High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles
Schroeder Y, Vuorinen A (2005)
Journal of High Energy Physics 2005(06): 51.
Zeitschriftenaufsatz
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Autor*in
Einrichtung
Abstract / Bemerkung
In this article we present a high-precision evaluation of the expansions in $\e=(4-d)/2$ of (up to) four-loop scalar vacuum master integrals, using the method of difference equations developed by S. Laporta. We cover the complete set of `QED-type' master integrals, i.e. those with a single mass scale only (i.e. $m_i\in\{0,m\}$) and an even number of massive lines at each vertex. Furthermore, we collect all that is known analytically about four-loop `QED-type' masters, as well as about {\em all} single-mass-scale vacuum integrals at one-, two- and three-loop order.
Stichworte
numerical calculations;
Phenomenology-HEP;
Feynman graph: higher-order;
Laplace transformation;
epsilon expansion
Erscheinungsjahr
2005
Zeitschriftentitel
Journal of High Energy Physics
Band
2005
Ausgabe
06
Art.-Nr.
51
ISSN
1029-8479
eISSN
1029-8479
Page URI
https://pub.uni-bielefeld.de/record/1963813
Zitieren
Schroeder Y, Vuorinen A. High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles. Journal of High Energy Physics. 2005;2005(06): 51.
Schroeder, Y., & Vuorinen, A. (2005). High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles. Journal of High Energy Physics, 2005(06), 51. https://doi.org/10.1088/1126-6708/2005/06/051
Schroeder, York, and Vuorinen, Aleksi. 2005. “High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles”. Journal of High Energy Physics 2005 (06): 51.
Schroeder, Y., and Vuorinen, A. (2005). High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles. Journal of High Energy Physics 2005:51.
Schroeder, Y., & Vuorinen, A., 2005. High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles. Journal of High Energy Physics, 2005(06): 51.
Y. Schroeder and A. Vuorinen, “High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles”, Journal of High Energy Physics, vol. 2005, 2005, : 51.
Schroeder, Y., Vuorinen, A.: High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles. Journal of High Energy Physics. 2005, : 51 (2005).
Schroeder, York, and Vuorinen, Aleksi. “High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles”. Journal of High Energy Physics 2005.06 (2005): 51.
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arXiv: hep-ph/0503209
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