Fetching the paper…

Reading the bibliography…

Analytic Results for Massless Three-Loop Form Factors · Around

2010

Analytic Results for Massless Three-Loop Form Factors

Lee, R. N., Smirnov, A. V., Smirnov, V. A.

Original
PDF
Post on X

Understand

We evaluate, exactly in d, the master integrals contributing to massless three-loop QCD form factors.

The calculation is based on a combination of a method recently suggested by one of the authors (R.L.) with other techniques: sector decomposition implemented in FIESTA, the method of Mellin--Barnes representation, and the PSLQ algorithm.
Using our results for the master integrals we obtain analytical expressions for two missing constants in the ep-expansion of the two most complicated master integrals and present the form factors in a completely analytic form.

Built on

O. V. Tarasov, Phys. Rev. D 54
1996
Earlier work this paper cites.
V. A. Smirnov, Phys. Lett. B 460
1999
Earlier work this paper cites.
H.R.P. Ferguson, D.H. Bailey and S. Arno, Math. Comput. 68
1999
Earlier work this paper cites.
S. Moch, J. A. M. Vermaseren and A. Vogt, JHEP 0508
2005
Earlier work this paper cites.
S. Moch, J. A. M. Vermaseren and A. Vogt, Phys. Lett. B 625
2005
Earlier work this paper cites.
T. Gehrmann, G. Heinrich, T. Huber and C. Studerus, Phys. Lett. B 640
2006
Earlier work this paper cites.

Similar

V. A. Smirnov, Evaluating Feynman Integrals
2006
Cited alongside, same era.
G. Heinrich, T. Huber and D. Maître, Phys. Lett. B 662
Original
2008
Cited alongside, same era.
R. N. Lee, JHEP 0807
Original
2008
Cited alongside, same era.
A. V. Smirnov, JHEP 0810
Original
2008
Cited alongside, same era.
T. Binoth and G. Heinrich, Nucl. Phys. B, 585
Original
2008
Cited alongside, same era.
C. Bogner and S. Weinzierl, Comput. Phys. Commun. 178
Original
2008
Cited alongside, same era.
A. V. Smirnov, V. A. Smirnov and M. Tentyukov, arXiv:0912.0158
Original
Cited in the paper.

Then

P. A. Baikov, K. G. Chetyrkin, A. V. Smirnov, V. A. Smirnov and M. Steinhauser, Phys. Rev. Lett. 102
Original
2009
Later among the works it cites.
G. Heinrich, T. Huber, D. A. Kosower and V. A. Smirnov, Phys. Lett. B 678
Original
2009
Later among the works it cites.
A. V. Smirnov and M. N. Tentyukov, Comput. Phys. Commun. 180
Original
2009
Later among the works it cites.
M. Czakon, Comput. Phys. Commun. 175
Original
2009
Later among the works it cites.
R. N. Lee, Nucl. Phys. B 830
Original
2010
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…