Univ.-Prof. Dr. Carsten Schneider
Johannes Kepler University Linz
RISC - Research Institute for Symbolic Computation
Carsten.Schneider@risc.jku.at (Tel: +43 732 2468 9966)

Publications

Note: Further information can be found, e.g., on MathSciNet, Google Scholar, ResearchGate, zbMath, Web of Science, Scopus, Inspire, or ORCID.



Type: [any] [Papers] [Theses] [Technical Reports] [Other] 
Year: [any] [2024] [2023] [2022] [2021] [2020] [2019] [2018] [2017] [2016] [2015] [earlier] 

  1. J. Ablinger, J. Blümlein, A. De Freitas, A. Goedicke, C. Schneider, K. Schönwald. The Two-mass Contribution to the Three-Loop Gluonic Operator Matrix Element $A_{gg, Q}^{(3)}$. Nucl. Phys. B 932, pp. 129-240. 2018. ISSN 0550-3213. arXiv:1804.02226 [hep-ph]. [url] [bib]
  2. C. Schneider, E. Zima (ed.). Advances in Computer Algebra. WWCA 2016. Springer Proceedings in Mathematics & Statistics, 226, 2018. Springer, ISSN 2194-1009. [url] [bib]
  3. A. Hoang, C. Schneider (ed.). Proc. RADCOR 2017. Proceedings of RADCOR 2017 - 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology) , Proceedings of Science, 290, 2018. ISSN 1824-8039. [url] [bib]
  4. 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. Iterative and Iterative-Noniterative Integral Solutions in 3-Loop Massive QCD Calculations. 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. 2018. ISSN 1824-8039. arXiv:1711.09742 [hep-ph]. [url] [bib]
  5. J. Middeke, C. Schneider. Denominator Bounds for Systems of Recurrence Equations using ΠΣ-Extensions. In: Advances in Computer Algebra. WWCA 2016., C. Schneider, E. Zima (ed.), Springer Proceedings in Mathematics & Statistics 226, pp. 149-173. 2018. Springer, ISSN 2194-1009. arXiv:1705.00280 [cs.SC]. [url] [pdf] [bib]
  6. E.D. Ocansey, C. Schneider. Representing (q-)hypergeometric products and mixed versions in difference rings. In: Advances in Computer Algebra. WWCA 2016., C. Schneider, E. Zima (ed.), Springer Proceedings in Mathematics & Statistics 226, pp. 175-213. 2018. Springer, ISSN 2194-1009. arXiv:1705.01368 [cs.SC]. [url] [pdf] [bib]
  7. J. Ablinger, J. Blümlein, A. De Freitas, M. van Hoeij, E. Imamoglu, C.G. Raab, C.-S. Radu, C. Schneider. Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams. J. Math. Phys. 59(062305), pp. 1-55. 2018. ISSN 0022-2488. arXiv:1706.01299 [hep-th]. [url] [pdf] [bib]
  8. J. Blümlein, M. Round, C. Schneider. Refined Holonomic Summation Algorithms in Particle Physics. 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]. [url] [pdf] [bib]
  9. J. Ablinger, J. Blümlein, A. De Freitas, C. Schneider, K. Schönwald. The two-mass contribution to the three-loop pure singlet operator matrix element. Nucl. Phys. B(927), pp. 339-367. 2018. ISSN 0550-3213. arXiv:1711.06717 [hep-ph]. [url] [bib]
10. J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, C. Schneider. Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering: Recent Results. In: Proceedings of QCDEV2017, L. Gamberg, A. Prokudin, J.W. Qiu and A. Radyushkin (ed.)PoS(QCDEV2017)031 , pp. 1-10. 2018. ISSN 1824-8039. arXiv:1711.07957 [hep-ph]. [url] [bib]
11. J. Ablinger, C. Schneider. Algebraic independence of sequences generated by (cyclotomic) harmonic sums. Annals of Combinatorics 22(2), pp. 213-244. 2018. ISSN: 0218-0006. arXiv:1510.03692 [cs.SC]. [url] [pdf] [bib]
