Susy theories and QCD: numerical approaches

Ita, H.

doi:10.1088/1751-8113/44/45/454005

Cited by 37 publications

(41 citation statements)

References 237 publications

(712 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this appendix we show that the generalized spinors (20) fulfill the completeness relation (19). For later convenience we define the chirality projectors…”

Section: Appendix B: Proof Of the Completeness Relationsmentioning

confidence: 97%

“…fulfill the completeness relation (19). The spinors (20a) are solutions of the tardyonic Dirac equations [53,[55][56][57]]…”

Section: Generalized Unitaritymentioning

confidence: 99%

“…The unitarity-based methods, reviewed in [12][13][14][15][16][17][18][19], use two general properties of scattering amplitudes such as analyticity and unitarity. The former grants that the amplitudes can be reconstructed from their singularity-structure while the latter grants that the residues at the singular points factorize into products of simpler amplitudes.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On the four-dimensional formulation of dimensionally regulated amplitudes

et al. 2014

View full text Add to dashboard Cite

Elaborating on the four-dimensional helicity scheme, we propose a pure four-dimensional formulation (FDF) of the d-dimensional regularization of one-loop scattering amplitudes. In our formulation particles propagating inside the loop are represented by massive internal states regulating the divergences. The latter obey Feynman rules containing multiplicative selection rules which automatically account for the effects of the extra-dimensional regulating terms of the amplitude. We present explicit representations of the polarization and helicity states of the four-dimensional particles propagating in the loop. They allow for a complete, four-dimensional, unitarity-based construction of d-dimensional amplitudes. Generalized unitarity within the FDF does not require any higher-dimensional extension of the Clifford and the spinor algebra. Finally we show how the FDF allows for the recursive construction of d-dimensional one-loop integrands, generalizing the fourdimensional open-loop approach.

show abstract

“…In this appendix we show that the generalized spinors (20) fulfill the completeness relation (19). For later convenience we define the chirality projectors…”

Section: Appendix B: Proof Of the Completeness Relationsmentioning

confidence: 97%

“…fulfill the completeness relation (19). The spinors (20a) are solutions of the tardyonic Dirac equations [53,[55][56][57]]…”

Section: Generalized Unitaritymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On the four-dimensional formulation of dimensionally regulated amplitudes

et al. 2014

View full text Add to dashboard Cite

show abstract

“…[30][31][32]) implemented into NGluon . The procedure extracts the coefficients of the scalar integral basis from products of one-shell tree-level amplitudes which are computed using Berends-Giele recursion relations.…”

Section: Primitive Amplitudes With Ngluonmentioning

confidence: 99%

One Loop Amplitudes for Multi-Jet Production

Badger¹,

Biedermann²,

Uwer³

2013

Proceedings of 10th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology) —

View full text Add to dashboard Cite

show abstract

“…However, deeper understanding of details, as well as applications of this approach, may be found in some of the parallel chapters of this review, e.g. Bern and Huang [38], Britto [39], Generic multiloop methods and application to N = 4 super-Yang-Mills 4 and Ita [40].…”

Section: Introductionmentioning

confidence: 99%

Generic multiloop methods and application to {\cal N}=4 super-Yang–Mills

Carrasco¹,

Johansson²

2011

J. Phys. A: Math. Theor.

108

View full text Add to dashboard Cite

Abstract. We review some recent additions to the tool-chest of techniques for finding compact integrand representations of multiloop gauge-theory amplitudes -including non-planar contributions -applicable for N = 4 super-Yang-Mills in four and higher dimensions, as well as for theories with less supersymmetry. We discuss a general organization of amplitudes in terms of purely cubic graphs, review the method of maximal cuts, as well as some special D-dimensional recursive cuts, and conclude by describing the efficient organization of amplitudes resulting from the conjectured duality between color and kinematic structures on constituent graphs.This article is an invited review for a special issue of Journal of Physics A devoted to "Scattering Amplitudes in Gauge Theories".

show abstract

Susy theories and QCD: numerical approaches

Cited by 37 publications

References 237 publications

On the four-dimensional formulation of dimensionally regulated amplitudes

On the four-dimensional formulation of dimensionally regulated amplitudes

One Loop Amplitudes for Multi-Jet Production

Generic multiloop methods and application to {\cal N}=4 super-Yang–Mills

Contact Info

Product

Resources

About