Understanding Hadronisation at PP Colliders
P e t e r S k a n d s ( M o n a s h U n i v e r s i t y ) Fermilab LPC - Topic of the Week August 2016
Understanding Hadronisation at PP Colliders P e t e r S k a n d s - - PowerPoint PPT Presentation
Understanding Hadronisation at PP Colliders P e t e r S k a n d s ( M o n a s h U n i v e r s i t y ) Fermilab LPC - Topic of the Week August 2016 Monte Carlos and Fragmentation Monte Carlo generators aim to give fully exclusive
P e t e r S k a n d s ( M o n a s h U n i v e r s i t y ) Fermilab LPC - Topic of the Week August 2016
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๏Monte Carlo generators aim to give fully exclusive descriptions ofcorrection factors, extract fundamental parameters, cross sections, …
๏Lund String Model has probably been the most successful hadronisationM o n a s h U n i v e r s i t y
See, e.g., MCnet review arXiv:1101.2599, or TASI lectures arXiv:1207.2389
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M o n a s h U n i v e r s i t y
most of my research
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M o n a s h U n i v e r s i t y
The Standard Model
encouraging start
There are more things in heaven and earth, Horatio, than are dreamt of in your philosophy
Shakespeare, Hamlet.
P e t e r S k a n d s
time
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M o n a s h U n i v e r s i t y
qi qj ga (−igsta
ijγµ)
THEORY EXPERIMENT
example:
“QCD” “Jets” PHENOMENOLOGY INTERPRETATION
Drawing by
Model Calculations Observables Analyses Planning Design R&D Hardware Triggers … Measurements Corrections Systematics Exclusions Hints Evidence Discoveries Surprises Statistical Tests Validate/Falsify Models Constrain Free Parameters
The Pipeline looks something like this:
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๏Factorization → Split the problem into many (nested) piecesM o n a s h U n i v e r s i t y
Hard Process & Decays:
Use process-specific (N)LO matrix elements → Sets “hard” resolution scale for process: QMAX
ISR & FSR (Initial & Final-State Radiation):
Universal DGLAP equations → differential evolution, dP/dQ2, as function of resolution scale; run from QMAX to QConfinement ~ 1 GeV
MPI (Multi-Parton Interactions)
Additional (soft) parton-parton interactions: LO matrix elements → Additional (soft) “Underlying-Event” activity
Hadronization
Non-perturbative model of color-singlet parton systems → hadrons
+ Quantum mechanics → Probabilities → Random Numbers
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M o n a s h U n i v e r s i t y
๏Quark-Antiquark Potential46 STATIC QUARK-ANTIQUARK
POTENTIAL:
2641
Scaling plot
2GeV-
1 GeV—
2
I
k,
t0.5
1.
5
1 fm
2.5
l~
RK
B= 6.0, L=16 B= 6.0, L=32 B= 6.2, L=24 B= 6.4, L-24
B = 6.4, L=32
3.
5
~ 'V ~ ~ I ~ A I4 2'
data of the five lattices have been scaled to a universal curve by subtracting
Vo and measuring
energies and distances
in appropriate units of &E. The dashed curve correspond
to V(R)=R —
~/12R. Physical units are calculated
by exploit- ing the relation &cr =420 MeV.
AM~a=46. 1A~ &235(2)(13) MeV .
Needless
to say, this value does not necessarily
apply to full QCD.
In addition
to the long-range
behavior of the confining potential it is of considerable interest to investigate its ul- traviolet
structure. As we proceed into the weak cou-
pling regime lattice simulations
are expected to meet per-
turbative results. Although
we are aware that our lattice
resolution is not yet really
suScient,
we might
dare to
previe~ the
continuum behavior
Coulomb-like term from our results.
In Fig. 6(a) [6(b)] we visualize the
confidence regions
in the K-e plane from fits to various
lattices at P=6.0
[6.4]. We observe that the impact of lattice discretization
150 140
Barkai '84
'90
Our results:---
130-
120-
110-
100-
80—
5.6 5.8
6.2 6.4
[in units of the quantity
c =&E /(a AL )] as a function of P. Our results are combined
with pre- vious values obtained by the MTc collaboration
[10]and Barkai, Moriarty,
and Rebbi [11].
