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. | Representation of hypergeometric products of higher nesting depths in difference rings. J. Symb. Comput. 120, pp. 1-50. 2024. ISSN: 0747-7171. arXiv:2011.08775 [cs.SC]. [url] [bib] |
2. | The first-order factorizable contributions to the three-loop massive operator matrix elements $A_{Qg}^{(3)}$ and $Delta A_{Qg}^{(3)}$. Nuclear Physics B 999(116427), pp. 1-42. 2024. ISSN 0550-3213. arXiv:2311.00644 [hep-ph]. [url] [bib] |
3. | Hypergeometric Structures in Feynman Integrals. Annals of Mathematics and Artificial Intelligence 91(5), pp. 591-649. 2023. ISSN 1573-7470. arXiv:2111.15501 [math-ph]. [url] [bib] |
4. | Refined telescoping algorithms in $RPiSigma$-extensions to reduce the degrees of the denominators. In: ISSAC '23: Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation, Gabriela Jeronimo (ed.), pp. 498-507. July 2023. ACM, ISBN 9798400700392. arXiv:2302.03563 [cs.SC]. [url] [bib] |
5. | Error bounds for the asymptotic expansion of the partition function. Rocky Mt J Math to appear, pp. ?-?. 2023. ISSN: 357596. arXiv:2209.07887 [math.NT]. [url] [bib] |
6. | Computing Mellin representations and asymptotics of nested binomial sums in a symbolic way: the RICA package. ACM Communications in Computer Algebra 57(2), pp. 31-34. June 2023. ISSN:1932-2240. arXiv:2308.06042 [hep-ph]. [url] [bib] |
7. | Analytic results on the massive three-loop form factors: quarkonic contributions. Physical Review D 108(094003), pp. 1-73. 2023. ISSN 2470-0029. arXiv:2307.02983 [hep-ph]. [url] [bib] |
8. | Recent 3-Loop Heavy Flavor Corrections to Deep-Inelastic Scattering. In: Proc. of the 16th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology , Giulio Falcioni (ed.), PoS RADCOR2023046, pp. 1-7. June 2023. ISSN 1824-8039. arXiv:2306.16550 [hep-ph]. [url] [bib] |
9. | The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements. Journal of High Energy Physics 2022(193), pp. 0-32. 2022. ISSN 1029-8479 . arXiv:2111.12401 [hep-ph]. [url] [bib] |
10. | New 2– and 3–loop heavy flavor corrections to unpolarized and polarized deep-inelastic scattering. SciPost Phys. Proc.(8), pp. 137.1-137.15. 2022. ISSN 2666-4003. DIS2021, arXiv:2107.09350 [hep-ph]. [url] [bib] |
11. | The SAGEX Review on Scattering Amplitudes, Chapter 4: Multi-loop Feynman Integrals. J. Phys. A: Math. Theor. 55(44), pp. 1-37. 2022. IOP Publishing Ltd, ISSN: 1751-8121. arXiv:2203.13015 [hep-th]. [url] [bib] |
12. | The Two-Loop Massless Off-Shell QCD Operator Matrix Elements to Finite Terms. Nuclear Physics B 980, pp. 1-131. 2022. ISSN 0550-3213. arXiv:2202.03216 [hep-ph]. [url] [bib] |
13. | The 3-loop anomalous dimensions from off-shell operator matrix elements. In: Proceedings of Loops and Legs in Quantum Field Theory, PoS(LL2022) 48, P. Marquard, M. Steinhauser (ed.)416, pp. 1-12. July 2022. ISSN 1824-8039. arXiv:2207.07943 [hep-ph]. [url] [bib] |
14. | The SAGEX Review on Scattering Amplitudes. J. Phys. A: Math. Theor. 55(44), pp. 1-12. 2022. arxiv.2203.13011 [hep-th], ISSN: 1751-8121. [url] [bib] |
15. | Computer Algebra and Hypergeometric Structures for Feynman Integrals. In: Proceedings of Loops and Legs in Quantum Field Theory, PoS(LL2022) 041, P. Marquard, M. Steinhauser (ed.)416, pp. 1-11. 2022. ISSN 1824-8039. arXiv:2207.08524 [math-ph]. [url] [bib] |
16. | The massless three-loop Wilson coefficients for the deep-inelastic structure functions $F_2, F_L, xF_3$ and $g_1$. Journal of High Energy Physics(Paper No. 156), pp. 1-83. 2022. ISSN 1029-8479. arXiv:2208.14325 [hep-ph]. [url] [bib] |
