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Review
Peer-Review Record

Vector Quarkonia at the LHC with Jethad: A High-Energy Viewpoint

Universe 2023, 9(7), 324; https://doi.org/10.3390/universe9070324
by Francesco Giovanni Celiberto
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Reviewer 3: Anonymous
Universe 2023, 9(7), 324; https://doi.org/10.3390/universe9070324
Submission received: 23 May 2023 / Revised: 30 June 2023 / Accepted: 2 July 2023 / Published: 7 July 2023
(This article belongs to the Special Issue Recent Progress in Hadron Spectroscopy)

Round 1

Reviewer 1 Report

The paper reviews the theoretical formalism relevant to the description of quarkonium production at high-energy colliders in certain kinematic domains.

In particular the author concentrates on quarkonium production associated with another quarkonium or jet at a large rapidity distance. Transverse momenta are assumed to be large in comparison to masses of particles involved. One expects this domain to be sensitive to small-x resummation effects, and indeed the author's approach is based on BFKL formalism.

The applications are restricted to vector mesons, but extension to other states pose no problems of principle. The review is largely concerned with contributions of the author with his collaborators. However a rather comprehensive list of references is given.

There is not yet a comparison to experimental data, and the review rather emphasises the theoretical concepts and the description of a software package "JETHAD" developed by the author. To the best of my knowledge it is not yet publicly available. 

I have read the paper with some gain to my understanding, and I think it is a useful addition to the literature which deserves to be published.

I have the following suggestions:

1. In the abstract: the novel ZCW19+ determination --> the novel ZCW19+ determination of fragmentation functions

2. There appear to be a number of typos in the coefficient functions in Appendix A (27,28,29).

Comparing to (30) I believe that in the logarithms one has to replace in denominators x --> x_Q, otherwise above cited functions would be independent of x.

Finally, there are a number of simple typos/grammatical lapses, such as: 

 line 22: since might couple --> since they might couple

line 120: must encoded --> must be encoded

line 121: regulated by --> governed by

 

Author Response

I thank the Referee for her/his careful reading and for her/his valuable comments. 

I list here answers to points raised.

For the sake of readability, the corresponding changes and/or additions in the revised version of the manuscript have been marked up in blue color by making use of the “Changes” package in LaTeX.

Furthermore, following the recommendations of the Editorial Office, minor style changes in text writing have been made to reduce the overlap with other published articles, in particular [Eur. Phys. J. C 82 (2022) 10, 929]. They are highlighted in red color by making use of the user-defined “\revision” command.


Answers to Referee's points:

1. A sentence in the abstract has been improved by taking care of Referee's suggestion.

2. Thanks for spotting typos in Eqs. (27) to (29) in Appendix. They have been corrected.

3. Typos/grammatical lapses on lines 22, 120, and 121 of the previous version (new lines 72, 205 and 206) of the manuscript have been fixed.


Further remarks:

A. The affiliation has been slightly updated.

B. Some references were automatically updated via BibTeX.

C. A brief introduction of general QCD features, together with an incomplete list of QCD portals beyond SM has been added in two new paragraphs of the Introduction (lines 76-92). Correspondingly, new Refs. [1-18] have been added.

D. A short discussion on top quarkonia has been added (Introduction, lines 126-138), together with new Refs. [27-44].

E. A short sentence explaining what "quarkonium production puzzle" means has been added in the Introduction (see lines 141-143). 

F. A short discussion on the connection between quarkonia, NRQCD and exotic hadrons (tetra- and penta-quarks) has been added (see lines 239-241), together with eight more references [143-150].

G. A dictionary with acronyms has been added at the beginning of the manuscript, right after a new table of contents.

H. Added new Refs. [123,354,489,490,509-512].

Reviewer 2 Report

Summary:

This article discusses theoretical models currently available for quarkonia production and reviews the successes and challenges of each model.  The authors then discuss a new approach to vector quarkonia models that uses hybrid factorization for differential cross sections that could prove beneficial for studies at high transverse momentum and far forward rapidities.

 

General comments:  This is a well written paper with a very informative introduction to the topics discussed.   

