P e t e r S k a n d s ( C E R N T h e o r e t i c a l P h y s i c s D e p t )
Soft QCD: Theory
B o s t o n J e t s W o r k s h o p M I T, J a n u a r y 2 1 - 2 3 2 0 1 4
Soft QCD: Theory P e t e r S k a n d s ( C E R N T h e o r e t i - - PowerPoint PPT Presentation
Soft QCD: Theory P e t e r S k a n d s ( C E R N T h e o r e t i c a l P h y s i c s D e p t ) B o s t o n J e t s W o r k s h o p M I T, J a n u a r y 2 1 - 2 3 2 0 1 4 Questions Pileup How much? In central & fwd acceptance?
P e t e r S k a n d s ( C E R N T h e o r e t i c a l P h y s i c s D e p t )
B o s t o n J e t s W o r k s h o p M I T, J a n u a r y 2 1 - 2 3 2 0 1 4
Pileup
How much? In central & fwd acceptance? Structure: averages + fluctuations, particle composition, lumpiness, … Scaling to 13 TeV and beyond
Underlying Event ~ “A handful of pileup” ?
Hadronizes with Main Event → “Color reconnections” Additional “minijets” from multiple parton interactions
Hadronization
Models from the 80ies, mainly constrained in 90ies Meanwhile, perturbative models have evolved
Dipole/Antenna showers, ME matching, NLO corrections, … Precision → re-examine non-perturbative models and constraints New clean constraints from LHC (& future colliders)?
Hadronization models ⥂ analytical NP corrections?
Uses and Limits of “Tuning”
2
Factorization and IR safety
Main tools for jet calculations Corrections suppressed by powers
Soft QCD / Pileup
~ ∞ statistics for min-bias
→ Access tails, limits
Universality: Recycling PU ⬌ MB ⬌ UE
3
NO HARD SCALE
Typical Q scales ~ ΛQCD Extremely sensitive to IR effects → Excellent LAB for studying IR effects
C M S “ R i d g e ” T r a c k m u l t i p l i c i t i e s pT spectra I d e n t i fi e d P a r t i c l e s C
r e l a t i
s Rapidity Gaps C
C
r e l a t i
s Collective Effects? C e n t r a l v s F
w a r d Baryon Transport HADRONIZATION
We use Minimum-Bias (MB) data to test soft-QCD models Pileup = “Zero-bias”
“Minimum-Bias” typically suppresses diffraction by requiring two-armed coincidence, and/or ≥ n particle(s) in central region
→ Pileup contains more diffraction than Min-Bias
Total diffractive cross section ~ 1/3 σinel Most diffraction is low-mass → no contribution in central regions High-mass tails could be relevant in FWD region → direct constraints on diffractive components (→ later)
4 Hit Hit
SD MB
Hit
Veto → NSD
7 TeV 8 TeV
ALICE ATL CMS ALICE TOTEM TOTEM TOTEM AUGER AUGER13 TeV
5
PP CROSS SECTIONS TOTEM, PRL 111 (2013) 1, 012001
σinel(13 TeV) ∼ 80 ± 3.5 mb σtot(13 TeV) ∼ 110 ± 6 mb σtot(8 TeV) = 101 ± 2.9 mb
(2.9%)
σel(8 TeV) = 27.1 ± 1.4 mb
(5.1%)
σinel(8 TeV) = 74.7 ± 1.7 mb
(2.3%)
Pileup rate ∝ σtot(s) = σel(s) + σinel(s) ∝ s0.08 or ln2(s) ?
Donnachie-Landshoff Froissart-Martin Bound
total inelastic elastic
PYTHIA: 100 mb PYTHIA: 78 mb
(PYTHIA versions: 6.4.28 & 8.1.80)
PYTHIA: 73 mb PYTHIA: 20 mb PYTHIA: 93 mb
PYTHIA elastic is too low
PYTHIA PYTHIAWhat Cross Section?
