Dr Mark Round

Publications

2019

[Round]

Numerical Implementation of Harmonic Polylogarithms to Weight w = 8

J. Ablinger, J. Blümlein, M. Round, C. Schneider

Comput. Phys. Comm. 240, pp. 189-201. 2019. ISSN 0010-4655. arXiv:1809.07084 [hep-ph]. [doi] [pdf]

[bib]

@article{RISC5938,
author = {J. Ablinger and J. Blümlein and M. Round and C. Schneider},
title = {{Numerical Implementation of Harmonic Polylogarithms to Weight w = 8}},
language = {english},
journal = {Comput. Phys. Comm.},
volume = {240},
pages = {189--201},
isbn_issn = {ISSN 0010-4655},
year = {2019},
note = {arXiv:1809.07084 [hep-ph]},
refereed = {yes},
length = {12},
url = {https://www.doi.org/10.1016/j.cpc.2019.02.005}
}

2018

[Round]

Refined Holonomic Summation Algorithms in Particle Physics

J. Blümlein, M. Round, C. Schneider

In: Advances in Computer Algebra. WWCA 2016., E. Zima, C. Schneider (ed.), Springer Proceedings in Mathematics & Statistics 226, pp. 51-91. 2018. Springer, ISSN 2194-1009. arXiv:1706.03677 [cs.SC]. [doi] [pdf]

[bib]

@incollection{RISC5462,
author = {J. Blümlein and M. Round and C. Schneider},
title = {{Refined Holonomic Summation Algorithms in Particle Physics}},
booktitle = {{ Advances in Computer Algebra. WWCA 2016.}},
language = {english},
series = {Springer Proceedings in Mathematics & Statistics },
volume = {226},
pages = {51--91},
publisher = {Springer},
isbn_issn = {ISSN 2194-1009},
year = {2018},
note = {arXiv:1706.03677 [cs.SC]},
editor = {E. Zima and C. Schneider},
refereed = {yes},
length = {39},
url = {https://www.doi.org/10.1007/978-3-319-73232-9_3}
}

[Round]

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. 2018. ISSN 1824-8039. arXiv:1712.08541 [hep-th]. [doi]

[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 = {2018},
note = { arXiv:1712.08541 [hep-th]},
editor = {A. Hoang and C. Schneider},
refereed = {no},
length = {7},
url = {https://doi.org/10.22323/1.290.0010 }
}

2016

[Round]

3-Loop Corrections to the Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering

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

In: Proceedings of the European Physical Society Conference on High Energy Physics (EPS-HEP), PoS(EPS-HEP2015)504, pp. 1-13. 2016. ISSN 1824-8039. arXiv:1602.00583 [hep-ph]. [doi]

[bib]

@inproceedings{RISC5247,
author = {J. Ablinger and A. Behring and J. Blümlein and A. De Freitas and A. Hasselhuhn and A. von Manteuffel and C.G. Raab and M. Round and C. Schneider and F. Wißbrock},
title = {{3-Loop Corrections to the Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering}},
booktitle = {{Proceedings of the European Physical Society Conference on High Energy Physics (EPS-HEP)}},
language = {english},
volume = {PoS(EPS-HEP2015)504},
pages = {1--13},
isbn_issn = {ISSN 1824-8039},
year = {2016},
note = {arXiv:1602.00583 [hep-ph]},
editor = {?},
refereed = {yes},
length = {13},
url = {https://doi.org/10.22323/1.234.0504}
}

[Round]

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]. [doi]

[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://doi.org/10.22323/1.284.0052 }
}

[Round]

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]. [doi]

[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 = {https://doi.org/10.22323/1.260.0065 }
}

2015

[Round]

3-loop Massive $O(T_F^2)$ Contributions to the DIS Operator Matrix Element $A_{gg}$

J. Ablinger, J. Blümlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, M. Round, C. Schneider

In: 17th International Conference in Quantum Chromodynamics (QCD 14), Stephan Narison (ed.), Proceedings of QCD Montpellier Conference, Nucl. Phys. B (Proc. Suppl.) 258-259, pp. 37-40. 2015. ISSN 0550-3213. arXiv:1409.1435 [hep-ph]. [doi] [pdf]

