| dc.description |
We derive a duality relation between one-loop integrals and phase-space
integrals emerging from them through single cuts. The duality relation
is realized by a modification of the customary +i0 prescription of the
Feynman propagators. The new prescription regularizing the propagators,
which we write in a Lorentz covariant form, compensates for the absence
of multiple-cut contributions that appear in the Feynman Tree Theorem.
The duality relation can be applied to generic one-loop quantities in
any relativistic, local and unitary field theories.
It is suitable for applications to the analytical calculation of
one-loop scattering amplitudes, and to the numerical evaluation of
cross-sections at next-to-leading order. |
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