Total Inelastic
Fraction with one charged particle in |η|<1 ALICE def : SD has MX<200 Ambiguous Theory Definition Ambiguous Theory Definition Ambiguous Theory Definition Observed fraction corrected to total
σINEL @ 30 TeV: ~ 90 mb σINEL @ 100 TeV: ~ 108 mb σSD: a few mb larger than at 7 TeV σDD ~ just over 10 mb σINEL @ 13 TeV ~ 80 mb
σinel(13 TeV) ∼ 80 ± 3.5 mb
First try: decompose
+ Parametrizations of diffractive components: dM2/M2
6
σinel = σsd + σdd + σcd + σnd
dσsd(AX)(s) dt dM 2 = g3I
P
16π β2
AI P βBI P
1 M 2 exp(Bsd(AX)t) Fsd , dσdd(s) dt dM 2
1 dM 2 2
= g2
3I P
16π βAI
P βBI P
1 M 2
1
1 M 2
2
exp(Bddt) Fdd .
+ Integrate and solve for σnd
log10(√s/GeV)
Note problem of principle: Q.M. requires distinguishable final states
PYTHIA:
May not always reflect “best” TH understanding
Not just a matter of cranking perturbative orders Harder due to requirement of fully differential dynamical modeling (event generators), not just cross section formulae
May not always reflect “best” EXP constraints
Not just a matter of “tuning” (+ tunnel vision: exp comparisons for searches or EW measurements rarely formulated as QCD constraints)
Modeling: identify “new” physics + build and constrain models (beyond perturbative leading-twist)
Few people working on soft QCD models → long cycles
7
8
Regge Theory
E.g., QGSJET, SIBYLL + “Mixed” E.g., PHOJET, EPOS, SHERPA-KMR
See e.g. Reviews by MCnet [arXiv:1101.2599] and KMR [arXiv:1102.2844]
Optical Theorem + Eikonal multi-Pomeron exchanges σtot,inel ∝ log2(s) Cut Pomerons → Flux Tubes (strings) Uncut Pomerons → Elastic (& eikonalization) Cuts unify treatment of all soft processes EL, SD, DD, … , ND (Perturbative contributions added above Q0)
A
Parton Based
dσ2→2 / dp2
⊥
p4
⊥
+ Unitarity & Saturation → Multi-parton interactions (MPI) + Parton Showers & Hadronization Regulate dσ at low pT0 ~ few GeV Screening/Saturation → energy-dependent pT0 Total cross sections from Regge Theory
(e.g., Donnachie-Landshoff + Parametrizations)
E.g., PYTHIA, HERWIG, SHERPA
B
⊗ PDFs
Froissart-Martin Bound
PYTHIA,
9
dσ2→2 / dp2
⊥
p4
⊥
⊗ PDFs Main applications:
Central Jets/EWK/top/ Higgs/New Physics Gluon PDF x*f(x) Q2 = 1 GeV2
Warning: NLO PDFs < 0
100 500 1000 5000 1¥104 5¥1041¥105 1 2 3 4 5 6 7
ECM [GeV] pT0 [GeV] pT0 scale vs CM energy Range for Pythia 6 Perugia 2012 tunes
100 TeV 30 TeV 7 TeV 0.9 TeV
Poor Man’s Saturation High Q2 and finite x Extrapolation to soft scales delicate. Impressive successes with MPI-based models but still far from a solved problem
Form of PDFs at small x and Q2 Form and Ecm dependence of pT0 regulator Modeling of the diffractive component Proton transverse mass distribution Colour Reconnections, Collective Effects
Saturation See also Connecting hard to soft: KMR, EPJ C71 (2011) 1617 + PYTHIA “Perugia Tunes”: PS, PRD82 (2010) 074018 + arXiv:1308.2813
See talk on UE by W. Waalewijn
η
0.5 1
η dN/d
3 4 5 6 7 8 9
ALICE Pythia 6 (350:P2011) Pythia 6 (370:P2012) Pythia 6 (320:P0) Pythia 6 (327:P2010)
7000 GeV pp
Soft QCD (mb,diff,fwd)
mcplots.cern.ch 4.2M events ≥ Rivet 1.8.2,
Pythia 6.427 ALICE_2010_S8625980 )
T| < 1.0, all p η > 0, |
chDistribution (N η Charged Particle
10 0% 10% 20% 30% 40% 50% 60% 70%
INEL>0 |η|<1
PHOJET PY 6 DW PY 6 Perugia 0 PY 6 Perugia 2012 PY8 4C (def)
Data from ALICE EPJ C68 (2010) 345, Plot from arXiv:1308.2813 Central Charged-Track Multiplicity Tevatron tunes were ~ 10-20% low
A SENSITIVE E-SCALING PROBE: Relative increase in the central charged-track multiplicity from 0.9 to 2.36 and 7 TeV
See also energy-scaling tuning study, Schulz & PS, EPJ C71 (2011) 1644
Min/Max Range
Discovery at LHC Min-Bias & UE are 10-20% larger than we thought Scale a bit faster with energy → Be sure to use up-to-date (LHC) tunes
PY8 Monash 2013
Pre-LHC Post-LHC
Representative plot. Several MB/UE models/tunes and
same behavior.
