Yan-Qing Ma ( 马滟青 ) Peking University The Second Sino-Americas Workshop and School on the Bound-State Problem in Continuum QCD, Central China Normal University,

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Presentation transcript:

Yan-Qing Ma ( 马滟青 ) Peking University The Second Sino-Americas Workshop and School on the Bound-State Problem in Continuum QCD, Central China Normal University, Wuhan, Nov. 16 th, 2015

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Hadronization  Observed by detector:  Why hadronization? How hadronization? Study hadron production!  Produced at initial: Partons (guess) Hadrons  Hadronization in QCD

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Heavy quarkonium The simplest system: two body problem “Hydrogen atom in QCD”, “an ideal laboratory in QCD”  Production: best way to study hadronization

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Property  Multiple well-separated scales : Quark mass: M Momentum:Mv Energy:Mv 2  Involving both perturbative and nonperturbative physics

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Factorization and hadronization models  Short-distance and long distance parts  Approximation: on-shell pair + hadronization

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Historical review of quarkonium production Einhorn, Ellis (1975), Chang (1980), Berger, Jone (1981), … Fritzsch (1977), Halzen (1977), … Bodwin, Braaten, Lepage, , … Kang, Qiu, Sterman, Fleming, Leibovich, Mehen, Rothstein Kang, YQM, Qiu, Sterman, , … Kang, YQM, Venugopalan, Qiu, Sun, Xiao, Yuan, , … Bodwin, Braaten, Lee,

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Outline I. Success and failure of NRQCD framework

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 NRQCD Factorization  Factorization formula Bodwin, Braaten, Lepage, Hadronization (LDMEs) Long distance (~1/(m c v)) input. Parton distribution function Long distance (~1/ Λ QCD ) Production of heavy quark pair Short distance (~1/m c ) perturbative calculable.

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 YQM, Wang, Chao,

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 ATLAS,  Comparison with new data Perfect agreement!

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34  LO NRQCD: polarization puzzle CDF,

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34  NRQCD: Butenschöen, Kniehl, Chao,YQM,Shao,Wang,Zhang, Gong,Wan,Wang,Zhang, Results depend on the extracted CO LDMEs

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Problems with NLO NRQCD Perturbation convergent? Need how many orders? See Yu Jia’s talk for NNLO calculation

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 NRQCD: summary  Most puzzles can be understood qualitatively at NLO  No all order proof of NRQCD factorization Other methods are needed for these extreme regions Factorization correct at least up to NNLO Nayak, Qiu, Sterman,

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Outline I. Success and failure of NRQCD framework

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34  Leading power: collinear factorization, single parton fragmentation Collins, Soper (1982) Braaten, Yuan, Nayak, Qiu, Sterman,  NLP: important for heavy quarkonium produciton Kang, Qiu, Sterman, Kang, YQM, Qiu, Sterman, Kang, YQM, Qiu, Sterman,  A rigorous collinear factorization method up to NLP

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 2 Collinear factorization approach  Ideas:  Factorization correct to all order Qiu, Sterman (1991) Kang, YQM, Qiu, Sterman,

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Factorization  Factorization formalism:

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Evolution Kang, YQM, Qiu, Sterman,  Evolution equations at NLP:  Independence of the factorization scale:

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Predictive power  Calculation of short-distance hard parts in pQCD:  Calculation of evolution kernels in pQCD: Kang, YQM, Qiu, Sterman, Kang, YQM, Qiu, Sterman,

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Input fragmentation function YQM, Zhang, Qiu, YQM, Zhang, Qiu, YQM, Zhang, Qiu, NLO is now available for all channels Complicated: different quarkonium states require different input distributions! Apply NRQCD to the input distributions at initial scale

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Reproducing plain NRQCD YQM, Qiu, Sterman, Zhang,  LO LP+NLP comparing with NLO NRQCD  LO analytical results reproduce NLO NRQCD calculations (numerical) !

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34  The collinear factorization framework is ready to use, potentially better convergence  Calculating hard parts to NLO Before resummation, potentially can reproduce NNLO NRQCD  Global analysis, based on collinear factorization formalism including NLP and evolution A lot of works to be done!  Solving the double parton evolution equations

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Outline I. Success and failure of NRQCD framework

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Berger, Qiu, Wang, Sun, Yuan, Yuan,  Sudakov double logarithm Feng, Lansberg, Wang,  Small-x effect can be important

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 CGC effective field theory  Color Glass Condensate McLerran, Venugopalan,

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 CGC+CEM Fujii, Gelis, Venugopalan, Fujii, Watanabe, Ducloue, Lappi, Mantysaari, Watanabe, Xiao,  But  CEM: A simply and intuitive model

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 CGC+NRQCD Kang, YQM, Venugopalan, Qiu, Sun, Xiao, Yuan,  NRQCD factorization:  Via many channels, both CS and CO

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Dilute-dense formula at LO  Short distance for CO channels in CGC  Short distance for CS channels in CGC Kang, YQM, Venugopalan,  Scope of application:  High energy p+A or p+p collision  Quarkonium produced in forward rapidity region

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 YQM, Venugopalan,  RHIC data at central rapidity: agreement is not very good  As expected: CGC+NRQCD good for high energy and forward rapidity

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 YQM, Venugopalan, Zhang,

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34  Apply for other quarkonium states is possible  NLO calculation in CGC+NRQCD framework is important and urgent!! Plenty of data at LHC  NRQCD+CGC: the most rigorous method Sudakov resummation in CEM+CGC : How to resum in NRQCD+CGC? Watanabe, Xiao, Thank you!

Back up

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Bodwin, Chung, Kim, Lee, Faccioli,Knunz,Lourenco,Seixas,Wohri, agreed by new studies

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 CGC+CEM Fujii, Gelis, Venugopalan, Fujii, Watanabe, Ducloue, Lappi, Mantysaari, Watanabe, Xiao,  CEM:

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 CGC+CEM: p+p Fujii, Watanabe, Bad agreement:

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 CGC+CEM: p+A Fujii, Watanabe, Bad agreement:

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 ALICE, Fujii, Watanabe,  RHIC:  LHC:  Disagree with data  Rule out the CGC method???

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 CGC+CEM: improved (1) Ducloue, Lappi, Mantysaari,  Using the collinear “hybrid” frame work  Introduce impact-parameter-dependent initial condition  Marginally describe data

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 CGC+CEM: improved (2) Watanabe, Xiao,

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Comparison with other methods  Quasi-classical approximation  Our CS channel reproduce the work: Dominguez, Kharzeev, Levin, Mueller, Tuchin,  Only dipoles are involved in CEM calculation. No quadrupole. Kang, YQM, Venugopalan,

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Parameters for p+p YQM, Venugopalan,  An approximation for quadrupole  Self-consistent: exact when any two adjacent positions coincide  Checked: a good approximation to the quadrupole  Dipole distributions: Albacete, Dumitru, Fujii, Nara,  NRQCD CO matrix elements Chao,YQM,Shao,Wang,Zhang,

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34  Good agreement with data Worst agreement with RHIC data at central rapidity

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34  Good agreement with data Worst agreement with RHIC data at central rapidity

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34 Parameters for p+A YQM, Venugopalan, Zhang, Dusling, Gelis, Lappi, Venugopalan,

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34  Good agreement with data Worst agreement with RHIC data at central rapidity

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34  Many uncertainties can be cancelled in the ratio

Yan-Qing Ma, Peking University CCNU, Nov. 16 th, /34  Agreement with data