = {J. Math. Phys.},
volume = {59},
number = {062305},
pages = {1--55},
isbn_issn = {ISSN 0022-2488},
year = {2018},
note = {arXiv:1706.01299 [hep-th]},
refereed = {no},
length = {55},
url = {https://arxiv.org/abs/1706.01299}
}

The two-mass contribution to the three-loop pure singlet operator matrix element

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

Nucl. Phys. B(927), pp. 339-367. 2018. ISSN 0550-3213. arXiv:1711.06717 [hep-ph]. [url]
[bib]
@article{RISC5504,
author = {J. Ablinger and J. Blümlein and A. De Freitas and C. Schneider and K. Schönwald},
title = {{The two-mass contribution to the three-loop pure singlet operator matrix element}},
language = {english},
journal = {Nucl. Phys. B},
number = {927},
pages = {339--367},
isbn_issn = {ISSN 0550-3213},
year = {2018},
note = {arXiv:1711.06717 [hep-ph]},
refereed = {yes},
length = {29},
url = {https://arxiv.org/abs/1711.06717}
}

Algebraic independence of sequences generated by (cyclotomic) harmonic sums

J. Ablinger, C. Schneider

Annals of Combinatorics 22(2), pp. 213-244. 2018. ISSN: 0218-0006. arXiv:1510.03692 [cs.SC], doi 10.1007/s00026-018-0381-5. [url]
[bib]
@article{RISC5507,
author = {J. Ablinger and C. Schneider},
title = {{Algebraic independence of sequences generated by (cyclotomic) harmonic sums}},
language = {english},
journal = {Annals of Combinatorics},
volume = {22},
number = {2},
pages = {213--244},
isbn_issn = {ISSN: 0218-0006},
year = {2018},
note = {arXiv:1510.03692 [cs.SC], doi 10.1007/s00026-018-0381-5},
refereed = {yes},
length = {32},
url = {https://link.springer.com/journal/26/22/2/page/1}
}

The Heavy Quark Form Factors at Two Loops

J. Ablinger, A. Behring, J. Bluemlein, G. Falcioni, A. De Freitas, P. Marquard, N. Rana, C. Schneider

Physical Review D 97(094022), pp. 1-44. 2018. ISSN 1550-2368. arXiv:1712.09889 [hep-ph]. [url]
[bib]
@article{RISC5522,
author = {J. Ablinger and A. Behring and J. Bluemlein and G. Falcioni and A. De Freitas and P. Marquard and N. Rana and C. Schneider},
title = {{The Heavy Quark Form Factors at Two Loops}},
language = {english},
journal = {Physical Review D},
volume = {97},
number = {094022},
pages = {1--44},
isbn_issn = {ISSN 1550-2368},
year = {2018},
note = {arXiv:1712.09889 [hep-ph]},
refereed = {yes},
length = {131},
url = {https://doi.org/10.1103/PhysRevD.97.094022}
}

The Two-mass Contribution to the Three-Loop Gluonic Operator Matrix Element $A_{gg, Q}^{(3)}$

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

Nucl. Phys. B 932, pp. 129-240. 2018. ISSN 0550-3213. arXiv:1804.02226 [hep-ph]. [url]
[bib]
@article{RISC5618,
author = {J. Ablinger and J. Blümlein and A. De Freitas and A. Goedicke and C. Schneider and K. Schönwald},
title = {{The Two-mass Contribution to the Three-Loop Gluonic Operator Matrix Element $A_{gg,Q}^{(3)}$}},
language = {english},
journal = {Nucl. Phys. B},
volume = {932},
pages = {129--240},
isbn_issn = {ISSN 0550-3213},
year = {2018},
note = {arXiv:1804.02226 [hep-ph]},
refereed = {yes},
length = {112},
url = {https://doi.org/10.1016/j.nuclphysb.2018.04.023}
}

