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A proof is found for the elliptic integral evaluation of the Bessel moment $$M:=\int_0^\infty t I_0^2(t)K_0^2(t)K_0(2t) {\rm d}t ={1/12} {\bf K}(\sin(\pi/12)){\bf K}(\cos(\pi/12)) =\frac{\Gamma^6(\frac13)}{64\pi^22^{2/3}}$$ resulting from an angular average of a 2-loop 4-point massive Feynman diagram, with one internal mass doubled.
W. N. Bailey, “Some infinite integrals involving Bessel functions,”
1936
Earlier work this paper cites.
W. N. Bailey, “Some infinite integrals involving Bessel functions (II),”
1936
Earlier work this paper cites.
M. Abramowitz and I.A. Stegun,
1965
Earlier work this paper cites.
Gabriel Barton,
1965
Earlier work this paper cites.
Jonathan M. Borwein and Peter B. Borwein,
1987
Earlier work this paper cites.
M.L. Glasser and E. Montaldi, “Staircase polygons and recurrent lattice walks,”
1993
Earlier work this paper cites.
A.J. Guttmann and T. Prellberg, “Staircase polygons, elliptic integrals, Heun functions and lattice Green functions,”
1993
Cited alongside, same era.
G.S. Joyce, “On the cubic lattice Green functions,”
1994
Cited alongside, same era.
A. Ronveaux (Ed.),
1995
Cited alongside, same era.
S. Laporta, “High precision epsilon expansions of massive four loop vacuum bubbles,”
2002
Cited alongside, same era.
S. Groote, “Lectures on configuration space methods for sunrise type diagrams,” International Research Workshop on Calculations for Modern and Future Colliders (CALC 2003),
2003
Cited alongside, same era.
A.I. Davydychev and R. Delbourgo, “Explicitly symmetrical treatment of three body phase space,”
2004
Later among the works it cites.
Stéphane Ouvry, “Random Aharonov-Bohm vortices and some exactly solvable families of integrals,”
2005
Later among the works it cites.
David H. Bailey, Jonathan M. Borwein and Richard E. Crandall, “Integrals of the Ising class,”
2006
Later among the works it cites.
S. Groote, J.G. Korner and A.A. Pivovarov, “On the evaluation of a certain class of Feynman diagrams in
2007
Later among the works it cites.
David H. Bailey, Jonathan M. Borwein, David Broadhurst and M.L. Glasser, “Elliptic integral evaluations of Bessel moments,” preprint, 6 January 2008,
2008
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