Using colour conservation and rescaling symmetry, the two-particle collinear constraints are shown to imply multi-particle collinear factorisation through four loops, and a new triple-collinear constraint is derived for one-mass amplitudes.
The Infrared Behavior of One-Loop Gluon Amplitudes at Next-to-Next-to-Leading Order
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
For the case of $n$-jet production at next-to-next-to-leading order in the QCD coupling, in the infrared divergent corners of phase space where particles are collinear or soft, one must evaluate $(n+1)$-parton final-state one-loop amplitudes through $\Ord(\eps^2)$, where $\eps$ is the dimensional regularization parameter. For the case of gluons, we present to all orders in $\eps$ the required universal functions which describe the behavior of one-loop amplitudes in the soft and collinear regions of phase space. An explicit example is discussed for three-parton production in multi-Regge kinematics that has applications to the next-to-leading logarithmic corrections to the BFKL equation.
fields
hep-ph 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Infrared singularities and the collinear limits of multi-leg scattering amplitudes
Using colour conservation and rescaling symmetry, the two-particle collinear constraints are shown to imply multi-particle collinear factorisation through four loops, and a new triple-collinear constraint is derived for one-mass amplitudes.