~ Force required to lift a 16-ton truck
LATTICE QCD SIMULATION. Bali and Schilling Phys Rev D46 (1992) 2636
Short Distances ~ “Coulomb”
“Free” Partons
Long Distances ~ Linear Potential
“Confined” Partons (a.k.a. Hadrons)
(in “quenched” approximation)
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๏1911: Discover of superconductivity (K. Onnes) ๏1933: Discovery of flux expulsion (Meissner & Ochsenfeld)M o n a s h U n i v e r s i t y
ξ < √ 2λ
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๏After the parton shower finishes, there can be lots of partons,M o n a s h U n i v e r s i t y
Illustrations from: Nason & Skands, PDG Review on MC Event Generators, 2014
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๏For an entire CascadeM o n a s h U n i v e r s i t y
String #1 String #2 String #3
Coherence of pQCD cascades (angular ordering or boosted dipoles/antennae) → not much “overlap” between strings → Leading-colour approximation pretty good
1 1 1 1 2 2 2 4 4 4 3 3 3 5 5 5 6 7 7
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M o n a s h U n i v e r s i t y
Endpoints
Excitations (kinks)
string worldsheet evolving in spacetime
break (by quantum tunneling) constant per unit area → AREA LAW
→ STRING EFFECT
Pedagogical Review: B. Andersson, The Lund model. Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol., 1997.
P e t e r S k a n d s
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M o n a s h U n i v e r s i t y
[GeV]
T
Jet p 500 1000 1500 〉
charged
n 〈 20 ATLAS
= 8 TeV s = 20.3
int
L
> 0.5 GeV
track T
p
Quark Jets (Data) Gluon Jets (Data) Quark Jets (Pythia 8 AU2) Gluon Jets (Pythia 8 AU2) LO pQCD
3
Quark Jets N LO pQCD
3
Gluon Jets N
quark antiquark gluon string motion in the event plane (without breakups)
Gluon connected to two string pieces Each quark connected to one string piece → expect factor 2 ~ CA/CF larger particle multiplicity in gluon jets vs quark jets Can be important for discriminating new-physics signals (decays to quarks vs decays to gluons, vs composition of background and bremsstrahlung combinatorics ) Example of Recent Studies
ATLAS, Eur.Phys.J. C76 (2016) no.6, 322 See also Larkoski et al., JHEP 1411 (2014) 129 Thaler et al., Les Houches, arXiv:1605.04692
P e t e r S k a n d s
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๏Generally, expect few-hundred MeV shifts by hadronisationM o n a s h U n i v e r s i t y
0.1 200 500 100 1000 pp, 7 T eV, no UE Δpthadr × R CF/C [GeV] pt (parton) [GeV] hadronisation pt shift (scaled by R CF/C) Herwig 6 (AUET2) Pythia 8 (Monash 13) R=0.2, quarks R=0.4, quarks R=0.2, gluons R=0.4, gluons Monte Carlo tune jet radius, flavour simple analytical estimate
Simple analytical estimate → ~ 0.5 GeV / R correction from hadronisation (scaled by colour factor)
Dasgupta, Dreyer, Salam, Soyez, JHEP 1606 (2016) 057
QCD/Q2 OBS
Significant differences between codes/tunes → important to pin down with precise QCD hadronisation measurements at LHC
See Korchemsky, Sterman, NPB 437 (1995) 415 Seymour, NPB 513 (1998) 269 Dasgupta, Magnea, Salam, JHEP 0802 (2008) 055
LES HOUCHES STUDY (ARXIV:1605.04692): Q/G CAN BE HIGHLY AFFECTED BY COLOUR RECONNECTIONS
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M o n a s h U n i v e r s i t y
Proton-Proton (LHC)
A lot more colour kicked around (& also colour in initial state) Include “Beam Remnants” Still might look relatively simple, to begin with
With several parton-parton interactions (MPI → UE):
How to make sense of the colour structure?