17. | The Unpolarized and Polarized Single-Mass Three-Loop Heavy Flavor Operator Matrix Elements $A_{gg, Q}$ and $Delta A_{gg, Q}$. Journal of High Energy Physics 2022(12, Article 134), pp. 1-55. 2022. ISSN 1029-8479. arXiv:2211.05462 [hep-ph]. [url] [bib] |
18. | The Absent-Minded Passengers Problem: A Motivating Challenge Solved by Computer Algebra. Mathematics in Computer Science 15(4), pp. 577-588. 2021. ISSN 1661-8289. arXiv:2003.01921 [math.CO]. [url] [bib] |
19. | Three loop heavy quark form factors and their asymptotic behavior. In: Proc.of 23rd DAE-BRNS High Energy Physics Symposium 2018, Behera, P.K., Bhatnagar, V., Shukla, P., Sinha, R. (ed.), Springer Proceedings in Physics 261, pp. 91-100. 2021. Springer, ISBN 978-981-33-4407-5. arXiv:1906.05829 [hep-ph]. [url] [pdf] [bib] |
20. | Solving linear difference equations with coefficients in rings with idempotent representations. In: Proceedings of the 2021 International Symposium on Symbolic and Algebraic Computation (Proc. ISSAC 21), Marc Mezzarobba (ed.), pp. 27-34. 2021. ISBN 978-1-4503-8382-0/21/06. arXiv:2102.03307 [cs.SC]. [url] [pdf] [bib] |
21. | A case study for ζ(4). In: Transcendence in Algebra, Combinatorics, Geometry and Number Theory. TRANS 2019, Alin Bostan and Kilian Raschel (ed.), Proceedings in Mathematics & Statistics 373, pp. 421-435. 2021. Springer, ISBN 978-3-030-84304-5. arXiv:2004.08158 [math.NT]. [url] [pdf] [bib] |
22. | On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in ΠΣ∗-field extensions. J. Symb. Comput. 107, pp. 23-66. 2021. ISSN 0747-7171. arXiv:2005.04944 [cs.SC]. [url] [pdf] [bib] |
23. | The Polarized Transition Matrix Element $A_{g, q}(N)$ of the Variable Flavor Number Scheme at $O(alpha_s^3)$. Nuclear Physics B 964, pp. 115331-115356. 2021. ISSN 0550-3213. arXiv:2101.05733 [hep-ph]. [url] [bib] |
24. | Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation. In: Anti-Differentiation and the Calculation of Feynman Amplitudes, J. Blümlein and C. Schneider (ed.), Texts and Monographs in Symbolic Computuation , pp. 423-485. 2021. Springer, ISBN 978-3-030-80218-9. arXiv:2102.01471 [cs.SC], RISC-Linz Report Series No. 21-03. [url] [pdf] [bib] |
25. | Iterated integrals over letters induced by quadratic forms. Physical Review D 103(9), pp. 096025-096035. 2021. ISSN 2470-0029. arXiv:2103.08330 [hep-th]. [url] [bib] |
26. | The Logarithmic Contributions to the Polarized $O(alpha_s^3)$ Asymptotic Massive Wilson Coefficients and Operator Matrix Elements in Deeply Inelastic Scattering. Physical Review D 104(3), pp. 1-73. 2021. ISSN 2470-0029. arXiv:2105.09572 [hep-ph]. [url] [bib] |
27. | The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements. Nucl. Phys. B 971, pp. 1-44. 2021. ISSN 0550-3213. arXiv:2107.06267 [hep-ph]. [url] [bib] |
28. | Three loop QCD corrections to heavy quark form factors. In: Proc. ACAT 2019, , J. Phys.: Conf. Ser. 1525012018, pp. 1-10. 2020. ISSN 1742-6596. arXiv:1905.03728 [hep-ph]. [url] [bib] |
29. | Evaluation of binomial double sums involving absolute values. In: Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra, in Honour of Peter Paule on his 60th Birthday, V. Pillwein, C. Schneider (ed.), Texts and Monographs in Symbolic Computuation , pp. 249-295. 2020. Springer, ISBN 978-3-030-44558-4. arXiv:1607.05314 [math.CO]. [url] [pdf] [bib] |
30. | Minimal representations and algebraic relations for single nested products. Programming and Computer Software 46(2), pp. 133-161. 2020. ISSN 1608-3261. arXiv:1911.04837 [cs.SC]. [url] [pdf] [bib] |
31. | From Momentum Expansions to Post-Minkowskian Hamiltonians by Computer Algebra Algorithms. Physics Letters B 801(135157), pp. 1-8. 2020. ISSN 0370-2693. arXiv:1911.04411 [gr-qc]. [url] [bib] |