11
Plots from mcplots.cern.ch
Central |η|<0.8 Forward 4<|η|<4.8
PY8 doing better than PY6
pre-LHC post-LHC
> η /d
Ch
<dn
Totem
1/n
1 2 3 4 5 6 |<6.5) η >0.04, 5.3<|
T
1, p ≥
ch
> (n η /d
Ch
<dn
Pythia 8.181 Data from Europhys.Lett. 98 (2012) 31002
TOTEM PY8 (Monash 13) PY8 (4C) PY8 (2C)
bins/N
2 5%χ 0.0 ± 0.2 0.0 ± 2.6 0.0 ± 6.1
V I N C I A R O O T7000 GeV
pp
η
5.5 6 6.5
Theory/Data 0.6 0.8 1 1.2 1.4
More sensitive to low x & diffraction
12
2C: an older Tevatron tune 4C: the current LHC tune (Default in Pythia 8.1) Monash 2013: a new LEP + LHC tune (Default from Pythia 8.2?)
Forward Energy Flow Charged Multiplicity
> η <dE/d
100 200 300 400 500 |<4.65) η 1 in both 3.23<| ≥
ch
MB Fwd E Flow (n
Pythia 8.181 Data from JHEP 11 (2011) 148
CMS PY8 (Monash 13) PY8 (4C) PY8 (2C)
bins/N
2 5%χ 0.0 ± 0.2 0.0 ± 0.4 0.0 ± 2.2
V I N C I A R O O T7000 GeV
pp
η
3 3.5 4 4.5 5
Theory/Data 0.6 0.8 1 1.2 1.4
c o lo r f lo w, c o l o r r ec o n n e ct i o ns, par ti cl e spect ra
Rapidity Multiplicity ∝ NMPI
14
Leading NC: each parton-parton interaction scatters ‘new’ colors → incoherent addition of colors 1 or 2 strings per MPI
Quite clean, factorized picture WRONG!
15
Rapidity Multiplicity ∝ NMPI
<
E.g., Generalized Area Law (Rathsman: Phys. Lett. B452 (1999) 364) Color Annealing (P.S., Wicke: Eur. Phys. J. C52 (2007) 133) …
Hydro? Coherence Coherence
NC=3: Colors add coherently + collective effects?
Better theory models needed Study: coherence and/or finite-NC effects String formation at finite NC In context of multi-parton interactions LEP constraints? Additional collectivity? (a la HI? BE?)
16
0.5 1 1.5 |<2.5) η >0.1, |
T
2, p ≥
Ch
) (n
Ch
>(n
T
Soft <p
Pythia 8.181 Data from New J.Phys. 13 (2011) 053033
ATLAS PY8 (Monash 13) PY8 (4C) PY8 (2C)
bins/N
2 5%χ 0.0 ± 0.7 0.0 ± 0.8 0.3 ± 4.0
V I N C I A R O O T7000 GeV
pp 50 100 150 200
Theory/Data 0.6 0.8 1 1.2 1.4
no color reconnections
1) Rise of <pT> with multiplicity
/dy>
Λ
<dn
NSD
1/n
0.1 0.2 0.3 0.4 )/d|y|> (NSD) Λ <dn(
Pythia 8.181 Data from JHEP 1105 (2011) 064
CMS PY8 (Monash 13) PY8 (4C) PY8 (2C)
bins/N
2 5%χ 0.0 ± 6.9 0.0 ± 7.6 0.0 ± 14.7
V I N C I A R O O T7000 GeV
pp
y
0.5 1 1.5 2
Theory/Data 0.6 0.8 1 1.2 1.4
2) Baryons by coalescence? <pT> nCharged
Less singular than gluon emission: single log
→ Less precise, from parton-shower viewpoint Massive quarks → not even singular
Predictions for g→cc,bb differ greatly between models
