Precision RENORM Tensor-Pomeron Cross Sections at LHC and Beyond
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1 Precision RENORM Tensor-Pomeron Cross Sections at LHC and Beyond Konstantin Goulianos The Rockefeller University 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 Some previous papers/talks 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, Moriond QCD 2016, La Thuile, Italy, March 19-26, NPQCD16, Paris, June, Special thanks to Robert Ciesielski, my collaborator in the PYTHIA8-MBR project 2
3 Basic and combined diffractive RENORM: Basic and Combined Diffractive Processes processes particles gap rapidity distributions DD SD SD DD 4-gap diffractive processes-snowmass 2001 Cross sections analytically expressed in arxiv:: 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? 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 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 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 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 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 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 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 s IP/p ε /2 o (sξ) g PPP ( 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 11
12 DD at CDF Regge factorization gap probability x-section Regge Regge RENORM x-section divided by integrated gap prob. 12
13 SDD at CDF Excellent agreement between data and MBR (MinBiasRockefeller) MC 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 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 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 16
17 The total x-section 2009 CERN 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 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 18
19 Predictions vs Measurements with /reduced Uncertainty in s o From my Moriond-2016 Talk 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± ± ± TeV MBR 103.7± ± ±1.3 ATLAS 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 Stay tuned! Totem 7 TeV Totem-Lum-Ind 7 TeV Atlas 7 TeV: Totem 8 TeV Atlas13 TeV Aspen 2016 Doug Schafer Atlas/Totem 13TeV DIS
20 Predictions vs Measurements w /reduced Uncertainty in s o #1 Slide from my ICNFP-2016 Talk s MBR/Exp Reference next slide NEW! (at ICNFP 2016) s tot s el S inel 7 TeV MBR 95.4± ± ±1.0 ATLAS ± ± ±0.90 TOTEM ± ± ±1.7 TOTEM_Lum_Ind ± ± ±1.5 8 TeV MBR 97.1± ± ±1.0 TOTEM ± ± ± TeV MBR 103.7± ± ±1.3 ATLAS 5 & ±0.9 (exp) ±6.6 (lumi) ±3.8 (extr) CMS ±0.5 (exp) ±2.1 (lumi) ±2.7 (extr) CONT 20
21 Predictions vs Measurements w /reduced Uncertainty in s o #2 Caveat (slide from my ICNFP-2016 talk) The MBR σ el is larger than the ATLAS and the TOTEM_lum_Ind measurements by ~2 mb at s=7 TeV, which might imply a higher MBR prediction at s=13 TeV by 2-3 mb. Lowering the MBR σ el prediction would lead to a larger σ inel.this interplay between σ el and σ inel should be kept in mind as more results of σ el and σ tot at s = 13 TeV become available. 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 Stay tuned! 1) Atlas 7 TeV: 2) Totem 7 TeV 3) Totem-Lum-Ind 7 TeV 4) Totem 8 TeV 5) Atlas13 TeV Aspen 2016 D. Schafer 6) Atlas 13TeV DIS-2016 M. Trzebinski ttps://indico.desy.de/contributiondisplay.py?contribid=330&confid= ) CMS 13TeV DIS-2016 H. Van Haevermaet 21
22 MBR vs. ICHEP 2016 cross-section results s MBR/Exp Ref. # slide 19 s tot s el S inel 7 TeV MBR 95.4± ± ±1.0 ATLAS ± ± ±0.90 TOTEM ± ± ±1.7 TOTEM_Lum_Ind ± ± ±1.5 8TeV MBR 97.1± ± ±1.0 ATLAS vs. MBR in excellent agreement at 8 TeV TOTEM ATLAS-ALFA fit 4 ICHEP ± ± ± ± ± TeV MBR 103.7± ± ±1.3 ATLAS ALFA-fit-result 5 & 6 ICHEP ±0.9 (exp) ±6.6 (lumi) ±3.8 (extr) 79.3±0.6(exp) ±1.3(lumi) ±2.5(extr) CMS 7+ICHEP ±0.5 (exp) ±2.1 (lumi) ±2.7 (extr) Tomáš Sýkora, ICHEP16 x-sections summary talk At 13 TeV MBR is happy between the ATLAS and CMS ICHEP results awaiting settlement between the two experiments keep tuned! 22
23 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
24 SD and DD x-sections vs Models Single Diffraction Double Diffraction Includes ND background 24
25 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 25
26 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 & tensor-pomeron ICHEP 16 At 8 TeV ATLAS and MBR are in excellent agreement disagreement with TOTEM persists At 13 TeV MBR lies between the ATLAS and CMS results awaiting settlement between the two experiments keep tuned! Thank you for your attention! 26
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