2007

One-loop MHV Rules and Pure Yang-Mills

Brandhuber, Andreas, Spence, Bill, Travaglini, Gabriele et al.

Understand

It has been known for some time that the standard MHV diagram formulation of perturbative Yang-Mills theory is incomplete, as it misses rational terms in one-loop scattering amplitudes of pure Yang-Mills.

We propose that certain Lorentz violating counterterms, when expressed in the field variables which give rise to standard MHV vertices, produce precisely these missing terms.
These counterterms appear when Yang-Mills is treated with a regulator, introduced by Thorn and collaborators, which arises in worldsheet formulations of Yang-Mills theory in the lightcone gauge.
As an illustration of our proposal, we show that a simple one-loop, two-point counterterm is the generating function for the infinite sequence of one-loop, all-plus helicity amplitudes in pure Yang-Mills, in complete agreement with known expressions.

Built on

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Similar

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Then

J. Bedford, A. Brandhuber, B. Spence, and G. Travaglini, A twistor approach to one–loop amplitudes in 𝒩 = 1 {\mathcal{N}}=1 supersymmetric Yang–Mills theory
2005
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Z. Bern, L. J. Dixon, and D. A. Kosower, Bootstrapping multi-parton loop amplitudes in QCD
2006
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2006
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Z. G. Xiao, G. Yang, and C. J. Zhu, The rational part of QCD amplitude. I: The general formalism
2006
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X. Su, Z. G. Xiao, G. Yang, and C. J. Zhu, The rational part of QCD amplitude. II: The five-gluon
2006
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Z. G. Xiao, G. Yang, and C. J. Zhu, The rational part of QCD amplitude. III: The six-gluon
2006
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A. Gorsky and A. Rosly, From Yang-Mills lagrangian to MHV diagrams
2006
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P. Mansfield, The lagrangian origin of MHV rules
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J. H. Ettle and T. R. Morris, Structure of the MHV–rules lagrangian
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D. Chakrabarti, J. Qiu, and C. B. Thorn, Scattering of glue by glue on the light-cone worldsheet II: Helicity conserving amplitudes
2006
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A. Brandhuber, B. Spence, and G. Travaglini, From trees to loops and back
2006
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J. Qiu, One loop gluon gluon scattering in light cone gauge
2006
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C. F. Berger, Z. Bern, L. J. Dixon, D. Forde, and D. A. Kosower, All one-loop maximally helicity violating gluonic amplitudes in QCD
2007
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C. Anastasiou, R. Britto, B. Feng, Z. Kunszt, and P. Mastrolia, D-dimensional unitarity cut method
2007
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P. Mastrolia, On triple-cut of scattering amplitudes
2007
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R. Britto and B. Feng, Unitarity cuts with massive propagators and algebraic expressions for coefficients
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A. Brandhuber, B. Spence, and G. Travaglini, Amplitudes in pure Yang–Mills and MHV diagrams
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R. Boels, L. Mason, and D. Skinner, Supersymmetric gauge theories in twistor space
2007
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R. Boels, L. Mason, and D. Skinner, From twistor actions to MHV diagrams
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J. H. Ettle, C.-H. Fu, J. P. Fudger, P. R. W. Mansfield, and T. R. Morris, S-matrix equivalence theorem evasion and dimensional regularisation with the canonical MHV lagrangian
2007
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