Heavy Quark Form Factors at Three Loops in the Planar Limit

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

Physics Letters B 782, pp. 528-532. 2018. ISSN: 0370-2693. arXiv:1804.07313 [hep-ph]. [url]
[bib]
@article{RISC5689,
author = {J. Ablinger and J. Blümlein and P. Marquard and N. Rana and C. Schneider},
title = {{Heavy Quark Form Factors at Three Loops in the Planar Limit}},
language = {english},
journal = {Physics Letters B},
volume = {782},
pages = {528--532},
isbn_issn = {ISSN: 0370-2693},
year = {2018},
note = {arXiv:1804.07313 [hep-ph]},
refereed = {yes},
length = {9},
url = {https://doi.org/10.1016/j.physletb.2018.05.077}
}

2017

Discovering and Proving Infinite Binomial Sums Identities

J. Ablinger

Experimental Mathematics 26(1), pp. 62-71. 2017. ISSN 1058-6458. 10.1080/10586458.2015.1116028. [url]
[bib]
@article{RISC5159,
author = {J. Ablinger},
title = {{Discovering and Proving Infinite Binomial Sums Identities}},
language = {english},
journal = {Experimental Mathematics},
volume = {26},
number = {1},
pages = {62--71},
isbn_issn = {ISSN 1058-6458},
year = {2017},
note = {10.1080/10586458.2015.1116028},
refereed = {yes},
length = {10},
url = {http://arxiv.org/abs/1507.01703}
}

Iterative and Iterative-Noniterative Integral Solutions in 3-Loop Massive QCD Calculations

J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, E. Imamoglu, M. van Hoeij A. von Manteuffel, C.G. Raab, C.-S. Radu, C. Schneider

In: Proc. of the 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), A. Hoang, C. Schneider (ed.)PoS (RADCOR2017) 069, pp. 1-13. 2017. ISSN 1824-8039. arXiv:1711.09742 [hep-ph]. [url]
[bib]
@inproceedings{RISC5350,
author = {J. Ablinger and A. Behring and J. Blümlein and A. De Freitas and E. Imamoglu and M. van Hoeij A. von Manteuffel and C.G. Raab and C.-S. Radu and C. Schneider},
title = {{Iterative and Iterative-Noniterative Integral Solutions in 3-Loop Massive QCD Calculations}},
booktitle = {{Proc. of the 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology)}},
language = {english},
volume = {PoS (RADCOR2017) 069},
pages = {1--13},
isbn_issn = {ISSN 1824-8039},
year = {2017},
note = {arXiv:1711.09742 [hep-ph]},
editor = {A. Hoang and C. Schneider},
refereed = {no},
length = {13},
url = {https://pos.sissa.it/290/069/pdf}
}

The Three-Loop Splitting Functions $P_{qg}^{(2)}$ and $P_{gg}^{(2, \rm N_F)}$

J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, C. Schneider

Nucl. Phys. B. 922, pp. 1-40. 2017. ISSN 0550-3213.. arXiv:1705.01508 [hep-ph]. [url]
[bib]
@article{RISC5449,
author = {J. Ablinger and A. Behring and J. Blümlein and A. De Freitas and A. von Manteuffel and C. Schneider},
title = {{The Three-Loop Splitting Functions $P_{qg}^{(2)}$ and $P_{gg}^{(2,\rm N_F)}$}},
language = {english},
journal = {Nucl. Phys. B.},
volume = {922},
pages = {1--40},
isbn_issn = {ISSN 0550-3213.},
year = {2017},
note = {arXiv:1705.01508 [hep-ph]},
refereed = {yes},
length = {40},
url = {https://arxiv.org/abs/1705.01508}
}

Three Loop Massive Operator Matrix Elements and Asymptotic Wilson Coefficients with Two Different Masses