Non-singular terms, evolution variable, renormalization scale
Beware: overpredicted if (c,b) treated massless
17
P(g → q¯ q) ∝ 1 m2
q¯ q
Strong interest in constraints from double-tagged heavy-flavor jets At the theory level we will learn more from NLO corrections to gluon- splitting processes
means di fferent thi ngs to di fferent peopl e
19
αs(MZ) = 0.12
1/N dN/d(1-T)
10
10
10 1 10 1-Thrust (udsc)
Pythia 8.165 Data from Phys.Rept. 399 (2004) 71L3 Pythia
V I N C I A R O O T 1-T (udsc)0.1 0.2 0.3 0.4 0.5
Theory/Data0.6 0.8 1 1.2 1.4 1/N dN/d(Minor)
10
10
10 1 10 Minor
Pythia 8.165 Data from CERN-PPE-96-120Delphi Pythia
V I N C I A R O O T Minor0.1 0.2 0.3 0.4 0.5
Theory/Data0.6 0.8 1 1.2 1.4
T = max
pi · n|
pi|
2
1 − T → 0
Major Minor
PYTHIA 8 (hadronization on) vs LEP: Thrust
Minor 1-T
1/N dN/d(1-T)
10
10
10 1 10 1-Thrust (udsc)
Pythia 8.165 Data from Phys.Rept. 399 (2004) 71L3 Pythia
V I N C I A R O O T 1-T (udsc)0.1 0.2 0.3 0.4 0.5
Theory/Data0.6 0.8 1 1.2 1.4 1/N dN/d(Minor)
10
10
10 1 10 Minor
Pythia 8.165 Data from CERN-PPE-96-120Delphi Pythia
Minor0.1 0.2 0.3 0.4 0.5
Theory/Data0.6 0.8 1 1.2 1.4
Minor 1-T
αs(MZ) = 0.14 + IR regularization → Impact on non-perturbative parameters!
1-loop running, MC 1-loop running, MC
Sneak Preview:
20
0.1 0.2 0.3 0.4 0.5
1/N dN/d(1-T)
10
10
10 1 10
210 1-Thrust (udsc)
Vincia 1.030 + MadGraph 4.426 + Pythia 8.175 Data from Phys.Rept. 399 (2004) 71
L3 Vincia (NLO) Vincia (NLO off) Vincia (LO tune)
V I N C I A R O O T1-T (udsc)
0.1 0.2 0.3 0.4 0.5
Theory/Data 0.6 0.8 1 1.2 1.4
0.2 0.4 0.6 0.8 1
1/N dN/dC
10
10
10 1 10
210 C Parameter (udsc)
Vincia 1.030 + MadGraph 4.426 + Pythia 8.175 Data from Phys.Rept. 399 (2004) 71
L3 Vincia (NLO) Vincia (NLO off) Vincia (LO tune)
V I N C I A R O O TC (udsc)
0.2 0.4 0.6 0.8 1
Theory/Data 0.6 0.8 1 1.2 1.4
0.2 0.4 0.6 0.8
1/N dN/dD
10
10
10 1 10 D Parameter (udsc)
Vincia 1.030 + MadGraph 4.426 + Pythia 8.175 Data from Phys.Rept. 399 (2004) 71
L3 Vincia (NLO) Vincia (NLO off) Vincia (LO tune)
V I N C I A R O O TD (udsc)
0.2 0.4 0.6 0.8
Theory/Data 0.6 0.8 1 1.2 1.4
First LEP tune with NLO 3-jet corrections
LO tune: αs(MZ) = 0.139 (1-loop running, MC) NLO tune: αs(MZ) = 0.122 (2-loop running, MSbar→MC)
Hartgring, Laenen, Skands, arXiv:1303.4974
HADRON COLLISIONS
HERWIG++ and SHERPA are developing diffractive models + investigating color reconnections EPOS uses collective effects (hydro) also in pp
Impressive successes for identified-particle spectra (→?)
