Collinear bootstrap for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mi mathvariant="script">N</mml:mi> <mml:mtext> </mml:mtext> <mml:mo>=</mml:mo> <mml:mo stretchy="false">(</mml:mo> <mml:mn>1</mml:mn> <
We study the multicollinear behavior of tree amplitudes in the six-dimensional <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi mathvariant="script">N</a:mi> <a:mo>=</a:mo> <a:mo stretchy="false">(</a:mo> <a:mn>1</a:mn> <a:mo>,</a:mo> <a:mn>1</a:mn> <a:mo stretchy="false">)</a:mo> </a:math> super Yang-Mills theory (sYM). A generalized dimensional reduction of the latter yields the four-dimensional <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"> <f:mi mathvariant="script">N</f:mi> <f:mo>=</f:mo> <f:mn>4</f:mn> </f:math> sYM on the Coulomb branch, which is of interest for considerations of massive or off-shell scattering. To this end, we revisit the calculation of tree scattering in the former theory employing the collinear bootstrap and known massless limits. Assuming the universality of the double-collinear asymptotics, the result for six-leg superamplitudes differs from the one available in the literature. We further extract the triple-collinear splitting superamplitudes from these.
Authors
- A.V. Belitsky (ORCID: https://orcid.org/0000-0003-1336-4770)
- Vladimir A. Smirnov (ORCID: https://orcid.org/0000-0001-5573-6267)
Institutions
- Lomonosov Moscow State University (RU)
- Moscow Center For Continuous Mathematical Education (RU)
- Arizona State University (US)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2025-11-10
- DOI
- https://doi.org/10.1103/rt29-3dsm
- Citations
- 1
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 1.87
Funders
- National Science Foundation
- Moscow Center of Fundamental and Applied Mathematics
- Lomonosov Moscow State University