powerpoint presentationpert. 7 the cross section for quarkonium production in cem is. 8 using qcd...
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![Page 1: PowerPoint Presentationpert. 7 The cross section for Quarkonium production in CEM is. 8 Using QCD factorization theorem TMDs Parameterization TMDs exhibit Gaussian distribution Evolution](https://reader034.vdocuments.us/reader034/viewer/2022042210/5eaee5cd2af85025b74fed98/html5/thumbnails/1.jpg)
Sangem Rajesh
HUGS-2016
IIT Bombay
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Outline
Gluon TMDs
Quarkonium Models
2
Conclusion
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Transverse Momentum Dependent (TMD) Distributions
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1D
Collinear pdf
Universality
3D
TMD pdf
Non-trivial Universality
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Gluon Correlator
Parameterization of gluon correlator at “Leading Twist ” is
GluonsTarget
Unpolarized Circularly Linearly
Unpolarized
Longitudinal
Transverse
4
P. J. Mulders and J. Rodrigues PRD 63 094021(2001)
D. Boer et al.arXive1507.05267
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No experimental investigation has been carried out to extract the until now .
Theoretical upper bound of is only known. D. Boer et al. PRL 106 132001 (2011)
In proton-proton collision
Dunnen, Lansberg, Pisano, Schlegel, PRL 112, 212001 (2014)
Qiu, Schlegel, Vogelsang, PRL 107, 062001 (2011)
D. Boer et al. PRL 108, 032002 (2012)
D. Boer, C. Pisano, PRD 86, 094007 (2012)
In electron-proton scattering
C. Pisano et al. JHEP 10 (2013) 024
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Quarkonium Models
Color Singlet Model (CSM)
Color Octet Model (COM)
Color Evaporation Model (CEM)
XPDF
P
P
X
X
Nonpert
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The cross section for Quarkonium production in CEM is
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8
Using QCD factorization theorem
TMDs Parameterization
TMDs exhibit Gaussian distribution
Evolution in collinear PDFs No Evolution in
DGLAP Evolution
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Model independent theoretical upper bound
Assuming linearly polarized gluons also exhibit Gaussian form
D. Boer, C. Pisano, PRD 86, 094007 (2012)
D. Boer et al. PRL 106 132001 (2011)
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Differential Cross Section in DGLAP approach
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Spectrum in DGLAP Evolution
SR Asmita PRD 93 054018 (2016)
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Rapidity Spectrum in DGLAP Evolution
SR Asmita PRD 93 054018 (2016)
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Resummation of Sudakov logarithms
The region of low is strongly influenced by initial state gluon radiation showers
These additional gluon radiation from initial state partons leads to logarithmic corrections for each gluon radiation of the form
Collins Soper Sterman (CSS) resummation formalism has been used to resum the large logarithmic terms to all order in
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TMD Evolution
CSS TMD Evolution
J. Collins, Foundations of Perturbative QCD, 2011
D. Boer, W. J. den Dunnen, Nucl. Phys. B 886 (2014) 421
, ,
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Differential Cross Section in TMD Evolution approach
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Spectrum in TMD Evolution
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Results in TMD Evolution
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Conclusion
The and distributions of quarkonium can been modulated by the presence of linearly polarized gluons in unpolarized proton proton collision.
Hence, the production of quarkonium is a promising process to probe not only the but also unpolarized TMD pdf
It would be interesting to include the linearly polarized gluon contribution in the cross section to fit the experimental data to the extent of reasonable accuracy.
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Thank you
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Backup Rapidity Spectrum in DGLAP Evolution
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Backup Rapidity Spectrum in TMD Evolution
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Backup DGLAP and TMD Comparison