PYTHIA 8 (by now generally superior to PYTHIA 6)
New “Monash 2013” tune (LEP+MB+UE+DY) (from v.8.185) New model of colour reconnections to be developed over next half year (with J.R. Christiansen) → “Monash 2014”? Hard diffraction included in PYTHIA 8 (not 6), but diffraction generally still poorly understood VINCIA for hadron colliders also to be ready in 2014
PHOJET, SIBYLL, QGSJET (pomeron-based)
Personal (biased?) view: Problems with soft-to-hard transition
Tuning: LO vs NLO & universality needs better understanding
21
Gluon Splitting: double-tagged (cc and bb) jets
Interplay with boosted H→bb, Z→bb Do double-tagging algorithms exist? How difficult/complicated would they be to develop? Can dependence on mQQ be measured?
Underlying event in top
Charged-track multiplicity in top events
Dependence on pT and m
Underlying event away from boosted tops
22
MB and UE tails (more/less central) Rapidity Gaps: CR vs Diffraction
23
24
25
New Users/Day
May June July Aug Sep
July 4th 2012
The ¡LHC@home ¡2.0 ¡project ¡Test4Theory ¡allows ¡users ¡to ¡par8cipate ¡in ¡running ¡simula8ons ¡of ¡high-‑ energy ¡par8cle ¡physics ¡using ¡their ¡home ¡computers. The ¡results ¡are ¡submiJed ¡to ¡a ¡database ¡which ¡is ¡used ¡as ¡a ¡common ¡resource ¡by ¡both ¡ experimental ¡and ¡theore8cal ¡scien8sts ¡working ¡on ¡the ¡Large ¡Hadron ¡Collider ¡at ¡CERN.
New: ¡Ci#zen ¡Cyberlab ¡(funds ¡from ¡EU)
Develop ¡an ¡app ¡that ¡lets ¡ci8zen ¡scien8sts ¡learn ¡ about, ¡interact ¡with, ¡and ¡op4mize ¡high-‑energy ¡ physics ¡simula4ons, ¡by ¡comparing ¡them ¡to ¡real ¡ data
http://lhcathome.cern.ch/test4theory
Oct 2014 → Monash University Melbourne, Australia
Establishing a new group in Melbourne Working on PYTHIA & VINCIA NLO Event Generators Precision LHC phenomenology & soft physics Support LHC experiments, astro-particle community, and future accelerators Outreach and Citizen Science
P . Skands
27
Bahr, Butterworth, Seymour: arXiv:0806.2949 [hep-ph]
P a r t
S h
e r C u t
f ( f
c
p a r i s
)
Z
p2
⊥,min
dp2
⊥
dσDijet dp2
⊥
Leading-Order pQCD = Allow several parton-parton interactions per hadron-hadron collision. Requires extended factorization ansatz.
hni < 1 hni > 1
Parton-Parton Cross Section Hadron-Hadron Cross Section
σ2→2(p⊥min) = ⌥n(p⊥min) σtot
QF Q2 ×
Lesson from bremsstrahlung in pQCD: divergences → fixed-order breaks down Perturbation theory still ok, with resummation (unitarity)
→ Resum dijets? Yes → MPI!
dσ2→2 / dp2
⊥
p4
⊥
⇠ dp2
⊥
p4
⊥
Earliest MC model (“old” PYTHIA 6 model) Sjöstrand, van Zijl PRD36 (1987) 2019
Naively
Interactions independent (naive factorization) → Poisson
28
a solution to : m σtot =
∞
σn σint =
∞
n σn σint > σtot ⇐ ⇒ n > 1
> σtot ⇐ ⇒ n Pn n = 2 0 1 2 3 4 5 6 7
Pn = nn n! e−n rgy–momentum conser Real Life
Momentum conservation suppresses high-n tail + physical correlations → not simple product
(example)
hn2→2(p⊥min)i = σ2→2(p⊥min) σtot
P . Skands
29 Parton-Parton Cross Section Hadron-Hadron Cross Section
σ2→2(p⊥min) = ⌥n(p⊥min) σtot
= main tuning parameter
Equivalent to assuming all parton-parton interactions equivalent and independent ~ each take an instantaneous “snapshot” of the proton
Veto if total beam momentum exceeded → overall (E,p) cons
Assume factorization of transverse and longitudinal d.o.f., → PDFs : f(x,b) = f(x)g(b) b distribution ∝ EM form factor → JIMMY model Constant of proportionality = second main tuning parameter
interactions with pT < pTmin and require σsoft + σhard = σtot
→ Herwig++ model
The minimal model incorporating single-parton factorization, perturbative unitarity, and energy-and-momentum conservation
Ordinary CTEQ, MSTW, NNPDF, …
Bähr et al, arXiv:0905.4671 Butterworth, Forshaw, Seymour Z.Phys. C72 (1996) 637
P . Skands
30
Underlying Event
(note: interactions correllated in colour: hadronization not independent)
multiparton PDFs derived from sum rules Beam remnants Fermi motion / primordial kT Fixed order matrix elements Parton Showers (matched to further Matrix Elements) perturbative “intertwining”?
