On some possible extensions of the Brodsky-Lepage-Mackenzie approach beyond the next-to-leading order

Grunberg, G.; Kataev, A. L.

doi:10.1016/0370-2693(92)90404-r

Cited by 66 publications

(110 citation statements)

References 22 publications

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“…Therefore, one can improve a leading-order result by setting an appropriate scale without calculating the full NLO prediction. Extensions of the method to higher orders are given in [5], [6], and [7].…”

Section: The Blm Scale-fixing Proceduresmentioning

confidence: 99%

Renormalization scale setting for the evolution equation of nonsinglet structure functions and their moments

Wong

1996

Phys. Rev. D

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Section: The Blm Scale-fixing Proceduresmentioning

confidence: 99%

Renormalization scale setting for the evolution equation of nonsinglet structure functions and their moments

Wong

1996

Phys. Rev. D

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“…It is commonly believed that the renormalization scale entering the QCD coupling is an arbitrary parameter in perturbative QCD; in fact, just as in Abelian theory, the renormalization scale is a physical quantity, representing the summation of QCD vacuum polarization contributions to the gluon propagator in the skeleton expansion [114,115]. In general, multiple renormalization scales appear in a pQCD expression whenever multiple invariants appear in the reaction.…”

Section: Setting the Renormalization Scale In Perturbative Qcdmentioning

confidence: 99%

“…The renormalization scale is similarly unambiguous in QCD: the cuts due to quark loops in the dressed gluon propagator appear at the physical quark thresholds. Equivalently, one can use the scheme-independent BLM procedure [114,116,115] to eliminate the appearance of the β -function in the perturbative series.…”

Section: Setting the Renormalization Scale In Perturbative Qcdmentioning

confidence: 99%

Novel Aspects of QCD in High Transverse Momentum Production Processes at RHIC and the LHC

Brodsky¹

2010

Proceedings of 4th International Workshop High-pT Physics at LHC 09 — PoS(High-pT Physics09)

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The presence of direct higher-twist processes, where a proton is produced directly in the hard subprocess, can explain the "baryon anomaly" -the large proton-to-pion ratio seen at RHIC in high centrality heavy ion collisions. Direct hadronic processes can also account for the deviation from leading-twist pQCD scaling at fixedRescattering interactions from gluon-exchange, normally neglected in the parton model, have a profound effect in QCD hardscattering reactions, leading to leading-twist single-spin asymmetries, diffractive deep inelastic scattering, diffractive hard hadronic reactions, the breakdown of the Lam-Tung relation in DrellYan reactions, nuclear shadowing -all leading-twist dynamics not incorporated in the light-front wavefunctions of the target computed in isolation. Antishadowing is shown to be quark flavor specific and thus different in charged and neutral deep inelastic lepton-nucleus scattering. Other aspects of quantum effects in heavy ion collisions include hidden color in nuclear wavefunctions, the use of diffraction to materialize the Fock states of a hadronic projectile and test QCD color transparency, and the important consequences of color-octet intrinsic heavy quark distributions in the proton for particle and Higgs production at high x F . The "ridge" -the same-side long-range rapidity correlation observed at RHIC in high centrality heavy ion collisions is suggested as due to the imprint of semihard DGLAP gluon radiation from initial-state partons which have transverse momenta biased toward the trigger. I also discuss how the AdS/CFT correspondence between Anti-de Sitter space and conformal gauge theories allows one to compute the analytic form of frame-independent light-front wavefunctions of mesons and baryons and to compute quark and gluon hadronization at the amplitude level. Finally, the BLM method for determining the renormalization scale in pQCD calculations is reviewed.

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“…For example, optimized scale and scheme choices have been proposed, such as the method of effective charges (ECH) [5], the principle of minimal sensitivity (PMS) [6], and the BrodskyLepage-Mackenize (BLM) scale-setting prescription [7] and its generalizations [8][9][10][11][12][13][14][15][16][17][18][19][20]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

The Meson Production in Proton–proton Collisions in Next-to-Leading Order and Infrared Renormalons

Ahmadov

Burjaliyev

2011

Int. J. Mod. Phys. E

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In this article, we investigate the next-to-leading order contribution of the higher-twist Feynman diagrams to the large-p T inclusive pion production cross section in proton-proton collisions and present the general formulae for the higher-twist differential cross sections in the case of the running coupling and frozen coupling approaches. We compared the resummed next-to-leading order highertwist cross sections with the ones obtained in the framework of the frozen coupling approach and leading-twist cross section. The structure of infrared renormalon singularities of the higher twist subprocess cross section and it's resummed expression (the Borel sum) are found. It is shown that the resummed result depends on the choice of the meson wave functions used in the calculations.We discuss the phenomenological consequences of possible higher-twist contributions to the meson production in proton-proton collisions in next-to-leading order at RHIC.

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On some possible extensions of the Brodsky-Lepage-Mackenzie approach beyond the next-to-leading order

Cited by 66 publications

References 22 publications

Renormalization scale setting for the evolution equation of nonsinglet structure functions and their moments

Renormalization scale setting for the evolution equation of nonsinglet structure functions and their moments

Novel Aspects of QCD in High Transverse Momentum Production Processes at RHIC and the LHC

The Meson Production in Proton–proton Collisions in Next-to-Leading Order and Infrared Renormalons

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