Evaluating Feynman Integrals

By Vladimir A. Smirnov. 2005

107 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d5be61381f394b1c9f80258bb7e20d1e836a0531

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. N. Arkani-Hamed
2. C. Cheung
3. Hjalte Frellesvig
4. Jared Kaplan
5. F. Cachazo
6. Pierpaolo Mastrolia
7. Vladimir A. Smirnov
8. E. Sokatchev

In Nuclear and High Energy Physics

1. S. Caron-Huot
2. N. Arkani-Hamed
3. F. Cachazo
4. C. Cheung
5. J. Henn
6. J. Drummond
7. R. Roiban
8. L. Dixon

Citations in the corpus

• What is the simplest quantum field theory? (2008, methodology): “Let us discuss the tensor bubbles, which can be computed explicitly [57] and are given by”
• Magic identities for conformal four-point integrals (2006, background): “ 21] and triple [22, 9] boxes, with results written in terms of harmonic polylogarithms [23], double boxes with one leg off shell [24] and massive on-shell double boxes [25, 26] (see also Chapter 5 of [27]). 9 p2 p4 p1 p3 1 2 3 4 7 5 6 8 9 10 Figure 12: Labelled tennis court. and tennis court with ge”
• Feynman integrals and intersection theory (2018, unknown): “, [14–16].”
• Lectures on differential equations for Feynman integrals (2014, unknown): “[15, 16].”
• An analytic result for the two-loop hexagon Wilson loop in N = 4 SYM (2010, unknown): “[33, 34, 35, 36].”
• Decomposition of Feynman integrals on the maximal cut by intersection numbers (2019, methodology): “The derivation of the IBP-decomposition formulas requires the solution of a large system of linear relations, generated by imposing that integrals of total derivatives vanish on the integration boundary [13], see also [15–18].”
• The S-matrix in twistor space (2009, methodology): “In this case, one can easily check, using Feynman parameters, that [31],”
• Black hole binary dynamics from the double copy and effective theory (2019, methodology): “[44, 72] for further details on constructing MB representations and many examples.”
• Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data (2009, methodology): “he calculation of the MIs is then pursued by means of a variety of methods. Particularly important are the differential equations method [109,110,111,112, 113,114,115] and the Mellin-Barnes techniques [116,117, 118,119,120,121,122,123,124,125]. Both methods proved to be very useful in the evaluation ”