[bib]

@inproceedings{RISC5047,
author = {J. Ablinger and J. Blümlein and A. De Freitas and A. Hasselhuhn and A. von Manteuffel and M. Round and C. Schneider},
title = {{3-loop Massive $O(T_F^2)$ Contributions to the DIS Operator Matrix Element $A_{gg}$}},
booktitle = {{17th International Conference in Quantum Chromodynamics (QCD 14)}},
language = {english},
series = {Nucl. Phys. B (Proc. Suppl.)},
volume = {258-259},
pages = {37--40},
isbn_issn = {ISSN 0550-3213},
year = {2015},
note = {arXiv:1409.1435 [hep-ph]},
editor = {Stephan Narison},
refereed = {yes},
length = {4},
conferencename = {QCD Montpellier Conference},
url = {https://www.dx.doi.org/10.1016/j.nuclphysbps.2015.01.009}
}

[Round]

3-loop heavy flavor Wilson coefficients in deep-inelastic scattering

J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, C. Raab, M. Round, S. Schneider, F. Wißbrock

In: 17th International Conference in Quantum Chromodynamics (QCD 14), Stephan Narison (ed.), Nucl. Phys. B (Proc. Suppl.) 258-259, pp. 41-44. 2015. ISSN 0550-3213. arXiv:1409.1804 [hep-ph]. [doi] [pdf]

[bib]

@inproceedings{RISC5060,
author = {J. Ablinger and A. Behring and J. Blümlein and A. De Freitas and A. Hasselhuhn and A. von Manteuffel and C. Raab and M. Round and S. Schneider and F. Wißbrock},
title = {{3-loop heavy flavor Wilson coefficients in deep-inelastic scattering}},
booktitle = {{17th International Conference in Quantum Chromodynamics (QCD 14)}},
language = {english},
series = {Nucl. Phys. B (Proc. Suppl.)},
volume = {258-259},
pages = {41--44},
isbn_issn = {ISSN 0550-3213},
year = {2015},
note = { arXiv:1409.1804 [hep-ph]},
editor = {Stephan Narison},
refereed = {yes},
length = {4},
url = {https://www.dx.doi.org/10.1016/j.nuclphysbps.2015.01.010}
}

2014

[Round]

New Results on the 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering

A. Behring, J. Bluemlein, A. De Freitas, T. Pfoh, C. Raab, M. Round, J. Ablinger, A. Hasselhuhn, C. Schneider, F. Wissbrock, A. von Manteuffel

In: Proc. of RADCOR, , PoS(RADCOR 2013)058 , pp. 1-21. 2014. ISSN 1824-8039. arXiv:1312.0124 [hep-ph]. [doi]

[bib]

@inproceedings{RISC4875,
author = {A. Behring and J. Bluemlein and A. De Freitas and T. Pfoh and C. Raab and M. Round and J. Ablinger and A. Hasselhuhn and C. Schneider and F. Wissbrock and A. von Manteuffel},
title = {{New Results on the 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering}},
booktitle = {{Proc. of RADCOR}},
language = {english},
series = {PoS(RADCOR 2013)058},
pages = {1--21},
isbn_issn = {ISSN 1824-8039},
year = {2014},
note = {arXiv:1312.0124 [hep-ph]},
editor = {?},
refereed = {yes},
length = {21},
url = {https://doi.org/10.22323/1.197.0058 }
}

[Round]

The Transition Matrix Element $A_{gq}(N)$ of the Variable Flavor Number Scheme at $O(\alpha_s^3)$

J. Ablinger, J. Bluemlein, A. De Freitas A. Hasselhuhn, A. von Manteuffel, M. Round, C. Schneider, F. Wissbrock

Nuclear Physics B 882, pp. 263-288. 2014. ISSN: 0550-3213. arXiv:1402.0359 [hep-ph]. [doi]

[bib]

