Low x particle spectra in the modified leading logarithm approximation

Albino, S.; Kniehl, Bernd A.; Krämer, G.

doi:10.1140/epjc/s2004-02030-1

Cited by 12 publications

(17 citation statements)

References 20 publications

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“…[12], which was pointed out and remedied in Ref. [9]. Figure 3 in fact shows that the evolution at large ξ follows the data well.…”

Section: B Incorporation Of Soft Gluon Resummationsupporting

confidence: 58%

“…In Ref. [9], this inability to describe large ξ (small x p ) data using the naive approach to the MLLA was attributed to the formally beyond-MLLA evolutions of the higher moments (skewness, kurtosis etc.) becoming too large at large √ s, and when these were fixed to be zero it was found that the MLLA could give an excellent description of data up to the highest values of ξ currently measured.…”

Section: Comparisons With Datamentioning

confidence: 99%

“…becoming too large at large √ s, and when these were fixed to be zero it was found that the MLLA could give an excellent description of data up to the highest values of ξ currently measured. In the DL+LO+LOδ scheme here, the evolution of the higher moments should be somewhat suppressed by the FO contribution [9]. However, we will nevertheless impose Eq.…”

Section: Comparisons With Datamentioning

confidence: 99%

“…Indeed, a fit in the DL+LO+LOδ scheme to data in the same region as that used in the fits of Ref. [9],…”

Section: B Incorporation Of Soft Gluon Resummationmentioning

confidence: 99%

“…(The complete evolution is obtained by using the approximation that the quark FFs are identical, and equal to the gluon FF multiplied by a calculable constant.) Provided all incomplete higher order terms are not allowed to become too large, the MLLA evolution can describe small x data very well [9]. However, although the cross section over a large range of x can be described by pQCD in general, two different approaches, for which no matching conditions exist, are required to relate one to the other.…”

Section: Introductionmentioning

confidence: 99%

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Resummation of soft gluon logarithms in the DGLAP evolution of fragmentation functions

et al. 2006

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We define a general scheme for the evolution of fragmentation functions which resums both soft gluon logarithms and mass singularities in a consistent manner and to any order, and requires no additional theoretical assumptions. Using the Double Logarithmic Approximation and the known perturbative results for the splitting functions, we present our scheme with the complete contribution from the double logarithms, being the largest soft gluon logarithms. We show that the resulting approximation is more complete than the Modified Leading Logarithm Approximation even with the fixed order contribution calculated to leading order only, and find, after using it to fit quark and gluon fragmentation functions to experimental data, that this approximation in our scheme gives a good description of the data from the largest xp values to the peak region in ξ = ln(1/xp), in contrast to other approximations. In addition, we develop a treatment of hadron mass effects which gives additional improvements at large ξ.

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“…[12], which was pointed out and remedied in Ref. [9]. Figure 3 in fact shows that the evolution at large ξ follows the data well.…”

Section: B Incorporation Of Soft Gluon Resummationsupporting

confidence: 58%

Section: Comparisons With Datamentioning

confidence: 99%

Section: Comparisons With Datamentioning

confidence: 99%

“…Indeed, a fit in the DL+LO+LOδ scheme to data in the same region as that used in the fits of Ref. [9],…”

Section: B Incorporation Of Soft Gluon Resummationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Resummation of soft gluon logarithms in the DGLAP evolution of fragmentation functions

et al. 2006

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The fragmentation spectrum from space-time reciprocity

Neill

2021

J. High Energ. Phys.

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Analyzing the single inclusive annihilation spectrum of charged hadrons in e+e− collisions, I confront the hadronization hypothesis of local parton-hadron duality with a systematic resummation of the dependence on the small energy fraction. This resummation is based on the reciprocity between time-like and space-like splitting processes in 4 − 2ϵ-dimensions, which I extend to resum all the soft terms of the cross-section for inclusive jet production. Under the local-parton-hadron duality hypothesis, the resulting distribution of jets essentially determines the spectrum of hadrons as the jet radius goes to zero. Thus I take the resummed perturbative jet function as the non-perturbative fragmentation function with an effective infra-red coupling. I find excellent agreement with data, and comment on the mixed leading log approximation previously used to justify local parton-hadron duality.

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Energy evolution of the moments of the hadron distribution in QCD jets including NNLL resummation and NLO running-coupling corrections

Pérez-Ramos

d’Enterria

2014

J. High Energ. Phys.

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The moments of the single inclusive momentum distribution of hadrons in QCD jets, are studied in the next-to-modified-leading-log approximation (NMLLA) including next-to-leading-order (NLO) corrections to the α s strong coupling. The evolution equations are solved using a distorted Gaussian parametrisation, which successfully reproduces the spectrum of charged hadrons of jets measured in e + e − collisions. The energy dependencies of the maximum peak, multiplicity, width, kurtosis and skewness of the jet hadron distribution are computed analytically. Comparisons of all the existing jet data measured in e + e − collisions in the range √ s ≈ 2-200 GeV to the NMLLA+NLO * predictions allow one to extract a value of the QCD parameter Λ QCD , and associated two-loop coupling constant at the Z resonance α s (m 2 Z ) = 0.1195 ± 0.0022, in excellent numerical agreement with the current world average obtained using other methods.

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Low x particle spectra in the modified leading logarithm approximation

Cited by 12 publications

References 20 publications

Resummation of soft gluon logarithms in the DGLAP evolution of fragmentation functions

Resummation of soft gluon logarithms in the DGLAP evolution of fragmentation functions

The fragmentation spectrum from space-time reciprocity

Energy evolution of the moments of the hadron distribution in QCD jets including NNLL resummation and NLO running-coupling corrections

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