String-fragmentation of junctions: Sjöstrand & Skands NPB 659 (2003) 243; CR with junctions: Christiansen & Skands JHEP 1508 (2015) 003
๏Next-to-simplest: 2 string systemsW mass measurement, ΔMW ~ 40 MeV
2
by kinematics, and there are “only” two strings;
Overviews of recent models: arXiv:1507.02091 , arXiv:1603.05298
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M o n a s h U n i v e r s i t y
Beam Direction
MPI
Without Colour Reconnections Each MPI hadronizes independently of all others
Outgoing parton
(including MPI: Multiple Parton-Parton Interactions ~ the “underlying event”)
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M o n a s h U n i v e r s i t y
Beam Direction
MPI
Without Colour Reconnections Each MPI hadronizes independently of all others
Outgoing parton String Piece
(including MPI: Multiple Parton-Parton Interactions ~ the “underlying event”) So many strings in so little space If true → Very high energy densities QGP-like “core” with hydro? → Thermal? E.g., EPOS
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M o n a s h U n i v e r s i t y
Beam Direction
MPI
With Colour Reconnections MPI hadronize collectively
Outgoing parton String Piece
See also Ortiz et al., Phys.Rev.Lett. 111 (2013) 4, 042001
comoving hadrons
Highly interesting theory questions now. Is there collective flow in pp? If yes, what is its origin? Is it stringy, or hydrodynamic ? (or …?) Or Thermal? Or Higher String Tension?
E.g., EPOS E.g., DIPSY rope
(including MPI: Multiple Parton-Parton Interactions ~ the “underlying event”) String-Length Minimisation E.g., PYTHIA, HERWIG E.g., do most patches of event look the same (thermalised?) or do they look more independent?
See e.g., Skands & Wraight: arXiv:1101.5215
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M o n a s h U n i v e r s i t y
“Direct
Kelvin waves excited by quantized vortex reconnection” Visualisation by: Fonda, Meichle, Ouellette, Hormoz, Lathrop, PNAS 111(2014)4707 http://www.pnas.org/content/suppl/2014/03/20/1312536110.DCSupplemental
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M o n a s h U n i v e r s i t y
Average pT increases with particle multiplicity and (faster than predicted) with particle mass without CR w i t h ( t u n e d ) C R <pT> vs Number of Particles <pT> vs Particle Mass
Note: from RHIC (200 GeV)
Plots from mcplots.cern.ch ‘New Look’
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M o n a s h U n i v e r s i t y
φ ∆
1 2 3 4 ) φ ∆ Y( 7 7.05 7.1 7.15 7.2 7.25 7.3
) φ ∆ Y( ) φ ∆ (
periph
G + FY ) φ ∆ (
templ
Y (0)
periph
G + FY (0)
periph
+FY
ridge
Y
ATLAS =13 TeV s <5.0 GeV
a,b T
0.5<p |<5.0 η ∆ 2.0<| 120 ≥
rec ch
N
η ∆
1 2 3 4
(radians) φ ∆
1 2 3 4
φ ∆ d η ∆ d
pair
N
2
d
trig
N 1
1.6 1.65 1.7
105 ≥
trk
= 13 TeV, N s CMS pp < 3 GeV/c
T
1 < p (b)
Reminiscent of the (much stronger) ridge seen in HI collisions. Surprisingly strong also in proton-Lead High-Multiplicity pp collisions
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M o n a s h U n i v e r s i t y
>
ch
<n <n>
10
10
10 1 10 Meson Fractions
Pythia 8.183 Data from PDG/HEPDATA
LEP + SLD PY8 (Monash) PY8 (Default) PY8 (Fischer)
bins
/N
2 5%
χ 0.0 ± 0.6 0.0 ± 1.2 0.0 ± 1.2
V I N C I A R O O T
±
π π
±
K η ' η
±
ρ ρ
± *
K ω φ
K*/K-
R
/K* φ
R
/K- φ
R
/ φ
R
Theory/Data 0.6 0.8 1 1.2 1.4
>
ch
<n <n>
10
10
10
10 1 Baryon Fractions
Pythia 8.183 Data from PDG/HEPDATA
LEP PY8 (Monash) PY8 (Default) PY8 (Fischer)
bins
/N
2 5%