@article{RISC4951,
author = {J. Ablinger and J. Bluemlein and A. De Freitas A. Hasselhuhn and A. von Manteuffel and M. Round and C. Schneider and F. Wissbrock},
title = {{The Transition Matrix Element $A_{gq}(N)$ of the Variable Flavor Number Scheme at $O(\alpha_s^3)$}},
language = {english},
journal = {Nuclear Physics B},
volume = {882},
pages = { 263--288},
isbn_issn = {ISSN: 0550-3213},
year = {2014},
note = {arXiv:1402.0359 [hep-ph]},
refereed = {yes},
length = {25},
url = {http://dx.doi.org/10.1016/j.nuclphysb.2014.02.007}
}

[Round]

The $O(alpha_s^3 T_F^2)$ Contributions to the Gluonic Operator Matrix Element

J. Ablinger, J. Bluemlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, M. Round, C. Schneider

Nuclear Physics B 885, pp. 280-317. 2014. ISSN: 0550-3213. arXiv:1405.4259 [hep-ph]. [doi]

[bib]

@article{RISC4988,
author = {J. Ablinger and J. Bluemlein and A. De Freitas and A. Hasselhuhn and A. von Manteuffel and M. Round and C. Schneider},
title = {{The $O(alpha_s^3 T_F^2)$ Contributions to the Gluonic Operator Matrix Element}},
language = {english},
journal = {Nuclear Physics B},
volume = {885},
pages = {280--317},
isbn_issn = {ISSN: 0550-3213},
year = {2014},
note = { arXiv:1405.4259 [hep-ph]},
refereed = {yes},
length = {38},
url = {https://doi.org/10.1016/j.nuclphysb.2014.05.028}
}

[Round]

The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for thE Structure Function $F_2(x, Q^2)$ and Transversity

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

Nuclear Physics B 886, pp. 733-823. 2014. ISSN: 0550-3213. arXiv:1406.4654 [hep-ph]. [doi]

[bib]

@article{RISC5007,
author = {J. Ablinger and A. Behring and J. Bluemlein and A. De Freitas and A. Hasselhuhn and A. von Manteuffel and M. Round and C. Schneider and F. Wissbrock},
title = {{ The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for thE Structure Function $F_2(x,Q^2)$ and Transversity}},
language = {english},
journal = {Nuclear Physics B},
volume = {886},
pages = {733--823},
isbn_issn = {ISSN: 0550-3213},
year = {2014},
note = {arXiv:1406.4654 [hep-ph]},
refereed = {yes},
length = {91},
url = {https://doi.org/10.1016/j.nuclphysb.2014.07.010}
}

[Round]

3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering with Two Heavy Quark Lines

J. Ablinger, J. Blümlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, M. Round, C. Schneider, F. Wißbrock

In: Proceedings of Loops and Legs in Quantum Field Theory - LL 2014, J. Bluemlein, P. Marquard, T. Riemann (ed.), PoS(LL2014)015 , pp. 1-10. 2014. ISSN 1824-8039. arXiv:1407.2821 [hep-ph]. [doi]

[bib]

@inproceedings{RISC5016,
author = {J. Ablinger and J. Blümlein and A. De Freitas and A. Hasselhuhn and A. von Manteuffel and M. Round and C. Schneider and F. Wißbrock},
title = {{3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering with Two Heavy Quark Lines}},
booktitle = {{Proceedings of Loops and Legs in Quantum Field Theory - LL 2014}},
language = {english},
series = {PoS(LL2014)015},
pages = {1--10},
isbn_issn = {ISSN 1824-8039},
year = {2014},
note = {arXiv:1407.2821 [hep-ph]},
editor = {J. Bluemlein and P. Marquard and T. Riemann},
refereed = {yes},
length = {10},
url = {https://doi.org/10.22323/1.211.0015 }
}

[Round]

Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scattering

J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, C. Raab, M. Round, C. Schneider, F. Wißbrock

In: Loops and Legs in Quantum Field Theory - LL 2014, J. Bluemlein, P. Marquard, T. Riemann (ed.), PoS(LL2014)041 , pp. 1-11. 2014. ISSN 1824-8039. arXiv:1407.3638 [hep-ph]. [doi]

[bib]

