ZEUS Novosibirsk, Russia 15-19 June, 2015 O U T L I N E - - PowerPoint PPT Presentation
ZEUS Novosibirsk, Russia 15-19 June, 2015 O U T L I N E - - PowerPoint PPT Presentation
Heavy flavour production at HERA Uri Karshon Weizmann Institute of Science, ISRAEL On behalf of the H1 and ZEUS Collaborations PHOTON-2015 Conference Budker Institute of Nuclear Physics, ZEUS Novosibirsk, Russia 15-19 June, 2015 O U T L I N
Introduction and experimental set-up
e+ (k') e+ (k) proton (P) g (xgP) γ* (q) c c
_
W2
e±(k) + p(P) → e±(k′) + X; s = (P + k)2 Photon virtuality: Q2 = −q2 = −(k − k‘)2 Bjorken x: x =
Q2 2q·P ;
Inelasticity: y = q·P
k·P
Q2 = sxy; W = γ∗p CM energy Photoproduction (PHP): Q2 ≃ 0 GeV 2 (e± undetected) Deep Inelastic Scattering (DIS): Q2 > 1 or 5 GeV 2 (e± detected) BGF: Dominant process for c,b production in DIS Direct probe of gluon density in proton; Sensitivity to c,b quark masses
HERA
- PETRA
DORIS HASYLAB
DESY
Halle NORD (H1) Hall NORTH (H1) Halle OST (HERMES) Hall EAST (HERMES) Halle SÜD (ZEUS) Hall SOUTH (ZEUS) Halle WEST (HERA-B) Hall WEST (HERA-B)
Elektronen / Positronen Electrons / Positrons Protonen Protons
- Synchrotronstrahlung
Synchrotron Radiation
Hall nord (H1) Hall ouest (HERA-B) Hall est (HERMES)
Rayonnement Synchrotron
Hall sud (ZEUS)
Electrons / Positons
- Protons
- HERA: unique e±p collider with E(e±, p) = 27.6, 820/920 GeV
2 main experiments: H1, ZEUS 2 run periods: HERA I, HERA II 1995-2000 2003-2007 √s 318 (300) 318 GeV L 1.5 · 1031 7 · 1031 cm−2 s−1 Lint 126 373 pb−1 HERA II data taken ≈ half e+p and half e−p In 2007 two short runs at lower p energies: Ep = 575 GeV; Ep = 460 GeV
Heavy Flavour production at HERA
- U. Karshon
2
Theory of heavy quark production
Several QCD NLO schemes for heavy quark (Q=c or b) production: 1)Massive scheme: Q2 ≈ m2
Q Fixed flavour number scheme (FFNS)
- 3 active flavours in proton; Q-quark not considered as parton in p
- c or b produced perturbatively in hard scattering (see p.2)
- Mass effects correctly included
- Spoiled by large logs of Q2/m2
Q, pt/mQ...
2)Massless scheme: Q2 >> m2
Q
Zero-mass variable flavour number scheme (ZM-VFNS)
- c or b treated as massless parton
- Resummation of large logarithms of Q2/m2
Q
- ⇒ c or b density added as 4th flavour like the light quarks
At intermediate Q2 the 2 schemes should be merged 3) General-mass variable flavour number scheme (GM-VFNS)
- Equivalent to FFNS for Q2 ≤ m2
Q and to ZM-VFNS for Q2 > m2 Q
- Interpolation in between (various schemes interpolate differently)
- Used in parton density function (PDF) fits (useful at LHC)
Heavy Flavour production at HERA
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3
D∗± photoproduction at 3 CM energies
Clear D∗± signals seen in M(K−π+π+
s ) − M(K−π+) distributions
at 3 different CM energies: √s = 318, 251, 225 GeV in the kinematic region: 1.9 < pD∗
T
< 20 GeV ; |ηD∗| < 1.6 ; Q2 < 1 GeV2 ; 0.167 < y < 0.802 JHEP 10 (2014) 003 HER: L = 144 pb−1 MER: L = 6.3 pb−1 LER: L = 13.4 pb−1
) (GeV) π )-M(K
s
π π M(K 0.14 0.145 0.15 0.155 0.16 0.165 0.17 Entries 1000 2000 3000 4000 5000 6000
ZEUS
s
π π K → D*
= 318 GeV) s (
- 1
ZEUS 144 pb Wrong-sign combinations Signal region Background fit (correct-sign) Background fit (wrong-sign)
ZEUS
) (GeV) π )-M(K
s
π π M(K 0.14 0.145 0.15 0.155 0.16 0.165 0.17 Entries 20 40 60 80 100 120 140 160 180 200 220 240
ZEUS
s
π π K → D*
= 251 GeV) s (
- 1
ZEUS 6.3 pb Wrong-sign combinations Signal region Background fit (correct-sign) Background fit (wrong-sign)
ZEUS
) (GeV) π )-M(K
s
