- Cusp and collinear anomalous dimensions in four-loop QCD from form factors (arXiv), Physics Review Letters, Vol. 124, 162001 - 24 April 2020
with Andreas von Manteuffel and Robert M. Schabinger
- The four-loop cusp anomalous dimension from the N=4 Sudakov form factor, December 2019
with Tobias Huber, Andreas von Manteuffel, Robert M. Schabinger and Gang Yang
- Hepp's bound for Feynman graphs and matroids, August 2019
- Manifestly dual-conformal loop integration (arXiv), Nuclear Physics B, 942 (May, 2019) p. 251-302,
with Jacob Bourjaily and Falko Dulat
- Multiple zeta values in deformation quantization, December 2018
with Peter Banks and Brent Pym
Introduction: Research case study
- Lambert-W solves the noncommutative φ^{4}-model (arXiv), Communications in Mathematical Physics (October 2019)
with Raimar Wulkenhaar
The story: Mathematician discusses solving a seemingly unsolvable equation
- Feynman integral relations from parametric annihilators (arXiv), Letters in Mathematical Physics, August 2018
with Thomas Bitoun, Christian Bogner and René Pascal Klausen
- Minimally subtracted six loop renormalization of O(n)-symmetric φ^{4} theory and critical exponents (arXiv), Phys. Rev. D 96:036016 (2017)
with Mikhail Kompaniets
- The Galois coaction on ϕ^{4} periods (arXiv), Communications in Number Theory and Physics, Vol. 11, 3:657-705 (2017)
with Oliver Schnetz
- The parity theorem for multiple polylogarithms (arXiv), Journal of Number Theory, March 2017, 172:93-113
- Computation of Form Factors in Massless QCD with Finite Master Integrals (arXiv), Physical Review D, June 2016, 93:125014
with Andreas von Manteuffel and Robert M. Schabinger
- Graphical functions in parametric space (arXiv), Letters in Mathematical Physics (2017) 107:1177-1192
with Marcel Golz and Oliver Schnetz
- A quasi-finite basis for multi-loop Feynman integrals (arXiv), Journal of High Energy Physics, February 2015, 2015:120
with Andreas von Manteuffel and Robert M. Schabinger
- Feynman integrals and hyperlogarithms (also on arXiv), PhD thesis (Humboldt-Universität zu Berlin, supervisor Dirk Kreimer)
submitted 26th August 2014, defended 5th February 2015, last updated 24th June 2015
- Renormalization, Hopf algebras and Mellin transforms (arXiv), pages 169-202 in
Feynman Amplitudes, Periods and Motives
Contemporary Mathematics 648
American Mathematical Society, 2015
ISBN 978-1-4704-2247-9
(Proceedings of Periods and motives - A modern perspective on renormalization held at ICMAT Madrid, July 2-6, 2012)
- Feynman integrals via hyperlogarithms (arXiv), PoS(LL2014)049, proceedings of "Loops & Legs in Quantum Field Theory", Weimar (Germany), April 27th - May 2nd
- Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals (arXiv), Computer Physics Communications 188 (2015), pages 148-166
Please visit the
BitBucket repository
for up-to-date information on HyperInt.
- On hyperlogarithms and Feynman integrals with divergences and many scales (arXiv), Journal of High Energy Physics, March 2014, 2014:71
As mentioned in the article,
explicit results
are provided as a text file. It can be read by Maple™ using
read "results";
Upon request and depending on the necessary effort, further results might be provided. Please do not hesitate to inform me if you encounter problems accessing the data or if another format of the results would be more helpful for you.
- On the analytic computation of massless propagators in dimensional regularization (arXiv version), Nuclear Physics, Section B 874 (2013), pp. 567-593
Here you can retrieve Maple™ files containing the epsilon-expansions of three- and some four-loop massless propagators as mentioned in the article.
Download the
raw data
and the
utilities
for easy access. An example
Maple worksheet
is also available.
Please do not hesitate to inform me if you encounter problems accessing the data or if another format of the results would be more helpful for you.
- Renormalization and Mellin Transforms (arXiv version July 2012) with Dirk Kreimer, pp. 195-223 in
Computer Algebra in Quantum Field Theory
Texts & Monographs in Symbolic Computation
Schneider, Carsten and Blümlein, Johannes (editors),
978-3-7091-1615-9 (ISBN),
Springer, 2013
- Hopf algebraic Renormalization of Kreimer's toy model, Master's thesis, June 2011