J. Ablinger, J. Blümlein, A. De Freitas, A. Hasselhuhn, C. Schneider, F. Wißbrock

Nucl. Phys. B. 921, pp. 585-688. 2017. ISSN 0550-3213. arXiv:1705.07030 [hep-ph]. [url]
[bib]
@article{RISC5451,
author = {J. Ablinger and J. Blümlein and A. De Freitas and A. Hasselhuhn and C. Schneider and F. Wißbrock},
title = {{Three Loop Massive Operator Matrix Elements and Asymptotic Wilson Coefficients with Two Different Masses}},
language = {english},
journal = {Nucl. Phys. B.},
volume = {921},
pages = {585--688},
isbn_issn = {ISSN 0550-3213},
year = {2017},
note = {arXiv:1705.07030 [hep-ph]},
refereed = {yes},
length = {99},
url = {https://arxiv.org/abs/1705.07030}
}

Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering: Recent Results

J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, C. Schneider

In: Proceedings of QCDEV2017, L. Gamberg, A. Prokudin, J.W. Qiu and A. Radyushkin (ed.)PoS(QCDEV2017)031 , pp. 1-10. 2017. ISSN 1824-8039. arXiv:1711.07957 [hep-ph]. [url]
[bib]
@inproceedings{RISC5506,
author = {J. Ablinger and A. Behring and J. Blümlein and A. De Freitas and A. von Manteuffel and C. Schneider},
title = {{Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering: Recent Results}},
booktitle = {{Proceedings of QCDEV2017}},
language = {english},
volume = {PoS(QCDEV2017)031 },
pages = {1--10},
isbn_issn = {ISSN 1824-8039},
year = {2017},
note = {arXiv:1711.07957 [hep-ph]},
editor = {L. Gamberg and A. Prokudin and J.W. Qiu and A. Radyushkin},
refereed = {no},
length = {10},
url = {https://pos.sissa.it/308/}
}

The massive 3-loop operator matrix elements with two masses and the generalized variable flavor number scheme

J. Ablinger, J. Blümlein, A. De Freitas, A. Goedicke, C. Schneider, K. Schönwald, F. Wißbrock

In: Proc. of the 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), A. Hoang, C. Schneider (ed.)PoS (RADCOR2017) 071, pp. 1-20. 2017. ISSN 1824-8039. arXiv:1712.00745 [hep-ph]. [url]
[bib]
@inproceedings{RISC5513,
author = {J. Ablinger and J. Blümlein and A. De Freitas and A. Goedicke and C. Schneider and K. Schönwald and F. Wißbrock},
title = {{The massive 3-loop operator matrix elements with two masses and the generalized variable flavor number scheme}},
booktitle = {{Proc. of the 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology)}},
language = {english},
volume = {PoS (RADCOR2017) 071},
pages = {1--20},
isbn_issn = {ISSN 1824-8039},
year = {2017},
note = { arXiv:1712.00745 [hep-ph]},
editor = {A. Hoang and C. Schneider},
refereed = {no},
length = {20},
url = {https://pos.sissa.it/290/071/pdf}
}

Special functions, transcendentals and their numerics

Jakob Ablinger, Johannes Blümlein, Mark Round, Carsten Schneider

In: Proc. of the 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), A. Hoang, C. Schneider (ed.)PoS (RADCOR2017) 010, pp. 1-7. 2017. ISSN 1824-8039. arXiv:1712.08541 [hep-th]. [url]
[bib]
@inproceedings{RISC5521,
author = {Jakob Ablinger and Johannes Blümlein and Mark Round and Carsten Schneider},
title = {{Special functions, transcendentals and their numerics}},
booktitle = {{Proc. of the 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology)}},
language = {english},
volume = {PoS (RADCOR2017) 010},
pages = {1--7},
isbn_issn = {ISSN 1824-8039},
year = {2017},
note = { arXiv:1712.08541 [hep-th]},
editor = {A. Hoang and C. Schneider},
refereed = {no},
length = {7},
url = {https://pos.sissa.it/290/010/pdf}
}

Computing the Inverse Mellin Transform of Holonomic Sequences using Kovacic's Algorithm

