9,079 research outputs found
Monodromy--like Relations for Finite Loop Amplitudes
We investigate the existence of relations for finite one-loop amplitudes in
Yang-Mills theory. Using a diagrammatic formalism and a remarkable connection
between tree and loop level, we deduce sequences of amplitude relations for any
number of external legs.Comment: 24 pages, 6 figures, v2 typos corrected, reference adde
The Structure of n-Point One-Loop Open Superstring Amplitudes
In this article we present the worldsheet integrand for one-loop amplitudes
in maximally supersymmetric superstring theory involving any number n of
massless open string states. The polarization dependence is organized into the
same BRST invariant kinematic combinations which also govern the leading string
correction to tree level amplitudes. The dimensions of the bases for both the
kinematics and the associated worldsheet integrals is found to be the unsigned
Stirling number S_3^{n-1} of first kind. We explain why the same combinatorial
structures govern on the one hand finite one-loop amplitudes of equal helicity
states in pure Yang Mills theory and on the other hand the color tensors at
quadratic alpha prime order of the color dressed tree amplitude.Comment: 75 pp, 8 figs, harvmac TeX, v2: published versio
KLT-type relations for QCD and bicolor amplitudes from color-factor symmetry
Color-factor symmetry is used to derive a KLT-type relation for tree-level
QCD amplitudes containing gluons and an arbitrary number of massive or massless
quark-antiquark pairs, generalizing the expression for Yang-Mills amplitudes
originally postulated by Bern, De Freitas, and Wong. An explicit expression is
given for all amplitudes with two or fewer quark-antiquark pairs in terms of
the (modified) momentum kernel.
We also introduce the bicolor scalar theory, the "zeroth copy" of QCD,
containing massless biadjoint scalars and massive bifundamental scalars,
generalizing the biadjoint scalar theory of Cachazo, He, and Yuan. We derive
KLT-type relations for tree-level amplitudes of biadjoint and bicolor theories
using the color-factor symmetry possessed by these theories.Comment: 24 pages, 2 figures; v2: added referenc
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