RENORM Tensor-Pomeron Diffractive Predictions. Konstantin Goulianos

Transcription

1 RENORM Tensor-Pomeron Diffractive Predictions Konstantin Goulianos The Rockefeller University (Dino) thanks to Tran & Kim! photo credit: Emmanuelle Tran Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 1

2 Basic and combined diffractive CONTENTS processes Diffraction SD1 p 1 p 2 p 1 +gap+x 2 Single Diffraction / Dissociation 1 SD2 p 1 p 2 X 1 +gap+p 2 Single Diffraction / Dissociation - 2 DD p 1 p 2 X 1 +gap+x 2 Double Diffraction / Double Dissociation CD/DPE p 1 p 2 gap+x+gap Central Diffraction / Double Pomeron Exchange Renormalization Unitarization RENORM Model Triple-Pomeron Coupling: unambiguously determined Total Cross Section: Unique prediction based on saturation and a tensor-pomeron model References MBR MC Simulation in PYTHIA8, KG & R. Ciesielski, LHCFPWG 2015 Madrid (21-25 Apr 2015) EDS BLOIS 2015 Borgo, Corsica, France Jun 29-Jul 4, KG, Updated RENORM/MBR-model Predictions for Diffraction at the LHC, Special thanks to Robert Ciesielski, my collaborator in the PYTHIA8-MBR project Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 2

3 Basic and combined diffractive RENORM: Basic and Combined Diffractive Processes processes particles gap rapidity distributions DD SD SD DD 4-gap diffractive process-snowmass 2001 Cross sections analytically expressed in arxiv below: Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 3

4 Regge Theory: Values of s o & g PPP? KG-PLB 358, 379 (1995) α(t)=α(0)+α t α(0)=1+ε Parameters: s 0, s 0 ' and g(t) set s 0 ' = s 0 (universal Pomeron) determine s 0 and g PPP how? Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 4

5 RENORM predictions for diffraction at LHC confirmed Theoretical A complicatiion Complication: Unitarity! σ sd grows faster than σ t as s increases * unitarity violation at high s (also true for partial x-sections in impact parameter space) the unitarity limit is already reached at s ~ 2 TeV need unitarization * similarly for (dσ el /dt) t=0 w.r.t. σ t, but this is handled differently in RENORM Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 5

6 FACTORIZATION BREAKING IN SOFT DIFFRACTION Diffractive x-section suppressed relative to Regge prediction as s increases p p ξ,t p M Factor of ~8 (~5) suppression at s = 1800 (540) GeV RENORMALIZATION s=22 GeV 540 GeV C D F KG, PLB 358, 379 (1995) 1800 GeV Interpret flux as gap formation probability that saturates when it reaches unity Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 6

7 Single Diffraction Renormalized - 1 KG CORFU-2001: t y y 2 independent variables: d dt t, y 2 σ 2 2 = C Fp ( t) d y gap probability color factor g ( ) = IP IP IP t κ β (0) IP p p { ( ε + α t ) y} { ε y e κ σ e } o sub-energy x-section 0.17 Gap probability (re)normalize it to unity Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 7

8 Single Diffraction Renormalized - 2 color factor κ = g IP IP IP( t) β (0) IP p p 0.17 Experimentally κ = g IP IP IP β IP p KG&JM, PRD 59 (114017) = 0.17 ± 0.02, ε = Q QCD: κ = f f = g = q N 1 N 8 3 c c Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 8

9 Single Diffraction Renormalized - 3 affects only the s-dependence σ sd s ~ b ln s ln s const set N(s,s o ) to unity determines s o Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 9

10 M 2 - Distribution: Data M2 distribution: data dσ/dm 2 t=-0.05 ~ independent of s over 6 orders of magnitude! KG&JM, PRD 59 (1999) dσ dm Regge data 2 s 2ε 2 1+ ε (M ) 1 ε factorization breaks down to ensure M 2 -scaling Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 10

11 Scale s 0 and PPP Coupling Pomeron flux: interpreted as gap probability set to unity: determines g PPP and s 0 KG, PLB 358 (1995) d σ dtdξ SD = ε s o Pomeron-proton x-section f IP/p (t,ξ) σ ( t) Two free parameters: s o and g PPP Obtain product g PPP s o ε / 2 from σ SD Renormalize Pomeron flux: determines s o Get unique solution for g PPP s IP/p ε /2 o (sξ) g PPP Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 11