 

Detailed Comments:

 

line 11

previously observed in observables sensitive to  -> previously seen in observables sensitive to 

 

line 22

since might —> since they might

 

line 24

peerless chance —> might suggest different wording… I’m not very familiar with this phrase

 

line 27

understand —> in understanding

 

line 28

contains —> contain

 

line 31

photon was announced was discovered.  —> photon was announced.

 

line 43

mechanism was proposed —> mechanism proposed

 

line 44

the charm one —> the charm flavor (?)

 

line 49

lowers —> weakens 

 

line 54

it was named —> was named

 

line 56

charm ones —> charm quarks

 

line 58

fairly identified —> fairly easily identified (?)

 

line 62 - line 64

seems like a lot of commas

 

line 67

like the J/psi and chi_c ones —> like the J/psi and chi_c states

 

line 74

lightly —> slightly

 

line 81 

To overcome issues of CSM —> To overcome these divergence issues associated with the CSM

 

line 82

cure —> solve

 

line 84

More in general —> More generally, 

 

line 101

can be still emitted as decay —> can still be emitted as the decay

 

line 103

called direct fraction —> called the direct fraction

 

line 109

relative transverse seperation —> relative transverse momentum seperation

 

line 120

must encoded in collinear fragmentation functions —> must encode collinear fragmentation functions

 

line 125

short distance one —> suggest to be more specific about what “one” means here

 

line 126

it is magnified —> suggest to be more specific about what “it” means here

it becomes dominant -> same comment

 

line 150

came recently out as —> recently became a 

 

line 193

from more details —> for more details

 

line 155

the ones —> those

 

line 159

peerless opportunity —> might suggest different wording… I’m not very familiar with this phrase

 

line 171

turn out —> turns out

 

line 225

the long-distance dynamics from the short-distance one —> the long-distance from the short-distance dynamics.

 

line 226

This allows —> This decoupling allows 

 

line 236

entered Regge limit —> entered the Regge limit

 

line 239

perturbative calculation —> perturbative calculations

 

line 240

by resummed —> by resumming

 

line 248

Using the BFKL jargon, they —> suggest to make more clear what ‘they’ means here

 

lines 248-250

This sentence is a little confusing.  Please consider revising.

 

line 260

are the ones for —> suggest to be more specific about what “ones” means 

 

line 282

at leading twist —> maybe briefly state what this means

 

line 287

factorization scales —> factorization scale

 

line 296

the found optimal ... than the natural ones —> the optimal .. than the natural scales.

 

line 305

come out —> emerges (?)

 

line 306

then on —> also from 

 

line 341

We will compare our NLL predictions with LL ones —> We will compare our NLL predictions with current LL predictions

 

line 362

corresponding ones obtained —> corresponding patterns obtained

 

line 424

The first ones —> suggest to be more specific about what “ones” means 

 

line 426

The second ones —> same 

 

line 429

since charm ones are generated —> same

 

line 451

Thus, Hb sensitive distribution are even more stable than Λc ones —> Thus, Hb sensitive distributions are even more stable than Λc distributions

 

line 624

highlight of deltaY-distributions --> highlight deltaY-distributions

 

line 625

the one —> that

 

line 626

but still favorable for quarkonium plus jet channel, but still favorable —> but still favorable for the quarkonium plus jet channel

 

line 648

larger than MS ones —> larger than MS predictions

 

line 629

with the corresponding ones taken —> with the corresponding predictions taken

 

line 630

inside corresponding LL/LO ones —> suggest to be more specific about what “ones” means

 

line 662

as useful tool —> as a useful tool

 

line 668

We came out with the important message —> Our key finding is 

 

line 672 and line 685

the ones reachable —> suggest to be more specific about what “ones” means

 

line 684

Futures investigations —> Future investigations 

 

line 701

An other —> Another

 

References:

I don’t recall seeing more than 400 references before.  This is quite a lot.   There may be additional editing needed for the references.  If so, you may consider reducing the references to a number that is more manageable.

 

 

Minor corrections needed in an otherwise very well written article.

Author Response

I thank the Referee for her/his careful reading and for her/his valuable comments.

I list here answers to points raised.
 
For the sake of readability, the corresponding changes and/or additions in the revised version of the manuscript have been marked up in blue color by making use of the “Changes” package in LaTeX.

Furthermore, following the recommendations of the Editorial Office, minor style changes in text writing have been made to reduce the overlap with other published articles, in particular [Eur. Phys. J. C 82 (2022) 10, 929]. They are highlighted in red color by making use of the user-defined “\revision” command.