32. | Heavy quark form factors at three loops. In: 14th International Symposium on Radiative Corrections (RADCOR2019), D. Kosower, M. Cacciari (ed.)POS(RADCOR2019)013, pp. 1-7. 2020. ISSN 1824-8039. [url] [bib] |
33. | A refined machinery to calculate large moments from coupled systems of linear differential equations. In: 14th International Symposium on Radiative Corrections (RADCOR2019), D. Kosower, M. Cacciari (ed.), POS(RADCOR2019)078 , pp. 1-13. 2020. ISSN 1824-8039. arXiv:1912.04390 [cs.SC]. [url] [bib] |
34. | The Polarized Three-Loop Anomalous Dimensions from a Massive Calculation. In: 14th International Symposium on Radiative Corrections (RADCOR2019), D. Kosower, M. Cacciari (ed.), POS(RADCOR2019)047 arXiv:1911.06189 [hep-ph], pp. 1-10. 2020. ISSN 1824-8039. [url] [bib] |
35. | The three-loop polarized pure singlet operator matrix element with two different masses. Nuclear Physics B 952(114916), pp. 1-18. 2020. ISSN 0550-3213. arXiv:1911.11630 [hep-ph]. [url] [bib] |
36. | The three-loop single mass polarized pure singlet operator matrix element. Nuclear Physics B 953(114945), pp. 1-25. 2020. ISSN 0550-3213. arXiv:1912.02536 [hep-ph]. [url] [bib] |
37. | The Two-mass Contribution to the Three-Loop Polarized Operator Matrix Element $A_{gg, Q}^{(3)}$ . Nuclear Physics B 955, pp. 1-70. 2020. ISSN 0550-3213. arXiv:2004.08916 [hep-ph]. [url] [bib] |
38. | Towards a symbolic summation theory for unspecified sequences. In: Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory, J. Blümlein, P. Paule, C. Schneider (ed.), Texts and Monographs in Symbolic Computation , pp. 351-390. 2019. Springer, ISBN 978-3-030-04479-4. arXiv:1809.06578 [cs.SC]. [url] [pdf] [bib] |
39. | Automated Solution of First Order Factorizable Systems of Differential Equations in One Variable. Nucl. Phys. B 939, pp. 253-291. 2019. ISSN 0550-3213. arXiv:1810.12261 [hep-ph]. [url] [bib] |
40. | Numerical Implementation of Harmonic Polylogarithms to Weight w = 8. Comput. Phys. Comm. 240, pp. 189-201. 2019. ISSN 0010-4655. arXiv:1809.07084 [hep-ph]. [url] [pdf] [bib] |
41. | The Heavy Fermion Contributions to the Massive Three Loop Form Factors. Nuclear Physics B 949(114751), pp. 1-97. 2019. ISSN 0550-3213. arXiv:1908.00357 [hep-ph]. [url] [bib] |
42. | The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements. Nuclear Physics B 948(114753), pp. 1-41. 2019. ISSN 0550-3213. arXiv:1908.03779 [hep-ph]. [url] [bib] |
43. | 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] |
44. | 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] |
45. | 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] |
46. | 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] |
47. | 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] |
48. | 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] |
49. | 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] |
50. | 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] |
51. | 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] |
52. | 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] |
53. | 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] |
54. | 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] |
55. | 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] |
56. | 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] |
57. | 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] |
58. | 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] |
59. | 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] |
