PDF fit in the fixed-flavor-number scheme

J.Bluemlein; S.Alekhin; S.Moch

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PDF fit in the fixed-flavor-number scheme

S.Alekhin, J.Bluemlein, S.Moch

High Energy Physics - Phenomenology · Submitted 21 Feb 2012

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Based on the recent ABM11 PDF analysis of world data for deep-inelastic scattering and fixed-target data for the Drell-Yan process with the running-mass definition for heavy quarks we show that fixed flavor number scheme is sufficient for describing the deep-inelastic-scattering data in the entire kinematic range.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.11 · human participants 0.02 · controlled comparison 0.27 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.95 · mentions code or data availability 0.02.

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We discuss the heavy-quark contribution to deep inelastic scattering in the scheme with $n_f=3,4,5$ fixed flavors. Based on the recent ABM11 PDF analysis of world data for deep-inelastic scattering and fixed-target data for the Drell-Yan process with the running-mass definition for heavy quarks we show that fixed flavor number scheme is sufficient for describing the deep-inelastic-scattering data in the entire kinematic range. We compare with other PDF sets and comment on the implications for measuring the strong coupling constant $\alpha_s(M_Z)$.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We discuss the heavy-quark contribution to deep inelastic scattering in the scheme with $n_f=3,4,5$ fixed flavors.	contribution 0.66	0.56	0.04	unclear 0.77
s1	Based on the recent ABM11 PDF analysis of world data for deep-inelastic scattering and fixed-target data for the Drell-Yan process with the running-mass definition for heavy quarks we show that fixed flavor number scheme is sufficient for describing the deep-inelastic-scattering data in the entire kinematic range.	result 0.96	0.90	0.93	asserted 1.00
s2	We compare with other PDF sets and comment on the implications for measuring the strong coupling constant $\alpha_s(M_Z)$.	interpretation 0.53	0.81	0.04	unclear 0.82

What kind of paper the classifier reports this is: theoretical result 0.55 · evidence from analysis of existing data 0.97.

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The paper

Original abstract

We discuss the heavy-quark contribution to deep inelastic scattering in the scheme with $n_f=3,4,5$ fixed flavors. Based on the recent ABM11 PDF analysis of world data for deep-inelastic scattering and fixed-target data for the Drell-Yan process with the running-mass definition for heavy quarks we show that fixed flavor number scheme is sufficient for describing the deep-inelastic-scattering data in the entire kinematic range. We compare with other PDF sets and comment on the implications for measuring the strong coupling constant $\alpha_s(M_Z)$.

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References

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

On the next-to-next-to-leading order QCD corrections to heavy-quark production in deep-inelastic scattering
hep-ph 2012-05 conditional novelty 7.0 of 10

New NNLO threshold and small-x logarithms plus high-scale matching are combined into approximate heavy-quark DIS coefficient functions whose uncertainty is large only below x about 10^-3.
Measurement of the muon charge asymmetry in inclusive pp to WX production at sqrt(s) = 7 TeV and an improved determination of light parton distribution functions
hep-ex 2013-12 accept novelty 5.0 of 10

The muon charge asymmetry in W production is measured in 11 pseudorapidity bins at two muon transverse-momentum thresholds, and combined with HERA deep-inelastic data and CMS W-plus-charm data to improve the proton's ...

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3 arXiv papers cite this in 5 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 3 sentences without a confident label

Uses its data or values 1 paper

The dotted and short-dashed curves are the contributions of the LO and NLO coefficient functions to the NNLO results, i.e., these quantities have been calculated using the NNLO values of the strong coupling and the parton distributions as determined in Ref. [ref] .

On the next-to-next-to-leading order QCD corrections to heavy-quark production in deep-inelastic scattering · Charm and bottom structure functions at NNLO · 0.94

What it cites · 52 sentences without a confident label

Builds on 1 paper

Taking advantage of the running-mass definition and new massive NNLO corrections we update our ABKM09 PDFs, which were obtained within the fixed-flavor-number (FFN) scheme at NLO and NNLO [ref] , and produce in this way a new PDF set, ABM11.