χ 0.1 ± 1.1 0.0 ± 2.2 0.0 ± 2.2
V I N C I A R O O T
p Λ
/p Λ
R
/K Λ
R
±
Σ Σ
++
∆
*
Σ
±
Ξ
*0
Ξ Ω
Theory/Data 0.6 0.8 1 1.2 1.4
Z Decays
/dy>
K
<dn
NSD
1/n
0.2 0.4 0.6 0.8 )/d|y|> Rapidity (NSD)
S
<dn(K
Pythia 8.185 Data from JHEP 1105 (2011) 064
CMS PY8 (Monash 13) PY8 (4C) PY8 (2C)
bins
/N
2 5%
χ 0.0 ± 0.1 0.0 ± 0.9 0.0 ± 9.6
V I N C I A R O O T
pp
7000 GeV
y
0.5 1 1.5 2
Theory/Data 0.6 0.8 1 1.2 1.4
CMS
Kaon Rate ~ OK
(within uncertainty allowed by ee data) /dy>
Λ
<dn
NSD
1/N
0.1 0.2 0.3 0.4 )/d|y|> (NSD) Λ <dn(
Pythia 8.185 Data from JHEP 1105 (2011) 064
CMS PY8 (Monash 13) PY8 (4C) PY8 (2C)
bins
/N
2 5%
χ 0.0 ± 6.4 0.0 ± 7.8 0.1 ± 14.7
V I N C I A R O O T
pp
7000 GeV
y
0.5 1 1.5 2
Theory/Data 0.6 0.8 1 1.2 1.4 Lambda Rate ~ 2/3 of data
(not compatible with uncertainty in ee data) /dy>
Ξ
<dn
NSD
1/N
0.01 0.02 0.03 0.04 )/d|y|> (NSD) Ξ <dn(
Pythia 8.185 Data from JHEP 1105 (2011) 064
CMS PY8 (Monash 13) PY8 (4C) PY8 (2C)
bins
/N
2 5%
χ 0.1 ± 8.9 0.1 ± 12.9 0.1 ± 19.2
V I N C I A R O O T
pp
7000 GeV
y
0.5 1 1.5 2
Theory/Data 0.5 1 1.5 2
Xi Rate ~ 1/2 of data
(not compatible with uncertainty in ee data) (note: old tunes may be low on everything)
This is the data used to tune the models
Plots from the Monash tune paper Eur.Phys.J. C74 (2014) no.8, 3024
/dln(x)
K
> dn
K
1/<n
10
10
10 1 10 ) (Combined)
±
x(K
Pythia 8.183 Data from ZPC66(1995)355, ZPC63(1994)181, EPJC5(1998)585
LEP (A+D+O) PY8 (Monash) PY8 (Default) PY8 (Fischer)
bins
/N
2 5%
χ 0.1 ± 1.6 0.0 ± 1.4 0.1 ± 1.9
V I N C I A R O O T
)
p
ln(x
Theory/Data 0.6 0.8 1 1.2 1.4
2
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 T
7000 GeV
pp
[GeV]
T
p
2 4 6 8 10
Theory/Data 0.6 0.8 1 1.2 1.4
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M o n a s h U n i v e r s i t y
Kaon spectrum at LEP Kaon spectrum at LHC Note: rates normalised to unity now (+ Several measurements by ALICE, LHCb)
Plots from the Monash tune paper Eur.Phys.J. C74 (2014) no.8, 3024
ξ /d
Λ
> dn
Λ
1/<n
0.2 0.4 0.6 )]| Λ |Ln[x(
Pythia 8.183 Data from EPJ C16 (2000) 613
ALEPH PY8 (Monash) PY8 (Default) PY8 (Fischer)
bins
/N
2 5%
χ 0.1 ± 0.8 0.1 ± 1.5 0.1 ± 1.2
V I N C I A R O O T
p
ξ
1 2 3 4 5
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 T
7000 GeV
pp
[GeV]
T
p
2 4 6 8 10
Theory/Data 0.6 0.8 1 1.2 1.4
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M o n a s h U n i v e r s i t y
Lambda spectrum at LEP Lambda spectrum at LHC Note: rates normalised to unity now (+ Several measurements by ALICE, LHCb)
Plots from the Monash tune paper Eur.Phys.J. C74 (2014) no.8, 3024
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๏Effect also present in UE (note: effect enhanced by pT cuts, cf spectra)M o n a s h U n i v e r s i t y
Kaons Lambdas
Do MC jets have the right particle content and spectra? Implications for particle-flow modeling, JES calibrations, Q/G discrimination? Further measurements? (in jets, along jet rapidity axis, …)
Plots from mcplots.cern.ch
Protons more numerous than Lambda; but probably have to ask ALICE?
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M o n a s h U n i v e r s i t y
Probing Collective Effects in Hadronisation with the Extremes of the Underlying Event
5 10 15 20 25 30 35
> [Trans.]
Inc.
< N 5 10 15 20 25 30 35 40 45 50
Pythia 8.210 Monash Pythia 8.210 Monash + New CR EPOS 1.3 LHC DIPSY NoSwing DIPSY Rope
= 13 TeV s
[GeV]
T
Leading Track-Jet p 5 10 15 20 25 30 35 Monash MC 0.6 0.8 1 1.2 1.4
) > [Trans.]
