Algebras for amplitudes

N. Emil J. Bjerrum-Bohr; Poul Henrik Damgaard; Ricardo Jorge Ferreira Monteiro; Donal Francis O'Connell

Algebras for amplitudes

N. Emil J. Bjerrum-Bohr, Poul Henrik Damgaard, Ricardo Jorge Ferreira Monteiro, Donal Francis O'Connell

85 Citations (Scopus)

Abstract

Tree-level amplitudes of gauge theories are expressed in a basis of auxiliary amplitudes with only cubic vertices. The vertices in this formalism are explicitly factorized in color and kinematics, clarifying the color-kinematics duality in gauge theory amplitudes. The basis is constructed making use of the KK and BCJ relations, thereby showing precisely how these relations underlie the color-kinematics duality. We express gravity amplitudes in terms of a related basis of color-dressed gauge theory amplitudes, with basis coefficients which are permutation symmetric.

Original language	English
Journal	Journal of High Energy Physics (Online)
Volume	2012
Issue number	6
Pages (from-to)	061
Number of pages	17
ISSN	1126-6708
Publication status	Published - 11 Jun 2012

Cite this

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title = "Algebras for amplitudes",

abstract = "Tree-level amplitudes of gauge theories are expressed in a basis of auxiliary amplitudes with only cubic vertices. The vertices in this formalism are explicitly factorized in color and kinematics, clarifying the color-kinematics duality in gauge theory amplitudes. The basis is constructed making use of the KK and BCJ relations, thereby showing precisely how these relations underlie the color-kinematics duality. We express gravity amplitudes in terms of a related basis of color-dressed gauge theory amplitudes, with basis coefficients which are permutation symmetric.",

author = "Bjerrum-Bohr, {N. Emil J.} and Damgaard, {Poul Henrik} and {Ferreira Monteiro}, {Ricardo Jorge} and {Francis O'Connell}, Donal",

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TY - JOUR

T1 - Algebras for amplitudes

AU - Bjerrum-Bohr, N. Emil J.

AU - Damgaard, Poul Henrik

AU - Ferreira Monteiro, Ricardo Jorge

AU - Francis O'Connell, Donal

PY - 2012/6/11

Y1 - 2012/6/11

N2 - Tree-level amplitudes of gauge theories are expressed in a basis of auxiliary amplitudes with only cubic vertices. The vertices in this formalism are explicitly factorized in color and kinematics, clarifying the color-kinematics duality in gauge theory amplitudes. The basis is constructed making use of the KK and BCJ relations, thereby showing precisely how these relations underlie the color-kinematics duality. We express gravity amplitudes in terms of a related basis of color-dressed gauge theory amplitudes, with basis coefficients which are permutation symmetric.

AB - Tree-level amplitudes of gauge theories are expressed in a basis of auxiliary amplitudes with only cubic vertices. The vertices in this formalism are explicitly factorized in color and kinematics, clarifying the color-kinematics duality in gauge theory amplitudes. The basis is constructed making use of the KK and BCJ relations, thereby showing precisely how these relations underlie the color-kinematics duality. We express gravity amplitudes in terms of a related basis of color-dressed gauge theory amplitudes, with basis coefficients which are permutation symmetric.

M3 - Journal article

SN - 1126-6708

VL - 2012

SP - 061

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 6

ER -

Algebras for amplitudes

Abstract

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