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. 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]
  3. 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]
  4. 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]
  5. 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]
  6. 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]
  7. 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]
  8. 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]
  9. 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]
10. 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]
11. 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]
12. 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]
13. 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]
14. 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]
15. 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]
16. 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]
17. 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]
18. 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]
19. 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]
20. 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]