S
)/N(K Λ Λ < N( 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7
Pythia 8.210 Monash Pythia 8.210 Monash + New CR EPOS 1.3 LHC DIPSY NoSwing DIPSY Rope
= 13 TeV s
T
R
1 −
10 × 2 1 2 3 4 Monash MC 1 1.5 ) > [Trans.] Λ Λ )/N(
+
Ξ
< N( 0.08 0.1 0.12 0.14 0.16 0.18
Pythia 8.210 Monash Pythia 8.210 Monash + New CR EPOS 1.3 LHC DIPSY NoSwing DIPSY Rope
= 13 TeV s
T
R
1 −
10 × 2 1 2 3 4 Monash MC 1 1.5 2 2.5
Lambda/K Xi/Lambda
Lead pT <N> Transverse to Lead pT
RT < 1 RT > 1 RT > 2 RT > 3
From T. Martin, ICHEP 2016
“Extreme UE”
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๏A clear enhancement of strangenessM o n a s h U n i v e r s i t y D.D. Chinellato – 38th International Conference on High
|< 0.5 η |
〉 η /d
ch
N d 〈
10
2
10
3
10
)
+
π +
−
π Ratio of yields to (
3 −
10
2 −
10
1 −
10
16) × (
+
Ω +
−
Ω 6) × (
+
Ξ +
−
Ξ 2) × ( Λ + Λ
S
2K ALICE = 7 TeV s pp, = 5.02 TeV
NN
s p-Pb, = 2.76 TeV
NN
s Pb-Pb,
PYTHIA8 DIPSY EPOS LHC ALICE, arXiv:1606.07424
S
2K 2) × ( Λ + Λ 6) × (
+
Ξ +
−
Ξ 16) × (
+
Ω +
−
Ω [1] [2] [3]
D.D. Chinellato – 38th International Conference on High Energy Physics
P e t e r S k a n d s
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๏Looks like the effect, whatever itM o n a s h U n i v e r s i t y D.D. Chinellato – 38th International Conference on High
|< 0.5 η |
〉 η /d
ch
N d 〈
10
2
10
3
10
)
+
π +
−
π Ratio of yields to (
3 −
10
2 −
10
1 −
10
16) × (
+
Ω +
−
Ω 6) × (
+
Ξ +
−
Ξ 2) × ( Λ + Λ
S
2K ALICE = 7 TeV s pp, = 5.02 TeV
NN
s p-Pb, = 2.76 TeV
NN
s Pb-Pb,
PYTHIA8 DIPSY EPOS LHC ALICE, arXiv:1606.07424
S
2K 2) × ( Λ + Λ 6) × (
+
Ξ +
−
Ξ 16) × (
+
Ω +
−
Ω [1] [2] [3]
D.D. Chinellato – 38th International Conference on High Energy Physics
P e t e r S k a n d s
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M o n a s h U n i v e r s i t y D.D. Chinellato – 38th International Conference on High
|< 0.5 η |
〉 η /d
ch
N d 〈
10
2
10
3
10
)
+
π +
−
π Ratio of yields to (
3 −
10
2 −
10
1 −
10
16) × (
+
Ω +
−
Ω 6) × (
+
Ξ +
−
Ξ 2) × ( Λ + Λ
S
2K ALICE = 7 TeV s pp, = 5.02 TeV
NN
s p-Pb, = 2.76 TeV
NN
s Pb-Pb,
PYTHIA8 DIPSY EPOS LHC ALICE, arXiv:1606.07424 [1] [2] [3]
๏Looks like the effect, whatever itD.D. Chinellato – 38th International Conference on High Energy Physics
P e t e r S k a n d s
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๏Higgs-type Lagrangians → Vortex Lines → String ModelsM o n a s h U n i v e r s i t y
Mrenna & Skands, arXiv:1605.08352 Giele, Kosower, Skands PRD84 (2011) 054003 Bellm, Plätzer, Richardson, Siodmok, Webster 1605.08256 Bothmann, Schönherr, Schumann 1606.08753
+ Partnerships: Warwick Alliance, MCnet, CoEPP
New joint research program with Warwick ATLAS, on developing and testing advanced colllider-QCD
Monash + exchange to UK/CERN.