J. Ablinger

In: Proc. of the 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), A. Hoang and C. Schneider (ed.)PoS (RADCOR2017) 069, pp. 1-8. 2017. ISSN 1824-8039. arXiv:1801.01039 [cs.SC]. [url]
[bib]
@inproceedings{RISC5527,
author = {J. Ablinger},
title = {{Computing the Inverse Mellin Transform of Holonomic Sequences using Kovacic's Algorithm}},
booktitle = {{Proc. of the 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology)}},
language = {english},
volume = {PoS (RADCOR2017) 069},
pages = {1--8},
isbn_issn = {ISSN 1824-8039},
year = {2017},
note = {arXiv:1801.01039 [cs.SC]},
editor = {A. Hoang and C. Schneider},
refereed = {no},
length = {8},
url = {https://pos.sissa.it/290/001/pdf}
}

Heavy quark form factors at two loops in perturbative QCD

J. Ablinger, A. Behring, J. Blümlein, G. Falcioni, A. De Freitas, P. Marquard, N. Rana, C. Schneider

ACTA PHYSICA POLONICA B 48(12), pp. 2155-2166. 2017. ISSN 0587-4254. Presented at the XLI International Conference of Theoretical Physics “Matter to the Deepest”, Podlesice, Poland, September 3–8, 2017, arXiv:1711.04880 [hep-ph]. [url]
[bib]
@article{RISC5539,
author = {J. Ablinger and A. Behring and J. Blümlein and G. Falcioni and A. De Freitas and P. Marquard and N. Rana and C. Schneider},
title = {{Heavy quark form factors at two loops in perturbative QCD}},
language = {english},
journal = {ACTA PHYSICA POLONICA B},
volume = {48},
number = {12},
pages = {2155--2166},
isbn_issn = { ISSN 0587-4254},
year = {2017},
note = {Presented at the XLI International Conference of Theoretical Physics “Matter to the Deepest”, Podlesice, Poland, September 3–8, 2017, arXiv:1711.04880 [hep-ph]},
refereed = {yes},
length = {12},
url = {http://www.actaphys.uj.edu.pl/findarticle?series=Reg&vol=48&page=2155}
}

2016

Calculating Three Loop Ladder and V-Topologies for Massive Operator Matrix Elements by Computer Algebra

J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, C. Schneider

Comput. Phys. Comm. 202, pp. 33-112. 2016. ISSN 0010-4655. arXiv:1509.08324 [hep-ph]. [url]
[bib]
@article{RISC5173,
author = {J. Ablinger and A. Behring and J. Blümlein and A. De Freitas and A. von Manteuffel and C. Schneider},
title = {{Calculating Three Loop Ladder and V-Topologies for Massive Operator Matrix Elements by Computer Algebra}},
language = {english},
journal = {Comput. Phys. Comm.},
volume = {202},
pages = {33--112},
isbn_issn = {ISSN 0010-4655},
year = {2016},
note = {arXiv:1509.08324 [hep-ph]},
refereed = {yes},
length = {80},
url = {http://arxiv.org/abs/1509.08324}
}

Algorithms to solve coupled systems of differential equations in terms of power series

J. Ablinger, A. Behring, J. Bluemlein, A. de Freitas, C. Schneider

In: Proc. Loops and Legs in Quantum Field Theory - LL 2016, J. Bluemlein, P. Marquard, T. Riemann (ed.) (ed.)PoS(LL2016)005, pp. 1-15. 2016. ISSN 1824-8039. arXiv:1608.05376 [cs.SC]. [url]
[bib]
@inproceedings{RISC5352,
author = {J. Ablinger and A. Behring and J. Bluemlein and A. de Freitas and C. Schneider},
title = {{Algorithms to solve coupled systems of differential equations in terms of power series}},
booktitle = {{Proc. Loops and Legs in Quantum Field Theory - LL 2016}},
language = {english},
volume = {PoS(LL2016)005},
pages = {1--15},
isbn_issn = {ISSN 1824-8039},
year = {2016},
note = {arXiv:1608.05376 [cs.SC]},
editor = {J. Bluemlein and P. Marquard and T. Riemann (ed.)},
refereed = {yes},
length = {15},
url = {http://pos.sissa.it/archive/conferences/260/005/LL2016_005.pdf}
}

