Classification and one loop renormalization of dimension six and eight operators in quantum gluodynamics

Gracey, J.A.

doi:10.1016/s0550-3213(02)00334-6

Cited by 38 publications

(29 citation statements)

References 30 publications

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“…g Other operators exist but do not affect the anomalous dimensions matrix as was demonstrated in [62] for L = 3, 4 by explicit calculation. They can be easily related to the permutation P F A…”

Section: Quasipartonic and Non-quasipartonic Operatorsmentioning

confidence: 86%

Integrability in QCD and Beyond

Belitsky

Braun²,

Gorsky

et al. 2005

From Fields to Strings: Circumnavigating Theoretical Physics

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Yang-Mills theories in four space-time dimensions possess a hidden symmetry which does not exhibit itself as a symmetry of classical Lagrangians, but is only revealed on the quantum level. It turns out that the effective Yang-Mills dynamics in several important limits is described by completely integrable systems that prove to be related to the celebrated Heisenberg spin chain and its generalizations. In this review, we explain the general phenomenon of complete integrability and its realization in several different situations. As a prime example, we consider in some detail the scale dependence of composite (Wilson) operators in QCD and super-Yang-Mills (SYM) theories. Highenergy (Regge) behavior of scattering amplitudes in QCD is also discussed and provides one with another realization of the same phenomenon that differs, however, from the first example in essential details. As a third example, we address the low-energy effective action in a N = 2 SYM theory which, contrary to the previous two cases, corresponds to a classical integrable model. Finally, we include a short overview of recent attempts to use gauge/string duality in order to relate integrability of Yang-Mills dynamics with the hidden symmetry of a string theory on a curved background.

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Section: Quasipartonic and Non-quasipartonic Operatorsmentioning

confidence: 86%

Integrability in QCD and Beyond

Belitsky

Braun²,

Gorsky

et al. 2005

From Fields to Strings: Circumnavigating Theoretical Physics

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show abstract

“…From the point of view of the effective theory, the inclusion of a hard jet in the final state corresponds to adding higher dimension operators. At the level of processes with one extra gluon, one needs to consider three dimension-seven operators [80] (i.e. dimensioneight operators with one v-insertion), which have the form…”

Section: Jhep08(2014)053mentioning

confidence: 99%

Probing top-partners in Higgs+jets

Banfi

Martin

Sanz

2014

J. High Energ. Phys.

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Fermionic top-partners arise in models such as Composite Higgs and Little Higgs. They modify Higgs properties, in particular how the Higgs couples to top quarks. Alas, there is a low-energy cancellation acting in the coupling of the Higgs boson to gluons and photons. As a result of this cancellation, no information about the spectrum and couplings of the top-partners can be obtained in gg → h, just the overall new physics scale f . In this paper we show that this is not the case when hard radiation is taken into account. Indeed, differential distributions in Higgs plus jets are sensitive to the top-partner mass and coupling to the Higgs. We exploit the transverse momentum distribution of the hard jet to estimate limits on the top-partners in the 14 TeV LHC run. Relying on h → γγ events alone, we find mixing angles of sin 2 (θ R ) 0.2 can be probed after 3000 fb −1 of 14 TeV LHC data. Including other modes, the sensitivity improves, up to sin 2 (θ R ) 0.05 after 300 fb −1 .

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“…To compute the last factor f we must consider operators of dimension eight. There are four scalars at this level: (9) and their mixing matrix can be found in [39]: It is then a straightforward but slightly tedious exercise to show that this results implies f = 3.…”

mentioning

confidence: 99%

New integrable structures in large-NQCD

2004

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We study the anomalous dimensions of single trace operators composed of field strengths F µν in large-N QCD. The matrix of anomalous dimensions is the Hamiltonian of a compact spin chain with two spin one representations at each vertex corresponding to the selfdual and anti-selfdual components of F µν . Due to the special form of the interaction it is possible to study separately renormalization of purely selfdual components. In this sector the Hamiltonian is integrable and can be exactly solved by Bethe ansatz. Its continuum limit is described by the level two SU (2) WZW model. † Also at ITEP, Moscow, Russia

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Classification and one loop renormalization of dimension six and eight operators in quantum gluodynamics

Abstract: Abstract. We determine the complete set of independent dimension six and eight Lorentz scalar operators in Yang-Mills theory for an arbitrary colour group. The anomalous dimension mixing matrix is determined at one loop.LTH 536 1 1 Introduction.

Cited by 38 publications

References 30 publications

Integrability in QCD and Beyond

Integrability in QCD and Beyond

Probing top-partners in Higgs+jets

New integrable structures in large-NQCD

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