12. J. Ablinger, J. Blümlein, A. De Freitas, A. Goedicke, C. Schneider, K. Schönwald, F. Wißbrock. The massive 3-loop operator matrix elements with two masses and the generalized variable flavor number scheme. 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. 2018. ISSN 1824-8039. arXiv:1712.00745 [hep-ph]. [url] [bib]
13. Jakob Ablinger, Johannes Blümlein, Mark Round, Carsten Schneider. Special functions, transcendentals and their numerics. 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]. [url] [bib]
14. J. Ablinger, A. Behring, J. Bluemlein, G. Falcioni, A. De Freitas, P. Marquard, N. Rana, C. Schneider. The Heavy Quark Form Factors at Two Loops. Physical Review D 97(094022), pp. 1-44. 2018. ISSN 1550-2368. arXiv:1712.09889 [hep-ph]. [url] [bib]
15. J. Blümlein, A. De Freitas, C. Schneider, K. Schönwald. The Variable Flavor Number Scheme at Next-to-Leading Order. Physics Letters B 782, pp. 362-366. 2018. ISSN: 0370-2693. arXiv:1804.03129 [hep-ph]. [url] [bib]
16. J. Ablinger, J. Blümlein, P. Marquard, N. Rana, C. Schneider. Heavy Quark Form Factors at Three Loops in the Planar Limit. Physics Letters B 782, pp. 528-532. 2018. ISSN: 0370-2693. arXiv:1804.07313 [hep-ph]. [url] [bib]
17. J. Blümlein, C. Schneider. Analytic Computing Methods for Precision Calculations in Quantum Field Theory. INTERNATIONAL JOURNAL OF MODERN PHYSICS A (IJMPA) 33(1830015), pp. 1-35. 2018. ISSN: 1793-656X. arXiv:1809.02889 [hep-ph]. [url] [bib]
18. J. Blümlein, A. De Freitas, M. van Hoeij, E. Imamoglu, P. Marquard, C. Schneider. The ρ parameter at three loops and elliptic integrals. In: Proceedings of "Loops and Legs in Quantum Field Theory - LL 2018", 29 April - 4 May 2018, J. Blümlein, P. Marquard (ed.), PoS(LL2018)017 , pp. 1-14. 2018. ISSN 1824-8039. arXiv:1807.05287 [hep-ph]. [url] [bib]
19. J. Ablinger, J. Blümlein, A. De Freitas, A. Goedicke, C. Schneider, K. Schönwald. Two-mass three-loop effects in deep-inelastic scattering. In: Proceedings of "Loops and Legs in Quantum Field Theory - LL 2018, J. Blümlein, P. Marquard (ed.), PoS(LL2018)051 , pp. 1-8. 2018. ISSN 1824-8039. arXiv:1807.07855 [hep-ph]. [url] [bib]
20. Jakob Ablinger, Johannes Bluemlein, Peter Marquard, Narayan Rana, Carsten Schneider. Massive three loop form factors in the planar limit. In: Proceedings of "Loops and Legs in Quantum Field Theory - LL 2018, J. Blümlein, P. Marquard (ed.), PoS(LL2018)009 , pp. 1-10. 2018. ISSN 1824-8039. ISSN 1824-8039. [url] [bib]
21. J. Blümlein, C. Schneider. Computer algebra tools for Feynman integrals and related multi-sums. In: Proceedings of Loops and Legs in Quantum Field Theory - LL 2018, J. Blümlein, P. Marquard (ed.), PoS(LL2018)052 , pp. 1-17. 2018. ISSN 1824-8039. arXiv:1809.06168 [cs.SC]. [url] [bib]
22. Johannes Middeke, Carsten Schneider. Towards a Direct Method for Finding Hypergeometric Solutions of Linear First Order Recurrence Systems. 2018. Extended abstract appeared in ACM Communications Vol. 52, No. 3, Issue 205, September 2018. Poster presentation at ISSAC 2018. [pdf] [bib]
23. Johannes Middeke, Carsten Schneider. Towards a Direct Method for Finding Hypergeometric Solutions of Linear First Order Recurrence Systems. ACM Communications 52(3), pp. 185-187. September 2018. 0000. Extended abstract of the poster presentation at 43st International Symposium on Symbolic and Algebraic Computation (ISSAC'18). [url] [pdf] [bib]