60. | 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] |
61. | 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] |
62. | 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] |
63. | Summation Theory II: Characterizations of $RPiSigma$-extensions and algorithmic aspects. J. Symb. Comput. 80(3), pp. 616-664. 2017. ISSN 0747-7171. arXiv:1603.04285 [cs.SC]. [url] [pdf] [bib] |
64. | Asymptotic and exact results on the complexity of the Novelli-Pak-Stoyanovskii algorithm. Electron. J. Combin. 24(2), pp. 1-33. 2017. ISSN: 1077-8926. #P2.28, arXiv:1606.07597. [url] [bib] |
65. | The Method of Arbitrarily Large Moments to Calculate Single Scale Processes in Quantum Field Theory. Physics Letters B 771, pp. 31-36. 2017. ISSN 0370-2693. arXiv:1701.04614 [hep-ph]. [url] [bib] |
66. | The Three-Loop Splitting Functions $P_{qg}^{(2)}$ and $P_{gg}^{(2, \rm N_F)}$. Nucl. Phys. B. 922, pp. 1-40. 2017. ISSN 0550-3213.. arXiv:1705.01508 [hep-ph]. [url] [bib] |
67. | Three Loop Massive Operator Matrix Elements and Asymptotic Wilson Coefficients with Two Different Masses. Nucl. Phys. B. 921, pp. 585-688. 2017. ISSN 0550-3213. arXiv:1705.07030 [hep-ph]. [url] [bib] |
68. | Heavy quark form factors at two loops in perturbative QCD. 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] |
69. | A Difference Ring Theory for Symbolic Summation. J. Symb. Comput. 72, pp. 82-127. 2016. ISSN 0747-7171. arXiv:1408.2776 [cs.SC]. [url] [bib] |
70. | Calculating Three Loop Ladder and V-Topologies for Massive Operator Matrix Elements by Computer Algebra. Comput. Phys. Comm. 202, pp. 33-112. 2016. ISSN 0010-4655. arXiv:1509.08324 [hep-ph]. [url] [pdf] [bib] |
71. | Denominator Bounds for Higher Order Systems of Linear Recurrence Equations. ACM Communications in Computer Algebra 50(4), pp. 185-187. 2016. ISSN 1932-2240. Extended abstract of the poster presentation at ISSAC 2016. [url] [pdf] [pdf] [bib] |
72. | 3-Loop Corrections to the Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering. 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]. [url] [bib] |
73. | Symbolic Summation in Difference Rings and Applications. In: Proc. ISSAC 2016, M. Rosenkranz (ed.), pp. 9-12. 2016. ISBN 978-1-4503-4380-0/16/07. [url] [pdf] [bib] |
74. | Representation of hypergeometric products in difference rings. ACM Communications in Computer Algebra 50(4), pp. 161-163. 2016. ISSN 1932-2240 . Extended abstract of the poster presentation at ISSAC 2016. [url] [pdf] [bib] |
75. | Algorithms to solve coupled systems of differential equations in terms of power series. 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] |
76. | The Asymptotic 3-Loop Heavy Flavor Corrections to the Charged Current Structure Functions $F_L^{W^+-W^-}(x, Q^2)$ and $F_2^{W^+-W^-}(x, Q^2)$. Physical Review D 94(11), pp. 1-19. 2016. ISSN 1550-2368. arXiv:1609.06255 [hep-ph]. [url] [pdf] [bib] |
77. | Heavy flavour corrections to polarised and unpolarised deep-inelastic scattering at 3-loop order. 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] |
78. | New Results on Massive 3-Loop Wilson Coefficients in Deep-Inelastic Scattering. 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] |
79. | A toolbox to solve coupled systems of differential and difference equations. In: Proc. of the 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), Nigel Glover, Daniel Maitre, Ben Pecjak (ed.)PoS(RADCOR2015)060, pp. 1-13. 2016. ISSN 1824-8039. arXiv:1601.01856 [cs.SC]. [url] [bib] |
