REVIEW
Inclusive D^{*+-} Production in p p-bar Collisions with Massive Charm Quarks
High Energy Physics - Phenomenology · Submitted 21 Oct 2004 · 30 references
Pith's verdict: The scheme construction is solid and worth citing; the abstract's 'reasonable agreement' with CDF is the one claim that does not survive contact with Fig. 8.
T0 · AI review
Why Pith says this
Highlight any text to comment on it.
Referee report
The paper
The paper claims
The paper shows that taking the charm-quark mass to zero in a massive next-to-leading-order calculation does not reproduce the standard massless MS-bar result unless finite subtraction terms are added.
The reading
What carries the argument
The load-bearing device is the decomposition of the $m o 0$ cross section into plus-distributions and logarithms with coefficients $c_i$, split into MS-bar pieces and finite subtraction terms $Delta c_i$. The $Delta c_i$ are fixed by matching the massive fixed-flavor-number result to the zero-mass variable-flavor-number result, and include a perturbative $c o c$ fragmentation function $d_{cc}$ that generates the Abelian and $C_F C_A$ pieces. Rescaling terms with $ln(mu^2/m^2)$ then move the calculation to $mu_R=mu_F=mu'_F=2m_T$.
Extended reading notes
Core claim
The central claim is that the limits $m o 0$ and $arepsilon o 0$ do not commute: regularizing collinear singularities with a finite charm mass produces different finite pieces from dimensional regularization with $m=0$. The authors derive the complete massless limit of the massive NLO cross sections for the $gg$, $qar{q}$, and $gq$ channels, isolate the finite difference terms $Delta c_i$, and show that subtracting them turns the massive calculation into a general-mass variable-flavor-number scheme whose result approaches the zero-mass variable-flavor-number MS-bar result as $p_T$ increases. They verify the subtracted massless result against an independent implementation of the zero-mass calculation. The final CDF comparison is reasonable but undershoots the data by 20 to 34 percent for the scale choices that best fit.
Load-bearing premise
For the final Tevatron comparison, the load-bearing premise is that the gluon and light-quark fragmentation contributions, which the paper imports unchanged from the massless analysis even though they are slightly more than 30 percent of the total, carry no charm-mass dependence that matters at the quoted accuracy.
Editorial extensions
If this is right
- The same finite subtraction can be applied to double-resolved photon-photon and resolved photon-proton cross sections, where the same $gg$ and $gq$ subprocesses appear.
- The scheme gives a consistent way to use massless MS-bar parton distributions and fragmentation functions while retaining $m^2/p_T^2$ corrections at intermediate transverse momentum.
- At high $p_T$ the massive and massless predictions should converge, so any persistent difference signals either residual mass terms or missing higher orders.
- The CDF undershoot can be addressed by adjusting scales or the gluon-to-$D^*$ fragmentation function, which the authors flag for future work.
Reading between the lines
- Because gluon fragmentation is over 30 percent of the total and nearly $p_T$-independent, a modest retuning of that fragmentation function could close the normalization gap without changing the shape; this is my inference, not the paper's claim.
- The scheme-matching structure is process-independent, so the same finite subtraction pattern should transfer to $B$-meson production and to other heavy-flavored hadrons.
- If future parton distributions and fragmentation functions include heavy-quark mass effects, the finite subtraction terms would need to be rederived to match the new scheme; otherwise the convergence test is only against the old MS-bar baseline.
- The residual scale dependence at low $p_T$ suggests that the cleanest test of the scheme relation is at larger $p_T$, where the massive and massless results are close.
Original abstract
We calculate the next-to-leading order cross section for the inclusive production of D^{*+-} mesons in p p-bar collisions as a function of the transverse momentum and the rapidity in two approaches using massive or massless charm quarks. For the inclusive cross section, we derive the massless limit from the massive theory. We find that this limit differs from the genuine massless version with MS-bar factorization by finite corrections. By adjusting subtraction terms, we establish a massive theory with MS-bar subtraction which approaches the massless theory with increasing transverse momentum. With these results and including the contributions due to the charm and anti-charm content of the proton and anti-proton, we calculate the inclusive D^{*+-} cross section in p p-bar collisions using realistic evolved non-perturbative fragmentation functions and compare with recent data from the CDF Collaboration at the Fermilab Tevatron at center-of-mass energy root(S) = 1.96 TeV. We find reasonable, though not perfect, agreement with the measured cross sections.