@inproceedings{RISC5023,
author = {J. Ablinger and A. Behring and J. Blümlein and A. De Freitas and A. Hasselhuhn and A. von Manteuffel and C. Raab and M. Round and C. Schneider and F. Wißbrock},
title = {{Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scattering}},
booktitle = {{Loops and Legs in Quantum Field Theory - LL 2014}},
language = {english},
series = {PoS(LL2014)041},
pages = {1--11},
isbn_issn = {ISSN 1824-8039},
year = {2014},
note = {arXiv:1407.3638 [hep-ph]},
editor = {J. Bluemlein and P. Marquard and T. Riemann},
refereed = {yes},
length = {11},
url = {https://doi.org/10.22323/1.211.0041}
}

2013

[Round]

Recent Results on the 3-Loop Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering

J. Ablinger, J. Bluemlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, C. Raab, M. Round, C. Schneider, F. Wissbrock

In: XXI International Workshop on Deep-Inelastic Scattering and Related Subjects - DIS2013, PoS(DIS 2013)301, pp. 1-8. 2013. ISSN 1824-8039. arXiv:1307.7548 [hep-ph]. [doi]

[bib]

@inproceedings{RISC4760,
author = {J. Ablinger and J. Bluemlein and A. De Freitas and A. Hasselhuhn and A. von Manteuffel and C. Raab and M. Round and C. Schneider and F. Wissbrock},
title = {{Recent Results on the 3-Loop Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering}},
booktitle = {{XXI International Workshop on Deep-Inelastic Scattering and Related Subjects - DIS2013}},
language = {english},
volume = {PoS(DIS 2013)301},
pages = {1--8},
isbn_issn = {ISSN 1824-8039},
year = {2013},
note = {arXiv:1307.7548 [hep-ph]},
editor = {?},
refereed = {no},
length = {8},
url = {https://doi.org/10.22323/1.191.0301 }
}

2012

[Round]

Advanced Computer Algebra Algorithms for the Expansion of Feynman Integrals

J. Ablinger, J. Bluemlein, M. Round, C. Schneider

In: Loops and Legs in Quantum Field Theory 2012, J. Bluemlein, S. Moch, T. Riemann (ed.), PoS(LL2012) 50, pp. 1-14. 2012. ISSN 1824-8039. arXiv:1210.1685 [cs.SC]. [doi]

[bib]

@inproceedings{RISC4596,
author = {J. Ablinger and J. Bluemlein and M. Round and C. Schneider},
title = {{Advanced Computer Algebra Algorithms for the Expansion of Feynman Integrals}},
booktitle = {{Loops and Legs in Quantum Field Theory 2012}},
language = {english},
series = {PoS(LL2012)},
volume = {50},
pages = {1--14},
isbn_issn = {ISSN 1824-8039},
year = {2012},
note = {arXiv:1210.1685 [cs.SC]},
editor = { J. Bluemlein and S. Moch and T. Riemann},
refereed = {yes},
length = {14},
url = {https://doi.org/10.22323/1.151.0050 }
}

[Round]

Three-Loop Contributions to the Gluonic Massive Operator Matrix Elements at General Values of N

J. Ablinger, J. Bluemlein, A. De Freitas, A. Hasselhuhn, S. Klein, C. Raab, M. Round, C. Schneider, F. Wissbrock

In: Proc. Loops and Legs in Quantum Field Theory 2012, J. Blümlein, S. Moch, T. Riemann (ed.), PoS(LL2012)033 , pp. 1-12. 2012. ISSN 1824-8039. arXiv:1212.6823 [hep-ph]. [doi]

[bib]

@inproceedings{RISC4614,
author = {J. Ablinger and J. Bluemlein and A. De Freitas and A. Hasselhuhn and S. Klein and C. Raab and M. Round and C. Schneider and F. Wissbrock},
title = {{Three-Loop Contributions to the Gluonic Massive Operator Matrix Elements at General Values of N}},
booktitle = {{Proc. Loops and Legs in Quantum Field Theory 2012}},
language = {english},
series = {PoS(LL2012)033},
pages = {1--12},
isbn_issn = {ISSN 1824-8039},
year = {2012},
note = {arXiv:1212.6823 [hep-ph]},
editor = { J. Blümlein and S. Moch and T. Riemann},
refereed = {yes},
length = {12},
url = {https://doi.org/10.22323/1.151.0033 }
}