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Production of non-Abelian tensor gauge bosons. Tree amplitudes in generalized Yang-Mills theory and BCFW recursion relation
High Energy Physics - Theory · Submitted 21 Jul 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We derive a generalization of the Parke-Taylor formula in the case of production of two tensor gauge bosons of spin-s and N gluons (jets).
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The abstract, sentence by sentence
The BCFW recursion relation allows to calculate tree-level scattering amplitudes in generalized Yang-Mills theory and, in particular, four-particle amplitudes for the production rate of non-Abelian tensor gauge bosons of arbitrary high spin in the fusion of two gluons. The consistency of the calculations in different kinematical channels is fulfilled when all dimensionless cubic coupling constants between vector bosons (gluons) and high spin non-Abelian tensor gauge bosons are equal to the Yang-Mills coupling constant. There are no high derivative cubic vertices in the generalized Yang-Mills theory. The amplitudes vanish as complex deformation parameter tends to infinity, so that there is no contribution from the contour at infinity. We derive a generalization of the Parke-Taylor formula in the case of production of two tensor gauge bosons of spin-s and N gluons (jets). The expression is holomorhic in the spinor variables of the scattered particles, exactly as the MHV gluon amplitude is, and reduces to the gluonic MHV amplitude when s=1. In generalized Yang-Mills theory the tree level n-particle scattering amplitudes with all positive helicities vanish, but tree amplitudes with one negative helicity particle are already nonzero.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The BCFW recursion relation allows to calculate tree-level scattering amplitudes in generalized Yang-Mills theory and, in particular, four-particle amplitudes for the production rate of non-Abelian tensor gauge bosons of arbitrary high spin in the fusion of two gluons. | contribution 0.50 | 0.55 | 0.36 | asserted 0.97 |
| s1 | The consistency of the calculations in different kinematical channels is fulfilled when all dimensionless cubic coupling constants between vector bosons (gluons) and high spin non-Abelian tensor gauge bosons are equal to the Yang-Mills coupling constant. | result 0.96 | 0.76 | 0.25 | asserted 1.00 |
| s2 | There are no high derivative cubic vertices in the generalized Yang-Mills theory. | result 0.93 | 0.53 | 0.09 | asserted 1.00 |
| s3 | The amplitudes vanish as complex deformation parameter tends to infinity, so that there is no contribution from the contour at infinity. | result 0.77 | 0.81 | 0.06 | asserted 1.00 |
| s4 | We derive a generalization of the Parke-Taylor formula in the case of production of two tensor gauge bosons of spin-s and N gluons (jets). | contribution 0.55 | 0.96 | 0.26 | asserted 1.00 |
| s5 | The expression is holomorhic in the spinor variables of the scattered particles, exactly as the MHV gluon amplitude is, and reduces to the gluonic MHV amplitude when s=1. | result 0.96 | 0.85 | 0.17 | asserted 1.00 |
| s6 | In generalized Yang-Mills theory the tree level n-particle scattering amplitudes with all positive helicities vanish, but tree amplitudes with one negative helicity particle are already nonzero. | result 0.99 | 0.74 | 0.15 | asserted 1.00 |
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The paper
Original abstract
The BCFW recursion relation allows to calculate tree-level scattering amplitudes in generalized Yang-Mills theory and, in particular, four-particle amplitudes for the production rate of non-Abelian tensor gauge bosons of arbitrary high spin in the fusion of two gluons. The consistency of the calculations in different kinematical channels is fulfilled when all dimensionless cubic coupling constants between vector bosons (gluons) and high spin non-Abelian tensor gauge bosons are equal to the Yang-Mills coupling constant. There are no high derivative cubic vertices in the generalized Yang-Mills theory. The amplitudes vanish as complex deformation parameter tends to infinity, so that there is no contribution from the contour at infinity. We derive a generalization of the Parke-Taylor formula in the case of production of two tensor gauge bosons of spin-s and N gluons (jets). The expression is holomorhic in the spinor variables of the scattered particles, exactly as the MHV gluon amplitude is, and reduces to the gluonic MHV amplitude when s=1. In generalized Yang-Mills theory the tree level n-particle scattering amplitudes with all positive helicities vanish, but tree amplitudes with one negative helicity particle are already nonzero.
Human review
How the literature uses it
10 arXiv papers cite this in 41 sentences
Papers citing it · 37 sentences without a confident label
Uses its method or tool 3 papers
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Using these vertices one can compute the scattering amplitudes involving tensor-gluons [ref] .
Tensor gluons and proton structure · Interaction Vertices and Splitting Functions · 0.81
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A very powerful spinor helicity technique [ref] was used to calculate high order tree level diagrams with the participation of tensor-gluons in [ref] .
Proton structure and tensor gluons · Introduction · 0.98
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A very powerful spinor helicity technique [ref] was used to calculate high-order tree-level diagrams with the participation of tensorgluons in [ref] .
Parton Distribution Functions and Tensor Gluons · Introduction · 0.99
Cites it as background 1 paper
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One of the first calculations of tree level amplitudes was made in the article [ref] where the authors considered the production of tensor gluons in the annihilation processes of quarks and gluons.
Conformal invariance of tensor bosons tree amplitudes · Introduction · 0.95
What it cites · 56 sentences without a confident label
Compares with 1 paper
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In comparison, the n-gluon tree amplitudes for $n ≥4$ with all but one gluon of positive helicity vanish [ref] .
Perturbative Gauge Theory As A String Theory In Twistor Space · Four-Particle Scattering Amplitudes · 0.86
Cites as background 4 papers
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The Lagrangian of non-Abelian tensor gauge fields describes the interaction of the Yang-Mills quanta with massless tensor gauge bosons of increasing spins [ref] .
Extension of the Poincar\'e Group and Non-Abelian Tensor Gauge Fields · Introduction · 0.97
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One of the first calculations of tree level scattering amplitudes in generalized Yang-Mills theory was made in a series of articles [ref] where the authors considered the creation of tensor gauge bosons in the annihilation processes of quarks and gluons.
Production of Spin-Two Gauge Bosons · Introduction · 0.93
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One of the first calculations of tree level scattering amplitudes in generalized Yang-Mills theory was made in a series of articles [ref] where the authors considered the creation of tensor gauge bosons in the annihilation processes of quarks and gluons.
Production of charged spin-two gauge bosons in gluon-gluon scattering · Introduction · 0.93
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