<p>We study the collinear factorization of off-shell scattering amplitudes in maximally supersymmetric Yang-Mills (sYM) theory. These are constructed starting from six-dimensional <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26192_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = (1) sYM, taking advantage of an available unconstrained spinor-helicity formalism combined with a unitarity-cut sewing procedure. After generalized dimensional reduction, their collinear behavior is dissected with assistance from the Method of Regions. We then construct off-shell splitting amplitudes directly using the same techniques, establishing equivalence to the amplitude analysis. The calculations are performed at one-loop order.</p>

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Collinear anatomy

  • A.V. Belitsky

摘要

We study the collinear factorization of off-shell scattering amplitudes in maximally supersymmetric Yang-Mills (sYM) theory. These are constructed starting from six-dimensional N \( \mathcal{N} \) = (1) sYM, taking advantage of an available unconstrained spinor-helicity formalism combined with a unitarity-cut sewing procedure. After generalized dimensional reduction, their collinear behavior is dissected with assistance from the Method of Regions. We then construct off-shell splitting amplitudes directly using the same techniques, establishing equivalence to the amplitude analysis. The calculations are performed at one-loop order.