Inverse Mellin Transform of Holonomic Sequences

J. Ablinger

In: Proc. Loops and Legs in Quantum Field Theory - LL 2016, J. Bluemlein and P. Marquard and T. Riemann (ed.), Proc. of Sciences PoS (LL2016) 067, pp. -. 2016. ISSN 1824-8039. arXiv:1606.02845 [cs.SC]. [url]
[bib]
@inproceedings{RISC5360,
author = {J. Ablinger},
title = {{Inverse Mellin Transform of Holonomic Sequences}},
booktitle = {{Proc. Loops and Legs in Quantum Field Theory - LL 2016}},
language = {english},
series = {Proc. of Sciences},
volume = {PoS (LL2016) 067},
pages = {--},
isbn_issn = {ISSN 1824-8039},
year = {2016},
note = {arXiv:1606.02845 [cs.SC]},
editor = {J. Bluemlein and P. Marquard and T. Riemann},
refereed = {yes},
length = {10},
url = {http://arxiv.org/abs/1606.02845}
}

Heavy flavour corrections to polarised and unpolarised deep-inelastic scattering at 3-loop order

Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Alexander Hasselhuhn, Andreas von Manteuffel, Mark Round, Carsten Schneider, Fabian Wißbrock

In: Proceedings of the QCD Evolution 2016, PoS(QCDEV2016)052, pp. 1-16. 2016. National Institute for Subatomic Physics (Nikhef) in Amsterdam, ISSN 1824-8039. arXiv:1611.01104 [hep-ph]. [url]
[bib]
@inproceedings{RISC5386,
author = {Jakob Ablinger and Arnd Behring and Johannes Blümlein and Abilio De Freitas and Alexander Hasselhuhn and Andreas von Manteuffel and Mark Round and Carsten Schneider and Fabian Wißbrock},
title = {{Heavy flavour corrections to polarised and unpolarised deep-inelastic scattering at 3-loop order}},
booktitle = {{Proceedings of the QCD Evolution 2016}},
language = {english},
volume = {PoS(QCDEV2016)052},
pages = {1--16},
isbn_issn = {ISSN 1824-8039},
year = {2016},
note = {arXiv:1611.01104 [hep-ph]},
editor = {?},
refereed = {yes},
organization = {National Institute for Subatomic Physics (Nikhef) in Amsterdam},
length = {16},
url = {https://arxiv.org/abs/1611.01104}
}

New Results on Massive 3-Loop Wilson Coefficients in Deep-Inelastic Scattering

J. Ablinger, J. Behring, J. Blümlein, G. Falcioni, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, M. Round, C. Schneider, F. Wissbrock

In: Proc. Loops and Legs in Quantum Field Theory - LL 2016, J. Bluemlein and P. Marquard and T. Riemann (ed.), Proc. of Sciences PoS (LL2016) 065, pp. 1-16. 2016. ISSN 1824-8039. arXiv:1609.03397 [hep-ph]. [url]
[bib]
@inproceedings{RISC5397,
author = { J. Ablinger and J. Behring and J. Blümlein and G. Falcioni and A. De Freitas and A. Hasselhuhn and A. von Manteuffel and M. Round and C. Schneider and F. Wissbrock},
title = {{New Results on Massive 3-Loop Wilson Coefficients in Deep-Inelastic Scattering}},
booktitle = {{Proc. Loops and Legs in Quantum Field Theory - LL 2016}},
language = {english},
series = {Proc. of Sciences},
volume = {PoS (LL2016) 065},
pages = {1--16},
isbn_issn = {ISSN 1824-8039},
year = {2016},
note = {arXiv:1609.03397 [hep-ph]},
editor = {J. Bluemlein and P. Marquard and T. Riemann},
refereed = {yes},
length = {16},
url = {http://arxiv.org/abs/1609.03397}
}

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