See: arXiv:1603.05298
MCnet is an EU Marie Curie Training Network (ITN)
Sherpa). Funded for Horizon 2020! Starting in 2017 with Monash an associate partner
P e t e r S k a n d s
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M o n a s h U n i v e r s i t y
|< 0.5 η |
〉 η /d
ch
N d 〈
10
Baryon to meson ratio
0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45
PYTHIA8 DIPSY EPOS LHC ALICE = 7 TeV s pp, = 5.02 TeV
NN
s p-Pb, 2) × ( π p/
S
/K Λ
D.D. Chinellato – 38th International Conference on High
|< 0.5 η |
〉 η /d
ch
N d 〈
10
2
10
3
10
)
+
π +
−
π Ratio of yields to (
3 −
10
2 −
10
1 −
10
16) × (
+
Ω +
−
Ω 6) × (
+
Ξ +
−
Ξ 2) × ( Λ + Λ
S
2K ALICE = 7 TeV s pp, = 5.02 TeV
NN
s p-Pb, = 2.76 TeV
NN
s Pb-Pb,
PYTHIA8 DIPSY EPOS LHC ALICE, arXiv:1606.07424
S
2K 2) × ( Λ + Λ 6) × (
+
Ξ +
−
Ξ 16) × (
+
Ω +
−
Ω [1] [2] [3]
D.D. Chinellato – 38th International Conference on High Energy Physics
E
(sss)
F
(dss)
G
(uds)
H
(uud)
f
P e t e r S k a n d s
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๏Including K* and protonsM o n a s h U n i v e r s i t y
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M o n a s h U n i v e r s i t y 0.1 1 10
Ratio to INEL>0
2 3 4 5 6 7 8 9 10
(I)
=7 TeV s ALICE Preliminary, pp at V0M Multiplicity Classes
+
+
π
+
K p p+ Λ + Λ
+
Ξ +
* K K*+
) c (GeV/
T
p
0.1 1 10 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
(IX)
ALI−PREL−109358
t
1 10
)
+
+
π ) / ( p (p +
0.2 0.4 0.6 0.8 1
= 7 TeV s ALICE Preliminary pp
= 21.3 〉 η /d
ch
dN 〈 V0M Class I, = 2.3 〉 η /d
ch
dN 〈 V0M Class X, (V0M Multiplicity Classes)
0.2 0.4 0.6 0.8 1
ALI-PREL-110279
low-pT mid-pT high-pT
6-.//60 :;<=>2 ≈ A. 2
More pronounced for baryons than mesons
<dN/dη>=21.3 <dN/dη>~3?
quark antiquark gluon string motion in the event plane (without breakups)
Torbj¨
Status and Developments of Event Generators slide 5/28
quark antiquark gluon string motion in the event plane (without breakups)
Torbj¨
Status and Developments of Event Generators slide 5/28
P e t e r S k a n d s
37
M o n a s h U n i v e r s i t y
Pedagogical Review: B. Andersson, The Lund model. Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol., 1997.
Schwinger Effect + ÷ Non-perturbative creation
external Electric field
e- e+
P ∝ exp ✓−m2 − p2
⊥
κ/π ◆
Probability from Tunneling Factor
(κ is the string tension equivalent)
๏In “unquenched” QCD→ Gaussian pT spectrum Heavier quarks suppressed. Prob(q=d,u,s,c) ≈ 1 : 1 : 0.2 : 10-11
String Breaks by Tunneling (Schwinger Type)
P e t e r S k a n d s
38
M o n a s h U n i v e r s i t y
๏In QCD, strings can (and do) break!Schwinger Effect + ÷ Non-perturbative creation
external Electric field
e- e+
P ∝ exp ✓−m2 − p2
⊥
κ/π ◆
Probability from Tunneling Factor
(κ is the string tension equivalent)
CANONICAL Hawking Radiation M
Non-perturbative creation
strong gravitational field
HORIZON HORIZON
Thermal (Boltzmann) Factor
P ∝ exp ✓ −E kBTH ◆
Linear Energy Exponent
ALTERNATIVE? 1) 2)
P e t e r S k a n d s
39
๏Simple example:measurement, ΔMW ~ 40 MeV
M o n a s h U n i v e r s i t y
See Christiansen & Skands and references therein, JHEP 1508 (2015) 003
3 ⊗ ¯ 3 = 8 ⊕ 1 3 ⊗ 3 = 6 ⊕ ¯ 3 3 ⊗ 8 = 15 ⊕ 6 ⊕ 3 8 ⊗ 8 = 27 ⊕ 10 ⊕ 10 ⊕ 8 ⊕ 8 ⊕ 1