“New” Pythia model
Sjöstrand & Skands, JHEP 0403 (2004) 053; EPJ C39 (2005) 129
(B)SM 2→2
Also available for Pomeron-Proton collisions since Pythia 8.165
7 TeV 8 TeV
ALICE ATL CMS ALICE TOTEM TOTEM TOTEM AUGER AUGER13 TeV
31
PP CROSS SECTIONS TOTEM, PRL 111 (2013) 1, 012001
σinel(13 TeV) ∼ 80 ± 3.5 mb σtot(13 TeV) ∼ 110 ± 6 mb σtot(8 TeV) = 101 ± 2.9 mb
(2.9%)
σel(8 TeV) = 27.1 ± 1.4 mb
(5.1%)
σinel(8 TeV) = 74.7 ± 1.7 mb
(2.3%)
Pileup rate ∝ σtot(s) = σel(s) + σinel(s) ∝ s0.08 or ln2(s) ?
Donnachie-Landshoff Froissart-Martin Bound
total inelastic elastic
PYTHIA: 100 mb PYTHIA: 78 mb
(PYTHIA versions: 6.4.28 & 8.1.80)
PYTHIA: 73 mb PYTHIA: 20 mb PYTHIA: 93 mb
PYTHIA elastic is too low
PYTHIA PYTHIAPHOJET elastic is too large
32 (GeV) s 10
2
10
3
10
4
10
=0 η
| η /d
ch
dN
1 2 3 4 5 6 7 8
SIBYLL 2.1 QGSJET 01 QGSJET II EPOS 1.99
CMS (p-p NSD) ALICE (p-p NSD) MB) p CDF (p- NSD) p UA1 (p- NSD) p UA5 (p-
dNch(s, η) dη
∝ Imf P(s, 0) s σinel
pp (s)
∼ s∆P log2 s ,
From soft models based on Regge Theory, expect:
NSD
A
EPOS too low (but there is coming a new version which fits LHC better, worth trying out) QGSJET too agressive? Would predict very high densities Will keep these models in mind but will base main extrapolations
33
/dy>
K
<dn
NSD
1/n
0.2 0.4 0.6 0.8 )/d|y|> Rapidity (NSD)
S
<dn(K
Pythia 8.181 Data from JHEP 1105 (2011) 064
CMS PY8 (Monash 13) PY8 (4C) PY8 (2C)
bins/N
2 5%χ 0.0 ± 0.0 0.0 ± 0.8 0.0 ± 9.4
V I N C I A R O O T7000 GeV
pp
y
0.5 1 1.5 2
Theory/Data 0.6 0.8 1 1.2 1.4
T
/dp
K
dn
K
1/n
10
10
10
10
10 1 10 (|y|<2.0, NSD)
T
p
S
K
Pythia 8.181 Data from JHEP 1105 (2011) 064
CMS PY8 (Monash 13) PY8 (4C) PY8 (2C)
bins/N
2 5%χ 0.1 ± 7.1 0.0 ± 3.3 0.1 ± 2.2
V I N C I A R O O T7000 GeV
pp
[GeV]
T
p
2 4 6 8 10
Theory/Data 0.6 0.8 1 1.2 1.4
34
/dy>
Λ
<dn
NSD
1/n
0.1 0.2 0.3 0.4 )/d|y|> (NSD) Λ <dn(
Pythia 8.181 Data from JHEP 1105 (2011) 064
CMS PY8 (Monash 13) PY8 (4C) PY8 (2C)
bins/N
2 5%χ 0.0 ± 6.9 0.0 ± 7.6 0.0 ± 14.7
V I N C I A R O O T7000 GeV
pp
y
0.5 1 1.5 2
Theory/Data 0.6 0.8 1 1.2 1.4
T
/dp
Λ
dn
Λ
1/n
10
10
10
10
10 1 10 (|y|<2.0, NSD)
T
p Λ
Pythia 8.181 Data from JHEP 1105 (2011) 064
CMS PY8 (Monash 13) PY8 (4C) PY8 (2C)
bins/N
2 5%χ 0.1 ± 5.8 0.3 ± 6.7 0.5 ± 10.3
V I N C I A R O O T7000 GeV
pp
[GeV]
T
p
2 4 6 8 10
Theory/Data 0.6 0.8 1 1.2 1.4
P . Skands + NEW! full MPI + showers for system (→ UE in Diffraction) + NEW! Central Diffraction (→ fully contained gap-X-gap events) + NEW! Alternative Min-Bias Rockefeller (MBR) Model
35 0.0001 0.001 0.01 0.1 1 10 100 2 4 6 8 10 pT (GeV) Pythia 8.130 Pythia 6.414 Phojet 1.12
dσsd(AX)(s) dt dM 2 = g3I
P
16π β2
AI P βBI P
1 M 2 exp(Bsd(AX)t) Fsd , dσdd(s) dt dM 2
1 dM 2 2
= g2
3I P
16π βAI
P βBI P
1 M 2
1
1 M 2
2
exp(Bddt) Fdd .
