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.

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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

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article

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> <

A.V. Belitsky, Vladimir A. Smirnov
1 citations
Physical review. D/Physical review. D.
Black Holes and Theoretical Physics
1.87
article

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> <

A.V. Belitsky, Vladimir A. Smirnov
article en
1 citations

Abstract

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.

Physical review. D/Physical review. D.Vol. 112(10)
Lomonosov Moscow State University (RU), Moscow Center For Continuous Mathematical Education (RU), Arizona State University (US)
National Science Foundation, Moscow Center of Fundamental and Applied Mathematics, Lomonosov Moscow State University
Openalex Percentile: Top 11%
Black Holes and Theoretical Physics
1.87
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