Inclusive gluon production in pion-proton collisions and the principle of maximum conformality renormalization scale

Ahmadov, A. I.; Aydin, C.; Uzun, Özlem

doi:10.1103/physrevd.89.014018

Cited by 8 publications

(7 citation statements)

References 42 publications

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“…In addition to the examples discussed here, other PMC applications can be found in Refs. [79][80][81][82][83][84]86]. The predicted error bars for "unknown" higher-order corrections under the PMC scale setting quickly approaches a steady point.…”

Section: Discussionmentioning

confidence: 99%

Renormalization group invariance and optimal QCD renormalization scale-setting: a key issues review

et al. 2015

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A valid prediction for a physical observable from quantum field theory should be independent of the choice of renormalization scheme--this is the primary requirement of renormalization group invariance (RGI). Satisfying scheme invariance is a challenging problem for perturbative QCD (pQCD), since a truncated perturbation series does not automatically satisfy the requirements of the renormalization group. In a previous review, we provided a general introduction to the various scale setting approaches suggested in the literature. As a step forward, in the present review, we present a discussion in depth of two well-established scale-setting methods based on RGI. One is the 'principle of maximum conformality' (PMC) in which the terms associated with the β-function are absorbed into the scale of the running coupling at each perturbative order; its predictions are scheme and scale independent at every finite order. The other approach is the 'principle of minimum sensitivity' (PMS), which is based on local RGI; the PMS approach determines the optimal renormalization scale by requiring the slope of the approximant of an observable to vanish. In this paper, we present a detailed comparison of the PMC and PMS procedures by analyzing two physical observables R(e+e-) and [Formula: see text] up to four-loop order in pQCD. At the four-loop level, the PMC and PMS predictions for both observables agree within small errors with those of conventional scale setting assuming a physically-motivated scale, and each prediction shows small scale dependences. However, the convergence of the pQCD series at high orders, behaves quite differently: the PMC displays the best pQCD convergence since it eliminates divergent renormalon terms; in contrast, the convergence of the PMS prediction is questionable, often even worse than the conventional prediction based on an arbitrary guess for the renormalization scale. PMC predictions also have the property that any residual dependence on the choice of initial scale is highly suppressed even for low-order predictions. Thus the PMC, based on the standard RGI, has a rigorous foundation; it eliminates an unnecessary systematic error for high precision pQCD predictions and can be widely applied to virtually all high-energy hadronic processes, including multi-scale problems.

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Section: Discussionmentioning

confidence: 99%

Renormalization group invariance and optimal QCD renormalization scale-setting: a key issues review

et al. 2015

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“…Some recent higher order PMC applications can be found in Refs. [39][40][41][42][43][44][45][46][47][48]. In particular, we have shown that after applying the PMC, the SM predictions for the top-quark charge asymmetry at the Tevatron have only 1σ deviation from the CDF and D0 measurements [19]; the large discrepancies of the top-quark charge asymmetry between the SM estimate and the data are thus greatly reduced.…”

Section: Introductionmentioning

confidence: 85%

Application of the principle of maximum conformality to the top-quark charge asymmetry at the LHC

Wang

et al. 2014

Phys. Rev. D

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The Principle of Maximum Conformality (PMC) provides a systematic and process-independent method to derive renormalization scheme-and scale-independent fixed-order pQCD predictions. In Ref.[19], we studied the top-quark charge asymmetry at the Tevatron. By applying the PMC, we have shown that the large discrepancies for the top-quark charge asymmetry between the Standard Model estimate and the CDF and D0 data are greatly reduced. In the present paper, with the help of the Bernreuther-Si program, we present a detailed PMC analysis on the top-quark pair production up to next-to-next-to-leading order level at the LHC. After applying PMC scale setting, the pQCD prediction for the top-quark charge asymmetry at the LHC has very small scale uncertainty; e.g., AC|7TeV;PMC = 1.15 = mt, we obtain AC|7TeV;PMC = 2.67%, AC|8TeV;PMC = 2.39%, and AC|14TeV;PMC = 1.28%.

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“…The calculation and analysis of the higher-twist effects on the dependence of the pion distribution amplitude in inclusive gluon production at πp collision within holhographic and pQCD approaches are the interesting research problems. In our previously study [12], using the principle of maximum conformality (PMC) and Brodsky-Lepage-Mackenzie (BLM) approaches, we have calculated the contribution of the higher-twist mechanism to the largep T inclusive gluon production cross section in πp collisions [12]. In this study, we compute the contribution of the higher-twist effects to an inclusive gluon production cross-section by using various pion distribution amplitudes from holographic and pQCD, and applying the frozen and running coupling [17] constant approaches in order to compute the effects of the infrared renormalons.…”

Section: Introductionmentioning

confidence: 93%

“…The aim of this study is calculation and analysis of the inclusive gluon production in the pion-proton collisions using the frozen and running coupling constant approaches. Using this approaches, the higher twist effects have been already calculated by many authors [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Higher-Twist Mechanism and Inclusive Gluon Production in Pion-Proton Collisions

Ahmadov

Aydin

Myrzakulov

et al. 2016

J. Phys.: Conf. Ser.

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We calculate the contribution of the higher-twist Feynman diagrams to the large-p T inclusive gluon production cross-section in πp collisions in case of the running coupling and frozen coupling approaches within perturbative and holographic QCD. The structure of infrared renormalon singularities of the higher-twist subprocess cross-section is obtained and the resummed higher-twist cross-sections (Borel sum) with the ones obtained in the framework of the frozen coupling approach and leading-twist cross-section are compared and analyzed.

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Inclusive gluon production in pion-proton collisions and the principle of maximum conformality renormalization scale

Cited by 8 publications

References 42 publications

Renormalization group invariance and optimal QCD renormalization scale-setting: a key issues review

Renormalization group invariance and optimal QCD renormalization scale-setting: a key issues review

Application of the principle of maximum conformality to the top-quark charge asymmetry at the LHC

Higher-Twist Mechanism and Inclusive Gluon Production in Pion-Proton Collisions

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