Answers to Referee's points:

1. Many thanks for the series of suggestions on grammar and style. Text has been improved by following those recommendations.

2. Concerning the number of references, I would like to motivate why it has increased since the first version. On the one side, I agree with the Referee that their number is large. At the same time, I believe that it is still reasonable for a review article. Vice versa, it would have been too much for a regular research article. Considering that a preprint version of the manuscript already exists (arXiv:2305.14295) and that (I believe) all the references are connected and relevant for the topic, I would prefer not to remove any of them. Then, following the recommendations of the other Referees and suggestions received privately from other colleagues, some new citations have been added.


Further remarks:

A. The affiliation has been slightly updated.

B. Some references were automatically updated via BibTeX.

C. A brief introduction of general QCD features, together with an incomplete list of QCD portals beyond SM has been added in two new paragraphs of the Introduction (lines 76-92). Correspondingly, new Refs. [1-18] have been added.

D. A short discussion on top quarkonia has been added (Introduction, lines 126-138), together with new Refs. [27-44].

E. A short sentence explaining what "quarkonium production puzzle" means has been added in the Introduction (see lines 141-143).

F. A short discussion on the connection between quarkonia, NRQCD and exotic hadrons (tetra- and penta-quarks) has been added (see lines 239-241), together with eight more references [143-150].

G. A dictionary with acronyms has been added at the beginning of the manuscript, right after a new table of contents.

H. Added new Refs. [123,354,489,490,509-512].

Reviewer 3 Report

The paper is a comprehensive, highly specialized review on heavy vector meson (quarkonia) production at LHC energies. As such it collects and extends the state-of-the-art of this special branch of "applied QCD".

 

 

A dictionary of the many acronyms would be for the reader's benefit.

 

The brief history of the field in Introduction could be supplemented by a few remarks on top quarkonia.

 

The Abstract ends by "quarkonium production puzzle". In a first reading I missed a discussion of that issue in the text.

 

The abstract also advertises "precision studies of high-energy QCD", but I miss a discussion of features of QCD (naively: number of colors and quark families [in adjoint or fundamental representations], portals beyond SM - beginning with axions and higher-dimension terms in the lagrangian or Dark Gluons etc.) which can be tested.

 

line 556: a reader cannot see the mentioned delta functions.

 

Often, a sentence is interrupted by a ":" at the begin of some lists.

 

line 44: I miss a "which".

 

The quantity Lambda_QCD is called "QCD scale", not only "hadronisation scale".

 

Author Response

I thank the Referee for her/his careful reading and for her/his valuable comments.

I list here answers to points raised.
 
For the sake of readability, the corresponding changes and/or additions in the revised version of the manuscript have been marked up in blue color by making use of the “Changes” package in LaTeX.

Furthermore, following the recommendations of the Editorial Office, minor style changes in text writing have been made to reduce the overlap with other published articles, in particular [Eur. Phys. J. C 82 (2022) 10, 929]. They are highlighted in red color by making use of the user-defined “\revision” command.


Answers to Referee's points:

1. A dictionary with acronyms has been added at the beginning of the manuscript, right after a new table of contents.

2. A short discussion on top quarkonia has been added (Introduction, lines 126-138), together with new Refs. [27-44].

3. A short sentence explaining what "quarkonium production puzzle" means has been added in the Introduction (see lines 141-143).

4. A brief introduction of general QCD features, together with an incomplete list of QCD portals beyond SM has been added in two new paragraphs of the Introduction (lines 76-92). Correspondingly, new Refs. [1-18] have been added.

5. The sentence on line 556 of the previous version (new line 648) of the manuscript has been improved.

6. Some ":" in the text have been removed.

7. A "which" has been inserted in the sentence on line 44 of the previous version (new line 111).

8. In Section 2.1 \Lambda_{\rm QCD} now reads as "the QCD scale".


Further remarks:

A. The affiliation has been slightly updated.

B. Some references were automatically updated via BibTeX.

C. A short discussion on the connection between quarkonia, NRQCD and exotic hadrons (tetra- and penta-quarks) has been added (see lines 239-241), together with eight more references [143-150].

D. Added new Refs. [123,354,489,490,509-512].

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