Dr Erik Panzer

Post-Doctoral Research Fellow
All Souls College
Oxford OX1 4AL
United Kingdom
ORCID: 0000-0002-9897-5812

Office N1.04
Andrew Wiles Building


Workshop: Arithmetic and Geometric Aspects of Modular Forms, 22-23 July 2019 at All Souls College, Oxford

Research interests

Feynman integrals, hyperlogarithms, (elliptic) polylogarithms, (elliptic) multiple zeta values, motivic periods, combinatorial Hopf algebras, renormalization, Dyson-Schwinger equations

Download my cv.

Selected Publications

  1. 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
  2. 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
  3. Hepp's bound for Feynman graphs and matroids, August 2019
  4. Manifestly dual-conformal loop integration (arXiv), Nuclear Physics B, 942 (May, 2019) p. 251-302,
    with Jacob Bourjaily and Falko Dulat
  5. Multiple zeta values in deformation quantization, December 2018
    with Peter Banks and Brent Pym
    Introduction: Research case study
  6. Lambert-W solves the noncommutative φ4-model (arXiv), Communications in Mathematical Physics (October 2019)
    with Raimar Wulkenhaar
    The story: Mathematician discusses solving a seemingly unsolvable equation
  7. Feynman integral relations from parametric annihilators (arXiv), Letters in Mathematical Physics, August 2018
    with Thomas Bitoun, Christian Bogner and René Pascal Klausen
  8. Minimally subtracted six loop renormalization of O(n)-symmetric φ4 theory and critical exponents (arXiv), Phys. Rev. D 96:036016 (2017)
    with Mikhail Kompaniets
  9. The Galois coaction on ϕ4 periods (arXiv), Communications in Number Theory and Physics, Vol. 11, 3:657-705 (2017)
    with Oliver Schnetz
  10. The parity theorem for multiple polylogarithms (arXiv), Journal of Number Theory, March 2017, 172:93-113
  11. 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
  12. Graphical functions in parametric space (arXiv), Letters in Mathematical Physics (2017) 107:1177-1192
    with Marcel Golz and Oliver Schnetz
  13. 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
  14. 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
  15. 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)
  16. Feynman integrals via hyperlogarithms (arXiv), PoS(LL2014)049, proceedings of "Loops & Legs in Quantum Field Theory", Weimar (Germany), April 27th - May 2nd
  17. 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.

  18. 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.

  19. 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.

  20. 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

  21. Hopf algebraic Renormalization of Kreimer's toy model, Master's thesis, June 2011

Selected talks

  1. Feynman periods - on graphs, integrals, polytopes and tropical physics
    (TU Kaiserslautern, June 18th, 2019)
  2. Modular graph functions as iterated Eisenstein integrals
    (Niels Bohr Institute, February 19th, 2019)
  3. Feynman integral relations from parametric annihilators
    (Loops & Legs in Quantum Field Theory, May 3rd, 2018, St Goar)
  4. 6-loop φ4 theory in 4-2ε dimensions
    (Worksop on multi-loop calculations: Methods and applications, June 7th, 2017, Paris)
  5. Feynman integrals, graph polynomials and zeta values
    (North meets South Colloquium, May 26th, 2017, Oxford)
  6. Conical sums and multiple polylogarithms
    (The 5th International Congress on Mathematical Software, July 14th, 2016, Berlin)
  7. Feynman integrals and hyperlogarithms
    (5th Itzykson Colloquium, IHES, April 07th, 2016)
  8. Parametric Feynman integrals with hyperlogarithms
    (Trinity College Dublin, February 15th, 2016)
  9. Symbolic integration of multiple polylogarithms
    (ACA 2015, Kalamata, July 22nd, 2015)
  10. Multiple polylogarithms and Feynman integrals
    (Amplitudes 2015, Zürich, July 7th, 2015)
  11. Master integrals without subdivergences
    (HOCTOOLS NNLO meeting, Athens, January 18th, 2015)
  12. Renormalization by kinematic subtraction and Hopf algebras
    ( Renormalisation from Quantum Field Theory to Random and Dynamical Systems, November 07-09, 2013, Potsdam)
  13. Relations among multiple zeta values
    (Multiple Zeta Values in Mathematics and Physics, October 1-5, 2013, Berlin)
  14. Parametric Feynman integrals and hyperlogarithms
    (Feynman Graphs and Motives, March 18-22, 2013, Bingen)