The compiled record
The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
The abstract, sentence by sentence
We calculate the next-to-leading order cross section for the inclusive production of D^{*+-} mesons in p p-bar collisions as a function of the transverse momentum and the rapidity in two approaches using massive or massless charm quarks. For the inclusive cross section, we derive the massless limit from the massive theory. We find that this limit differs from the genuine massless version with MS-bar factorization by finite corrections. By adjusting subtraction terms, we establish a massive theory with MS-bar subtraction which approaches the massless theory with increasing transverse momentum. With these results and including the contributions due to the charm and anti-charm content of the proton and anti-proton, we calculate the inclusive D^{*+-} cross section in p p-bar collisions using realistic evolved non-perturbative fragmentation functions and compare with recent data from the CDF Collaboration at the Fermilab Tevatron at center-of-mass energy root(S) = 1.96 TeV. We find reasonable, though not perfect, agreement with the measured cross sections.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We calculate the next-to-leading order cross section for the inclusive production of D^{*+-} mesons in p p-bar collisions as a function of the transverse momentum and the rapidity in two approaches using massive or massless charm quarks. | contribution 0.92 | 0.96 | 0.07 | asserted 0.99 |
| s1 | For the inclusive cross section, we derive the massless limit from the massive theory. | method 0.73 | 0.96 | 0.05 | asserted 1.00 |
| s2 | We find that this limit differs from the genuine massless version with MS-bar factorization by finite corrections. | result 1.00 | 0.95 | 0.14 | asserted 1.00 |
| s3 | By adjusting subtraction terms, we establish a massive theory with MS-bar subtraction which approaches the massless theory with increasing transverse momentum. | method 0.70 | 0.96 | 0.14 | asserted 1.00 |
| s4 | With these results and including the contributions due to the charm and anti-charm content of the proton and anti-proton, we calculate the inclusive D^{*+-} cross section in p p-bar collisions using realistic evolved non-perturbative fragmentation functions and compare with recent data from the CDF Collaboration at the Fermilab Tevatron at center-of-mass energy root(S) = 1.96 TeV. | method 0.71 | 0.95 | 0.18 | asserted 0.99 |
| s5 | We find reasonable, though not perfect, agreement with the measured cross sections. | result 0.95 | 0.95 | 0.61 | asserted 0.98 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
Figures
Showing 4 of the paper's 8 figures. See all figures in the PDF ↗ Figures reproduced from arXiv:hep-ph/0410289 by the authors.
References
How later papers used it
64 later papers cite it
2 papers by the same authors are listed below: 2 used its method or tool.
Uses its method or tool 2 of 7 papers with this label · 2 by the same authors
By the same authors
-
Used the GM-VFNS as it was introduced in this paper.
Prompt neutrinos from atmospheric charm in the general-mass variable-flavor-number scheme (2017) (same authors) · 0.99 · paraphrased: the licence does not allow quoting
-
Used the GM-VFNS as it was introduced in this paper to compute the charm production cross sections needed to determine the prompt-neutrino fluxes.
Atmospheric Charm, QCD and Neutrino Astronomy (2018) (same authors) · 1.00 · paraphrased: the licence does not allow quoting
How the literature uses it
58 arXiv papers cite this in 89 sentences
Papers citing it · 53 sentences without a confident label
Uses its method or tool 7 papers
-
For the direct part, our calculation is based on Refs. [ref] , for the resolved part we use the results of Refs. [ref] .
Inclusive photoproduction of D*+- mesons at next-to-leading order in the General-Mass Variable-Flavor-Number Scheme · Introduction · 0.93
-
In this work, we will use the GM-VFNS as it was introduced in Ref. [ref] .
Prompt neutrinos from atmospheric charm in the general-mass variable-flavor-number scheme · General-Mass Variable-Flavor-Number Scheme: details of our NLO implementation and comparison with LHCb experimental data · 0.99
-
In this work, we will use the GM-VFNS as it was introduced in Ref. [ref] to compute the charm production cross sections needed to determine the prompt-neutrino fluxes.
Atmospheric Charm, QCD and Neutrino Astronomy · GM-VFNS · 1.00
Compares with it 5 papers
-
The -differential invariant production cross section of electrons from heavy-flavor hadron decays at mid-rapidity in collisions at = 2.76 TeV is shown in comparison to pQCD calculations from FONLL [ref] , GM-VFNS [ref] , and $k_T$-factorization [ref] in Fig. [ref].
Measurement of electrons from semileptonic heavy-flavor hadron decays in pp collisions at $\sqrt{s} = 2.76$ TeV · Results · 1.00
-
The measured cross-sections are compared with the general-mass variable-flavour-number scheme (GM-VFNS) [ref] and the fixed-order next-to-leading-logarithm (FONLL) [ref] predictions.
Differential cross-section measurements of $D^{\pm}$ and $D_{s}^{\pm}$ meson production in proton-proton collisions at $\sqrt{s} = 13$ TeV with the ATLAS detector · Data sample, event simulation and theoretical predictions · 1.00
-
The GM-VFNS predictions of Ref. [ref] , which are evaluated with FFs determined in the ZM-VFNS [ref] , describe these data within their errors, but are still somewhat on the low side.
Open charm production at high energies and the quark Reggeization hypothesis · $D$-meson production at the Tevatron · 0.84
Cites it as background 22 papers
-
On the other hand, the general-mass variable-flavor-number scheme (GM-VFNS) [ref] provides a theoretical framework which combines the FFNS and the ZM-VFNS.
Inclusive B-meson production at small p_T in the general-mass variable-flavor-number scheme · Introduction · 0.88
-
The theoretical background and explicit analytic results of the GM-VFNS approach have been discussed in detail previously in Ref. [ref] and the references cited therein.
Inclusive Charmed-Meson Production at the CERN LHC · Setup and Input · 0.93
-
Calculations for LHC energies implementing the collinear factorisation approach, like the General-Mass Variable-Flavour-Number Scheme (GM-VFNS) [ref] and Fixed Order plus Next-to-Leading Logarithms (FONLL) [ref] , provide a Next-to-Leading Order (NLO) accuracy with all-order resummation of next-to-leading logarithms.
Measurement of beauty-quark production in pp collisions at $\sqrt{s}=13$ TeV via non-prompt D mesons · Introduction · 0.88
Discussion
Disagree with the review, or know something it missed? Leave a comment, highlight any passage above to comment on it, or challenge this review formally.