Results for RHIC and LHC in a unified framework for Heavy Flavor and Quarkonium production in high multiplicity p+p and p+A collisions Kazuhiro Watanabe Thomas Jefferson National Accelerator Facility The 27th International Conference on Ultra-relativistic Nucleus-Nucleus Collisions, May 16, 2018, Venice Italy arXiv:1803.11093, with Y.-Q. Ma, P. Tribedy, R. Venugopalan Kazuhiro Watanabe (Jefferson Lab) HF and Onium production in p+p and p+A collisions Quark Matter 2018, May 16, 2018 1 / 18 2 in p+A collisions: More complex than p+p. Supposed to distinguish Cold Nuclear Matter effect from hot matter effect. p We can study extensively HF and Onium production by changing s, y, p?, m, system size & Multiplicity Nch! We consider Event Engineering HF and Quarkonium production in rare high multiplicity events in p+p and p+A collisions in the color glass condensate (CGC) effective theory. Introduction We study HF and Onium production 1 in p+p collisions: Elementary process for understanding HF and Onium production mechanisms. Important reference against p+A and A+A collisions. Kazuhiro Watanabe (Jefferson Lab) HF and Onium production in p+p and p+A collisions Quark Matter 2018, May 16, 2018 2 / 18 p We can study extensively HF and Onium production by changing s, y, p?, m, system size & Multiplicity Nch! We consider Event Engineering HF and Quarkonium production in rare high multiplicity events in p+p and p+A collisions in the color glass condensate (CGC) effective theory. Introduction We study HF and Onium production 1 in p+p collisions: Elementary process for understanding HF and Onium production mechanisms. Important reference against p+A and A+A collisions. 2 in p+A collisions: More complex than p+p. Supposed to distinguish Cold Nuclear Matter effect from hot matter effect. Kazuhiro Watanabe (Jefferson Lab) HF and Onium production in p+p and p+A collisions Quark Matter 2018, May 16, 2018 2 / 18 & Multiplicity Nch! We consider Event Engineering HF and Quarkonium production in rare high multiplicity events in p+p and p+A collisions in the color glass condensate (CGC) effective theory. Introduction We study HF and Onium production 1 in p+p collisions: Elementary process for understanding HF and Onium production mechanisms. Important reference against p+A and A+A collisions. 2 in p+A collisions: More complex than p+p. Supposed to distinguish Cold Nuclear Matter effect from hot matter effect. p We can study extensively HF and Onium production by changing s, y, p?, m, system size Kazuhiro Watanabe (Jefferson Lab) HF and Onium production in p+p and p+A collisions Quark Matter 2018, May 16, 2018 2 / 18 We consider Event Engineering HF and Quarkonium production in rare high multiplicity events in p+p and p+A collisions in the color glass condensate (CGC) effective theory. Introduction We study HF and Onium production 1 in p+p collisions: Elementary process for understanding HF and Onium production mechanisms. Important reference against p+A and A+A collisions. 2 in p+A collisions: More complex than p+p. Supposed to distinguish Cold Nuclear Matter effect from hot matter effect. p We can study extensively HF and Onium production by changing s, y, p?, m, system size & Multiplicity Nch! Kazuhiro Watanabe (Jefferson Lab) HF and Onium production in p+p and p+A collisions Quark Matter 2018, May 16, 2018 2 / 18 Introduction We study HF and Onium production 1 in p+p collisions: Elementary process for understanding HF and Onium production mechanisms. Important reference against p+A and A+A collisions. 2 in p+A collisions: More complex than p+p. Supposed to distinguish Cold Nuclear Matter effect from hot matter effect. p We can study extensively HF and Onium production by changing s, y, p?, m, system size & Multiplicity Nch! We consider Event Engineering HF and Quarkonium production in rare high multiplicity events in p+p and p+A collisions in the color glass condensate (CGC) effective theory. Kazuhiro Watanabe (Jefferson Lab) HF and Onium production in p+p and p+A collisions Quark Matter 2018, May 16, 2018 2 / 18 Gluon saturation/CGC is a natural way to explain this 20 2 2 Qs;0 = Q0 2 2 phenomenon. cf. [Dumitru, Dusling, Gelis, Jalilian-Marian, Lappi and Qs;0 = 5Q0 2 2 15 Qs;0 = 10Q0 Venugopalan, PLB697, 21 (2011)][Dusling and Venugopalan, PRL108, 262001 (2012), PRD87, 051502, 054014, 094034 (2013)] 10 ) [arbitrary unit] ? Classical gluon fields have A ∼ 1=g: k ( =0 Y 5 ' 2 ? dN f (k?