80. | Fast Algorithms for Refined Parameterized Telescoping in Difference Fields. In: Computer Algebra and Polynomials, Applications of Algebra and Number Theory, Jaime Gutierrez, Josef Schicho, Martin Weimann (ed.), Lecture Notes in Computer Science (LNCS) 8942, pp. 157-191. 2015. Springer, ISSN: 0302-9743 . arXiv:1307.7887 [cs.SC]. [url] [pdf] [bib] |
81. | 3-loop Massive $O(T_F^2)$ Contributions to the DIS Operator Matrix Element $A_{gg}$. 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]. [url] [pdf] [bib] |
82. | The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function $F_2(x, Q^2)$ and the Anomalous Dimension. Nuclear Physics B 890, pp. 48-151. 2015. ISSN 0550-3213. arXiv:1409.1135 [hep-ph]. [url] [bib] |
83. | 3-loop heavy flavor Wilson coefficients in deep-inelastic scattering. 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]. [url] [pdf] [bib] |
84. | Higher Order Heavy Quark Corrections to Deep-Inelastic Scattering. In: Advances in Computational Particle Physics, J. Blümlein, K. Jansen, M. Krämer, J.H. Kühn (ed.), Proceedings of Final Meeting of DFG SFB-TR-9, Nucl. Phys. B (Proc. Suppl.) , pp. 185-201. 2015. ISSN 0550-3213. arXiv:1411.5669 [hep-ph]. [url] [pdf] [bib] |
85. | The 3-Loop Non-Singlet Heavy Flavor Contributions to the Structure Function g_1(x, Q^2) at Large Momentum Transfer. Nucl. Phys. B 897, pp. 612-644. 2015. ISSN 0550-3213.. arXiv:1504.08217 [hep-ph]. [url] [bib] |
86. | The O(alpha_s^3) Heavy Flavor Contributions to the Charged Current Structure Function xF_3(x, Q^2) at Large Momentum Transfer. Physical Review D 92(114005), pp. 1-19. 2015. ISSN 1550-2368. arXiv:1508.01449 [hep-ph]. [url] [pdf] [bib] |
87. | Generalized Harmonic, Cyclotomic, and Binomial Sums, their Polylogarithms and Special Numbers. In: Proc. ACAT 2013, , J. Phys.: Conf. Ser 523012060, pp. 1-10. 2014. ISSN 1742-6596. arXiv:1310.5645 [math-ph]. [url] [bib] |
88. | New Results on the 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering. In: Proc. of RADCOR, , PoS(RADCOR 2013)058 , pp. 1-21. 2014. ISSN 1824-8039. arXiv:1312.0124 [hep-ph]. [url] [bib] |
89. | The Transition Matrix Element $A_{gq}(N)$ of the Variable Flavor Number Scheme at $O(\alpha_s^3)$. Nuclear Physics B 882, pp. 263-288. 2014. ISSN: 0550-3213. arXiv:1402.0359 [hep-ph]. [url] [bib] |
90. | Calculating Massive 3-loop Graphs for Operator Matrix Elements by the Method of Hyperlogarithms. Nuclear Physics B 885, pp. 409-447. 2014. ISSN: 0550-3213. arXiv:1403.1137 [hep-ph]. [url] [bib] |
91. | The $O(alpha_s^3 T_F^2)$ Contributions to the Gluonic Operator Matrix Element. Nuclear Physics B 885, pp. 280-317. 2014. ISSN: 0550-3213. arXiv:1405.4259 [hep-ph]. [url] [bib] |
92. | The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for thE Structure Function $F_2(x, Q^2)$ and Transversity. Nuclear Physics B 886, pp. 733-823. 2014. ISSN: 0550-3213. arXiv:1406.4654 [hep-ph]. [url] [bib] |
93. | Iterated Binomial Sums and their Associated Iterated Integrals. J. Math. Phys. 55(112301), pp. 1-57. 2014. ISSN 0022-2488. arXiv:1407.1822 [hep-th]. [url] [bib] |
94. | Recent Symbolic Summation Methods to Solve Coupled Systems of Differential and Difference Equations. In: Loops and Legs in Quantum Field Theory - LL 2014, J. Bluemlein, P. Marquard, T. Riemann (ed.), PoS(LL2014)017 , pp. 1-13. 2014. ISSN 1824-8039. arXiv:1407.2537 [cs.SC]. [url] [bib] |
95. | 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering with Two Heavy Quark Lines. 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]. [url] [bib] |
96. | Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scattering. 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]. [url] [bib] |
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