The Structure Functions F2 c , F L and F L c in the Framework of the k T Factorization

Kotikov, A. V.; Lipatov, A. V.; Parente, G.; Zotov, N. P.

doi:10.1007/978-3-540-40975-5_16

Cited by 16 publications

(35 citation statements)

References 61 publications

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“…Let us now turn to the case of N = 4 super Yang Mills at weak coupling. The weak coupling computation of the leading twist anomalous dimensions was done in [33,34] (see also [35,36]). We should consider operators which are invariant under all the symmetries that leave the particular component of the stress tensor in (2.18) invariant.…”

Section: Small Angle Singularities and The Operator Product Expansionmentioning

confidence: 99%

“…All operators are made out of a pair of scalars, fermions or gauge field strengths. The local operators with zero transverse spin in SO(2) and spin j (j even) in the +− directions are [33] T r[φ…”

Section: Small Angle Singularities and The Operator Product Expansionmentioning

confidence: 99%

“…Since supersymmetry carries spin, the various members of the supermultiplet have different spin. However, the anomalous dimension for all the members of the supermultiplet is the same and it is given by a function which has the weak coupling expansion [33,37]…”

Section: Small Angle Singularities and The Operator Product Expansionmentioning

confidence: 99%

“…These operators can be discussed for any coupling. We recalled the weak coupling expression for the twist [33] (2.22), and we also computed the twist at strong coupling τ ∼ √ 2λ 1/4 (4.26), after having identified the string states that are dual to the operator U 3−1 . These are not ordinary closed string states.…”

Section: Summary Conclussions and Open Problemsmentioning

confidence: 99%

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Conformal collider physics: energy and charge correlations

Hofman

Maldacena

2008

J. High Energy Phys.

653

1,322

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We study observables in a conformal field theory which are very closely related to the ones used to describe hadronic events at colliders. We focus on the correlation functions of the energies deposited on calorimeters placed at a large distance from the collision.We consider initial states produced by an operator insertion and we study some general properties of the energy correlation functions for conformal field theories. We argue that the small angle singularities of energy correlation functions are controlled by the twist of non-local light-ray operators with a definite spin. We relate the charge two point function to a particular moment of the parton distribution functions appearing in deep inelastic scattering. The one point energy correlation functions are characterized by a few numbers.For N = 1 superconformal theories the one point function for states created by the Rcurrent or the stress tensor are determined by the two parameters a and c characterizing the conformal anomaly. Demanding that the measured energies are positive we get bounds on a/c. We also give a prescription for computing the energy and charge correlation functions in theories that have a gravity dual. The prescription amounts to probing the falling string state as it crosses the AdS horizon with gravitational shock waves. In the leading, two derivative, gravity approximation the energy is uniformly distributed on the sphere at infinity, with no fluctuations. We compute the stringy corrections and we show that they lead to small, non-gaussian, fluctuations in the energy distribution. Corrections to the one point functions or antenna patterns are related to higher derivative corrections in the bulk. Z µ Z −1 +Z 4 , µ = 0, 1, 2, 3. The metric induced on this surface, (2.3), by the R 2,4 metric is fixed up to an overallx-dependent factor. We can choose a metric by choosing a "gauge condition" such as 3 This type of coordinates has also been studied in [17]. 4 Note that Z −1 is the "minus one" component of the vector Z and it does not denote the inverse of Z. Hopefully, this notation will not cause confusion.

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Section: Small Angle Singularities and The Operator Product Expansionmentioning

confidence: 99%

Section: Small Angle Singularities and The Operator Product Expansionmentioning

confidence: 99%

Section: Small Angle Singularities and The Operator Product Expansionmentioning

confidence: 99%

Section: Summary Conclussions and Open Problemsmentioning

confidence: 99%

See 2 more Smart Citations

Conformal collider physics: energy and charge correlations

Hofman

Maldacena

2008

J. High Energy Phys.

653

1,322

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“…The [55,56]), but can be easily analytically continued to real and complex j via the methods of Refs. [1,57,56,58].…”

Section: Harmonic Sumsmentioning

confidence: 99%

On DIS Wilson coefficients inN=4super Yang–Mills theory

2013

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In this note we evaluate Wilson coefficients for "deep inelastic scattering" (DIS) in N = 4 SYM theory at NLO in perturbation theory, using as a probe an R-symmetry conserved current. They exhibit uniform transcendentality and coincide with the piece of highest transcendentality in the corresponding QCD Wilson coefficients. We extract from the QCD result a NNLO prediction for the N = 4 SYM Wilson coefficient, and comment on the features of its Regge limit asymptotics. DiscussionAmong the many ways through which the outstanding simplicity of the N = 4 super Yang-Mills (SYM) theory reveals itself, the pattern of transcendentality exhibited by many of the observables computable in a close analytical form has the merit of setting potentially a quite direct link to QCD. In particular, the maximum transcendentality principle [1, 2] (MTP) is the conjectureinspired by special properties [3] for the maximally supersymmetric generalization of BFKL and evolution equations -that in the anomalous dimensions of leading twist operators only terms of highest transcendentality arise, which can be picked up by the 'most complicated' terms of the corresponding QCD results [4,5] with the appropriate color factor prescription C A = C F = N c and T f n f = 2N c . Here a transcendentality weight n is given to each Riemann ζ value ζ n ≡ ζ(n), with a similar tallying for the harmonic sum S n (j), and the principle states that the anomalous dimension γ(j) at n loops is a linear combination of harmonic sums of transcendentality 2n − 1. Several signals of consistency [6,7,8,9,10,11] have lead to assign a predictive power to the MTP, which (combined with other QCD-related properties [59]) has long been the computational strategy for extracting multi-loop anomalous dimensions of twist operators from algebraic Bethe equations [12,13,14,15]. Remarkably, patterns of uniform leading transcendentality -in this case the degree of transcendentality is 2n for n-loop results -appear also in N = 4 SYM scattering amplitudes [11,16] 4 even at the subleading-color (non-planar) level [18], in light-like Wilson loops [19] 5 as well as in 1 lorenzo.bianchi@physik.hu-berlin.de 2

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Deep Inelastic J/ψ Production at HERA in the Colour Singlet Model with kT-Factorization

Lipatov

Zotov

2004

Heavy Quark Physics

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In the framework of k T -factorization QCD approach and the colour singlet model we consider J/ψ inelastic photo-and leptoproduction processes at HERA. We investigate the dependences of the single differential and double differential cross section on different forms of the unintegrated gluon distribution. The z and p T dependences of the spin aligment parameter α are presented also. Our theoretical predictions agree well with recent data taken by the H1 and ZEUS collaborations at HERA. It is shown that experimental study of the polarization J/ψ mesons at low Q 2 < 1 GeV 2 is an additional test of BFKL gluon dynamics.

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The Structure Functions F2 c , F L and F L c in the Framework of the k T Factorization

Cited by 16 publications

References 61 publications

Conformal collider physics: energy and charge correlations

Conformal collider physics: energy and charge correlations

On DIS Wilson coefficients inN=4super Yang–Mills theory

Deep Inelastic J/ψ Production at HERA in the Colour Singlet Model with kT-Factorization

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