=Q ) dN S?Q k ch ∼ hAAi ∼ s ) ch ∼ s 2 2 0 d b?d k?dy αs dy αs 0 1 2 3 4 5 k? [GeV] Rare parton configurations $ Large fluctuation in Qs (x). High Multiplicity events and Gluon Saturation Discovery of ridge like structure: The starting point. p+p vs p+A vs A+A: Initial state (fluctuation) or Final state (hydro) origins? Kazuhiro Watanabe (Jefferson Lab) HF and Onium production in p+p and p+A collisions Quark Matter 2018, May 16, 2018 3 / 18 20 2 2 Qs;0 = Q0 2 2 Qs;0 = 5Q0 2 2 15 Qs;0 = 10Q0 10 ) [arbitrary unit] ? Classical gluon fields have A ∼ 1=g: k ( =0 Y 5 ' 2 ? dN f (k?=Q ) dN S?Q k ch ∼ hAAi ∼ s ) ch ∼ s 2 2 0 d b?d k?dy αs dy αs 0 1 2 3 4 5 k? [GeV] Rare parton configurations $ Large fluctuation in Qs (x). High Multiplicity events and Gluon Saturation Discovery of ridge like structure: The starting point. p+p vs p+A vs A+A: Initial state (fluctuation) or Final state (hydro) origins? Gluon saturation/CGC is a natural way to explain this phenomenon. cf. [Dumitru, Dusling, Gelis, Jalilian-Marian, Lappi and Venugopalan, PLB697, 21 (2011)][Dusling and Venugopalan, PRL108, 262001 (2012), PRD87, 051502, 054014, 094034 (2013)] Kazuhiro Watanabe (Jefferson Lab) HF and Onium production in p+p and p+A collisions Quark Matter 2018, May 16, 2018 3 / 18 20 2 2 Qs;0 = Q0 2 2 Qs;0 = 5Q0 2 2 15 Qs;0 = 10Q0 10 ) [arbitrary unit] ? k ( =0 Y 5 ' ? k 0 0 1 2 3 4 5 k? [GeV] High Multiplicity events and Gluon Saturation Discovery of ridge like structure: The starting point. p+p vs p+A vs A+A: Initial state (fluctuation) or Final state (hydro) origins? Gluon saturation/CGC is a natural way to explain this phenomenon. cf. [Dumitru, Dusling, Gelis, Jalilian-Marian, Lappi and Venugopalan, PLB697, 21 (2011)][Dusling and Venugopalan, PRL108, 262001 (2012), PRD87, 051502, 054014, 094034 (2013)] Classical gluon fields have A ∼ 1=g: 2 dN f (k?=Q ) dN S?Q ch ∼ hAAi ∼ s ) ch ∼ s d2b?d2k?dy αs dy αs Rare parton configurations $ Large fluctuation in Qs (x). Kazuhiro Watanabe (Jefferson Lab) HF and Onium production in p+p and p+A collisions Quark Matter 2018, May 16, 2018 3 / 18 We use running coupling-BK equation. [Balitsky, PRD75, 014001 (2007)] ! Saturation scale is embedded in initial condition: MV model. [McLerran and Venugopalan, PRD49, 2233 (1994), 3352 (1994)] 2 2 2 MB in p+p: Qsp;0 = Q0 = 0:168 GeV at x = 0:01 from DIS global data fitting for total cross section at HERA. [Albacete, Armesto, Milhano, Quiroga-Arias and Salgado, EPJC71, 1705 (2011)] 2 1=3 ∼ 2 MB in p+A: Qs A;0 . 0:5A Qs p;0 2Q0 by fitting the New Muon Collaboration data on F2; A. [Dusling, Gelis, Lappi and Venugopalan, NPA836, 159 (2010)] Methodology:Heavy quark pair production in the CGC framework Large-x d.o.f: ρp, ρA ! J. Small-x d.o.f: Classical fields satisfy CYM equation, µ [D ; Fµν ] = Jν . Heavy quark pair is produced coherently as a whole in the background fields. Multiple scattering of quark/gluon in background 2 x⊥ fields is represented by Wilson lines. v⊥ + y⊥ · · · · · · BK-JIMWLK equation takes Energy/Rapidity dependence of a pair production cross section. [Blaizot, Gelis and Venugopalan, NPA743, 57 (2004)][Kovchegov and Tuchin, PRD74, 054014 (2006)][Fujii, Gelis and Venugopalan, NPA780, 146 (2006)] Kazuhiro Watanabe (Jefferson Lab) HF and Onium production in p+p and p+A collisions Quark Matter 2018, May 16, 2018 4 / 18 Methodology:Heavy quark pair production in the CGC framework Large-x d.o.f: ρp, ρA ! J. Small-x d.o.f: Classical fields satisfy CYM equation, µ [D ; Fµν ] = Jν . Heavy quark pair is produced coherently as a whole in the background fields. Multiple scattering of quark/gluon in background 2 x⊥ fields is represented by Wilson lines. v⊥ + y⊥ · · · · · · BK-JIMWLK equation takes Energy/Rapidity dependence of a pair production cross section. [Blaizot, Gelis and Venugopalan, NPA743, 57 (2004)][Kovchegov and Tuchin, PRD74, 054014 (2006)][Fujii, Gelis and Venugopalan, NPA780, 146 (2006)] We use running coupling-BK equation. [Balitsky, PRD75, 014001 (2007)] ! Saturation scale is embedded in initial condition: MV model. [McLerran and Venugopalan, PRD49, 2233 (1994), 3352 (1994)] 2 2 2 MB in p+p: Qsp;0 = Q0 = 0:168 GeV at x = 0:01 from DIS global data fitting for total cross section at HERA. [Albacete, Armesto, Milhano, Quiroga-Arias and Salgado, EPJC71, 1705 (2011)] 2 1=3 ∼ 2 MB in p+A: Qs A;0 . 0:5A Qs p;0 2Q0 by fitting the New Muon Collaboration data on F2; A. [Dusling, Gelis, Lappi and Venugopalan, NPA836, 159 (2010)] Kazuhiro Watanabe (Jefferson Lab) HF and Onium production in p+p and p+A collisions Quark Matter 2018, May 16, 2018 4 / 18 Open Heavy Flavor production xsection: Z 1 Z Z dσ D ! (z) dσ D = dz c D dy cc¯ 2 2 c¯ 2 2 d pD?dy zmin z qc¯? d pc?d qc¯?dydyc¯ Several functional forms for Dc!D (z) have been proposed: Peterson, Kartvilishvili, Braaten-Cheung-Fleming-Yuan, ..