An Automated Implementation of On-Shell Methods for One-Loop Amplitudes - INSPIRE

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An Automated Implementation of On-Shell Methods for One-Loop Amplitudes

C.F. Berger
(
- MIT and
- UC, Santa Barbara and
- SLAC
)
,
Z. Bern
(
- UCLA
)
,
L.J. Dixon
(
- SLAC
)
,
F. Febres Cordero
(
- UCLA
)
,
D. Forde
(
- SLAC and
- UCLA
)

Mar, 2008

38 pages

Published in:

Phys.Rev.D 78 (2008) 036003

e-Print:

0803.4180 [hep-ph]

DOI:

10.1103/PhysRevD.78.036003

Report number:

SLAC-PUB-13161,
UCLA-08-TEP-10,
MIT-CTP-3937,
NSF-KITP-08-48,
SACLAY-IPHT-T08-054

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Abstract: (arXiv)

We present the first results from BlackHat, an automated C++ program for calculating one-loop amplitudes. The program implements the unitarity method and on-shell recursion to construct amplitudes. As input to the calculation, it uses compact analytic formulae for tree amplitudes for four-dimensional helicity states. The program performs all related computations numerically. We make use of recently developed on-shell methods for evaluating coefficients of loop integrals, introducing a discrete Fourier projection as a means of improving efficiency and numerical stability. We illustrate the numerical stability of our approach by computing and analyzing six-, seven- and eight-gluon amplitudes in QCD and comparing against previously-obtained analytic results.

12.38.Bx
11.55.Bq
11.15.Bt
quantum chromodynamics
scattering amplitude: multigluon
on-shell
unitarity
helicity
tree approximation
analytic properties

References(131)

Figures(10)

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