The 3-, 4-, and 5-flavor NNLO Parton from Deep-Inelastic-Scattering Data and at Hadron Colliders · Introduction · 0.92

Uses the method or tool of 8 papers

The 4(5)-flavor ABM11 PDFs are matched with the 3(4)-flavor ones at the scale of $m_c$ and $m_b$, respectively, employing massive OMEs taken in the running-mass definition [ref] .

Heavy-quark deep-inelastic scattering with a running mass · Introduction · 0.96
They are calculated with the standard statistical criterion $Δχ^2=1$ taking into account correlations of the systematic uncertainties in the data within the covariance matrix approach [ref] .

Statistical properties of the estimator using covariance matrix · Introduction · 1.00
All differential distributions for $W$- and $Z$-boson production are computed with the fully exclusive NNLO program DYNNLO [ref] , which allows to take into account the kinematical cuts imposed in the experiments (cf. Fig. [ref]).

W boson production at hadron colliders: the lepton charge asymmetry in NNLO QCD · Introduction · 1.00

Uses data or values from 11 papers

Besides, we include into the fit the CC HERA data obtained for the electron and positron beams [ref] .

Combined Measurement and QCD Analysis of the Inclusive ep Scattering Cross Sections at HERA · Introduction · 0.96
With account of these corrections the high-$y$ H1 data [ref] , which are quite sensitive to the contribution from $F_L$ are described pretty well, with the value of $χ^2=137$ for 130 data points.

Measurement of the Inclusive e{\pm}p Scattering Cross Section at High Inelasticity y and of the Structure Function FL · Introduction · 0.84
Firstly, the separate H1 [ref] and ZEUS [ref] data sets on the NC inclusive SFs are replaced by much more accurate combined HERA data [ref] .

Measurement of the neutral current cross section and F2 structure function for deep inelastic e+p scattering at HERA · Introduction · 1.00

Compares with 6 papers

To demonstrate that the treatment of the charm production within the FFN scheme is applicable at that large transverse momentum we compared the predictions based on the variant of the NNLO ABKM09 fit performed with the running-mass scheme [ref] .

Heavy-quark deep-inelastic scattering with a running mass · Introduction · 0.95
The NNLO predictions based on the MSTW [ref] and JR09 [ref] PDFs are in a good agreement with ours and with the H1 data, while the NLO NN21 [ref] predictions systematically undershoot the data.

Impact of Heavy Quark Masses on Parton Distributions and LHC Phenomenology · Introduction · 0.99
The NNLO predictions based on the MSTW [ref] and JR09 [ref] PDFs are in a good agreement with ours and with the H1 data, while the NLO NN21 [ref] predictions systematically undershoot the data.

Dynamical NNLO parton distributions · Introduction · 0.99

Cites as support 2 papers

The massive Wilson coefficients re-calculated in terms of the running mass also demonstrate improved perturbative stability and the reduced renormalization/factorization scale sensitivity at the HERA kinematics [ref] .

Heavy-quark deep-inelastic scattering with a running mass · Introduction · 0.99
Furthermore the results of the PDF-analysis are not sensitive to the choice of either the VFN scheme as the BMSN prescription or the FFN scheme [ref] .

The 3-, 4-, and 5-flavor NNLO Parton from Deep-Inelastic-Scattering Data and at Hadron Colliders · Introduction · 0.98

Cites as background 5 papers

The matching conditions between 3- and 4-flavor schemes are known up to the second order in $α_s$ [ref] and the first third-order corrections are also available [ref] .

The O(\alpha_s^3) Massive Operator Matrix Elements of O(n_f) for the Structure Function F_2(x,Q^2) and Transversity · Introduction · 0.91
The matching conditions between 3- and 4-flavor schemes are known up to the second order in $α_s$ [ref] and the first third-order corrections are also available [ref] .

The Gluonic Operator Matrix Elements at O(\alpha_s^2) for DIS Heavy Flavor Production · Introduction · 0.91
The matching conditions between 3- and 4-flavor schemes are known up to the second order in $α_s$ [ref] and the first third-order corrections are also available [ref] .

Charm electroproduction viewed in the variable-flavour number scheme versus fixed-order perturbation theory · Introduction · 0.91

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