Diffractive Cross Section Formulæ:
4) Choice between 5 Pomeron PDFs. Free parameter needed to fix 4) Choice between 5 Pomeron PDFs. Free parameter σI
Pp needed to fix ninteractions = σjet/σI Pp.
5) Framework needs testing and tuning, e.g. of . 5) Framework needs testing and tuning, e.g. of σI
Pp.
to I Pp ha n showers
Navin, arXiv:1005.3894
PY6 No diffr jets PYTHIA8 & PHOJET include diffr jets
+ Recently Central Diffraction!
pi pj p
xg x LRG X
Partonic Substructure in Pomeron:
Follows the Ingelman- Schlein approach of Pompyt PYTHIA 8 MX > 10 GeV MX ≤ 10 GeV
Represent MX as longitudinal string → Fragment → Typical string-fragmentation spectrum
(and for all masses in PYTHIA 6)
36
V E T O
Single Diffraction
H I T
ALFA MBTS CALO TRACKING CALO
H I T
MBTS
?
ALFA
Gap
p p pPom = xPom Pp p’
SD DIJETS * Mass Spectrum (how high can you go?) * Underlying Event in SD DIJET events * Dijet Decorrelation ∆φjj * SD FOUR JETS (MPI in diffraction!) SD: Identified Particles * Λ and KS * Other identified particles? * Compare to minimum bias
V
ZDC? n0,γ, …
?
ZDC? n0,γ, … Measure p’
Glueball-Proton Collider with variable ECM
37
V E T O V E T O
Central Diffraction
H I T
ALFA MBTS CALO TRACKING CALO MBTS
H I T
ALFA
Gap Gap CD
CD * Mass Spectrum (how high can you go?) * Mass2 = xPom1 xPom2 s * Rapidity of system → xPom1 / xPom2 CD JETS * Underlying Event * Dijet Decorrelation, ∆φjj
V
ZDC? n0,γ, …
V
ZDC? n0,γ, … Measure p’ Measure p’
Glueball-Glueball Collider with variable ECM
38
V E T O
Multi-Gap Diffraction (= Subset of Single-Gap)
H I T
ALFA MBTS CALO TRACKING CALO
H I T
MBTS
?
ALFA
Gap
p p p’
Gap A B
p p p’
Sometimes called “Triple-Pomeron Vertex”
A B A B V
ZDC? n0,γ, …
?
ZDC? n0,γ, … Measure p’
Best tuning result (and default in PYTHIA)
Obtained with αs(MZ) ≈ 0.14 ≠ World Average = 0.1176 ± 0.0020
Value of αs depends on the order and scheme
MC ≈ Leading Order + LL resummation Other LO extractions of αs ≈ 0.13 - 0.14 Effective scheme interpreted as “CMW” → 0.13; 2-loop running → 0.127; NLO → 0.12 ?
Not so crazy
Tune/measure even pQCD parameters with the actual generator. Sanity check = consistency with other determinations at a similar formal order, within the uncertainty at that order
(including a CMW-like scheme redefinition to go to ‘MC scheme’)
39
Improve → Matching at LO and NLO