12 DD at CDF Regge factorization gap probability x-section Regge Regge RENORM x-section divided by integrated gap prob. Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 12

13 SDD at CDF Excellent agreement between data and MBR (MinBiasRockefeller) MC Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 13

14 CD/DPE at CDF Excellent agreement between data and MBR-based MC Confirmation that both low and high mass x-sections are correctly implemented Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 14

15 RENORM Difractive Cross Sections α 1 =0.9, α 2 =0.1, b 1 =4.6 GeV -2, b 2 =0.6 GeV -2, s =s e - y, κ=0.17, κβ 2 (0)=σ 0, s 0 =1 GeV 2, σ 0 =2.82 mb or 7.25 GeV -2 Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 15

16 Total, Elastic, and Inelastic x-sections CMG PLB 389, 196 (1996) KG MORIOND GeV 2 σ el p±p =σ tot p±p (σ el /σ tot ) p±p, with σ el /σ tot from CMG small extrapolation from 1.8 to 7 and up to 50 TeV Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 16

17 The total x-section 2009 s F =22 GeV (see Fig.) CGM. 98 ± 8 mb at 7 TeV 109 ±12 mb at 14 TeV Uncertainty is due to s o Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 17

18 2015 Reduce Uncertainty in s 0 EDS 2015: Amplitude 2 (arbitrary units) 2.10 GeV ± 0.68 Review of CEP by Albrow, Coughlin, Forshaw Fig from Axial Field Spectrometer at the CERN Intersecting Storage Rings 20% increase in s o x-sections decrease Data: Peter C. Cesil, AFS thesis (courtesy Mike Albrow) analysis: S and D waves Conjecture: tensor glue ball (spin 2) Fit: Gaussian <M tgb >= s 0 =2.10±0.68 GeV s 0 =4.42±0.34 GeV 2 Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 18

19 Predictions vs Measurements with /reduced Uncertainty in s o s MBR/Exp σ tot σ el σ inel 7 TeV MBR 95.4± ± ±1.0 TOTEM totem-lumind 98.3±0.2± ± ±0.2± ± ± ±1.5 ATLAS 95.35± ± ± TeV MBR 97.1± ± ±1.0 TOTEM 101.7± ± ±1.7 RENORM/MBR with a tensor-pomeron model predicts measured cross sections to the 1% level Test of RENORM/MBR: ATLAS results using the ALFA and RP detectors to measure the cross sections 13 TeV MBR 103.7± ± ±1.3 Stay tuned! ATLAS totem 7 TeV: totemlumind 7 TeV atlas 7 TeV: totem 8 TeV: atllas TeV Aspen 2016 Doug Schafer talk:: Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 19

20 Pythia8-MBR Hadronization Tune An example of the diffractive tuning of PYTHIA-8 to the RENORM-NBR model n ave = σ QCD σ IPp PYTHIA8 default σ Pp (s) expected from Regge phenomenology for s 0 =1 GeV 2 and DL t-dependence. Red line:-best fit to multiplicity distributions. (in bins of Mx, fits to higher tails only, default pt spectra) R. Ciesielski, Status of diffractive models, CTEQ Workshop 2013 Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 20

21 SD and DD x-sections vs Models Single Diffraction Double Diffraction Includes ND background Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 21

22 Monte Carlo Algorithm - Nesting Profile of a pp Inelastic Collision no gap final state of MC w /no-gaps gap t y' c ln s = y y > y' min gap gap gap t t t 1 t 2 evolve every cluster similarly y < y' min generate central gap hadronize repeat until y' < y' min Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 22

23 SUMMARY Introduction Review of RENORM predictions of diffractive physics basic processes: SD1,SD2, DD, CD (DPE) combined processes: multigap x-sections ND no diffractive gaps this is the only final state to be tuned Monte Carlo strategy for the LHC nesting Updated RENORM parameters Good agreement with existing measurements Predictions of cross sections at 13 TeV confirmed! Thank you for your attention! Moriond QCD 2016 RENORM Tensor-Pomeron Diffractive Predictions K. Goulianos 23