Homepage of Dr Erik Panzer

Post-Doctoral Research Fellow
All Souls College
Oxford OX1 4AL
United Kingdom
erik.panzer@all-souls.ox.ac.uk

Office N1.04
Andrew Wiles Building

Research interests

combinatorial Hopf algebras, renormalization, Dyson-Schwinger equations, Feynman integrals, hyperlogarithms, polylogarithms, multiple zeta values

Download my cv.

Publications

  1. Feynman integral relations from parametric annihilators (preliminary draft)
    with Thomas Bitoun, Christian Bogner and René Pascal Klausen
  2. Minimally subtracted six loop renormalization of O(n)-symmetric φ4 theory and critical exponents (arXiv), Phys. Rev. D 96:036016 (2017)
    with Mikhail Kompaniets
  3. The Galois coaction on ϕ4 periods (arXiv), Communications in Number Theory and Physics, Vol. 11, 3:657-705 (2017)
    with Oliver Schnetz
  4. The parity theorem for multiple polylogarithms (arXiv), Journal of Number Theory, March 2017, 172:93-113
  5. 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
  6. Graphical functions in parametric space (arXiv), Letters in Mathematical Physics (2017) 107:1177-1192
    with Marcel Golz and Oliver Schnetz
  7. 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
  8. 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
  9. 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)
  10. Feynman integrals via hyperlogarithms (arXiv), PoS(LL2014)049, proceedings of "Loops & Legs in Quantum Field Theory", Weimar (Germany), April 27th - May 2nd
  11. 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.

  12. 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.

  13. 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.

  14. 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

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

Talks

  1. Amplitudes, June 18th, 2018, SLAC

    Title: The Hepp bound for Feynman periods

  2. Loops & Legs in Quantum Field Theory, May 3rd, 2018, St Goar, Germany

    Title: Feynman integral relations from parametric annihilators

  3. 5th Itzykson Colloquium, IHES, April 07th, 2016

    Title: Feynman integrals and hyperlogarithms

  4. ACA 2015, Kalamata, July 22nd, 2015

    Title: Symbolic integration of multiple polylogarithms

  5. Amplitudes 2015, Zürich, July 7th, 2015

    Title: Multiple polylogarithms and Feynman integrals

  6. RADCOR/LoopFest, Los Angeles, June 19th, 2015

    Title: Linear reducibility of Feynman integrals

  7. CanaDAM, Saskatoon, June 1st, 2015

    Title: Linearly reducible Feynman graphs

  8. Higgs Centre for Theoretical Physics, Edinburgh, April 30th, 2015

    Title: HyperInt - exact integration with hyperlogarithms

  9. HOCTOOLS NNLO meeting, Athens, January 18th, 2015

    Title: Master integrals without subdivergences

  10. Johannes Gutenberg Universität (THEP), Mainz, December 9th, 2014

    Title: Linearly reducible Feynman integrals

  11. Karlsruher Institut für Technologie (TTP), Karlsruhe, December 8th, 2014

    Title: Integrating massless propagators and divergences

  12. Theory Seminar of the Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), May 5th, 2014, München, Germany

    Title: Analytic regularization of divergent integrals and hyperlogarithmic integration

  13. Loops & Legs in Quantum Field Theory, May 1st, 2014, Weimar, Germany

    Title: Feynman integrals via hyperlogarithms

  14. DPG-Frühjahrstagung, March 27, 2014, Mainz, Germany

    Title: Feynman integrals with hyperlogarithms

  15. Particle Physics Seminar of the ITP, March 18, 2014, ETH Zürich, Switzerland

    Title: Regularization of divergent Feynman integrals and their computation with hyperlogarithms

  16. Research Seminar: "Quantum Fields and Strings", January 8th, 2014, HU (Berlin)

    Title: On hyperlogarithms and Feynman integrals with divergences and many scales (corrected, updated and extended version)

  17. International Scientific Workshop: "Renormalisation from Quantum Field Theory to Random and Dynamical Systems", November 07-09, 2013, Potsdam

    Title: Renormalization by kinematic subtraction and Hopf algebras

  18. KOSMOS Summer University: "Multiple Zeta Values in Mathematics and Physics", October 1-5, 2013, Berlin

    Title: Relations among multiple zeta values

  19. Spring School: "Feynman Graphs and Motives", March 18-22, 2013, Bingen

    Title: Parametric Feynman integrals and hyperlogarithms