π π M(K 0.14 0.145 0.15 0.155 0.16 0.165 0.17 Entries 50 100 150 200 250 300 350 400
ZEUS
s
π π K → D*
= 225 GeV) s (
- 1
ZEUS 13.4 pb Wrong-sign combinations Signal region Background fit (correct-sign) Background fit (wrong-sign)
ZEUS
N(D∗) = 12256 ± 191 N(D∗) = 417 ± 37 N(D∗) = 859 ± 49 Background estimated by fitting simultaneously correct- and wrong-sign distributions in the range ∆M < 0.168 GeV
Heavy Flavour production at HERA
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4
D∗± photoproduction at 3 CM energies Visible D∗ PHP cross sections obtained from: σvis(D∗) = Ndata(D∗)
A·BR·L
BR = B(D∗ → D0π) · B(D0 → Kπ) = 0.0263; A = acceptance Ratio of visible cross sections: Rσ =
σi σHER; i = HER, MER, LER
yields higher precision of E-dependence of cross section since some syst. uncertainties in data and theory cancel Data compared to FFNS NLO predictions:
(GeV) s
240 260 280 300 320
σ
R
0.2 0.4 0.6 0.8 1 1.2
ZEUS
0.167 < y < 0.802 < 20 GeV
D* T
1.9 < p | < 1.6
D*
η |
2
< 1 GeV
2
Q = 〉 W 〈 136 GeV 152 GeV 192 GeV D* X → ZEUS ep NLO QCD
Total syst. uncertainty ≈ 5% in data few % in theory < W > = mean W from generated MC MER/LER cross sections similar HER cross section higher Cross sections increase with increasing ep CM energy This increase is predicted by NLO QCD
Heavy Flavour production at HERA
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5
Charm fragmentation fractions in PHP
Fragmentation fractions of c-quarks into charm hadrons: Probability of c quark to hadronise into a given charm hadron
f(c → charm hadron) = σ(charm hadron)/σ(total charm production)
Needed to go from partonic QCD to hadronic cross sections No QCD predictions; crucial to compare pQCD with measurements Are they the same for c-quarks produced in e+e−, ep, pp collisions ? Test fragmentation universality by measuring all of them Measurements performed in PHP regime: Q2 < 1 GeV2 Charm hadrons reconstructed in the range: pT > 3.8 GeV, |η| < 1.6, 130 < W < 300 GeV Charm hadrons measured: D0 → K−π+, D+ → K−π+π+ D∗+ → D0π+
s → K−π+π+ s
D+
s → φπ+,
Λ+
c → K−pπ+
σtot = σeq(D0) + σeq(D+) + σ(D+
s ) + 1.14 σ(Λ+ c )
Full HERA II data: 372 pb−1 JHEP 09 (2013) 058
Heavy Flavour production at HERA
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6
Charm fragmentation fractions in PHP Silicon-strip detector used for charm vertices ⇒ Clear charm hadron signals for all channals
Charm fragmentation fractions 0.1 0.2 0.3 0.4 0.5 0.6 0.7
p γ ZEUS HERA II p γ ZEUS HERA I ep DIS ZEUS HERA I ep DIS H1
- e
+
e
) D → f (c )
+
D → f (c )
+
D* → f (c )
s
D → f (c )
c
Λ → f (c
Charm fragmentation fractions: Results (left column) in good agreement with previous results:
ZEUS PHP, ZEUS DIS, H1 DIS, e−e−
Precision of charm f.f. competitive with combined e+e− LEP results Fragmentation fractions of c-quarks independent of production Support hypothesis of universality of heavy-quark fragmentation Universality supported also by new LHC pp data (ALICE + LHCb)
Heavy Flavour production at HERA
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D± production in DIS
)
2
(GeV
2
Q
10
2
10
3
10
)
2
(nb/GeV
2
/dQ σ d
- 4
10
- 3
10
- 2
10
- 1
10 1
- 1
354 pb
+
ZEUS D
- 1
133.6 pb
+
ZEUS D HVQDIS
ZEUS
y
0.1 0.2 0.3 0.4 0.5 0.6 0.7
/dy (nb) σ d
2 4 6 8 10 12 14 16 18 20
- 1
354 pb
+
ZEUS D HVQDIS
ZEUS
) (GeV) π π M(K 1.7 1.75 1.8 1.85 1.9 1.95 2 2.05 2.1 Combinations / 10 MeV 500 1000 1500 2000 2500 3000 3500 4000 4500
ZEUS
- 1
354 pb
+ZEUS D + background
modGauss
) (GeV)
+
(D
T
p
2 3 4 5 6 7 8 9 10
) (nb/GeV)
+
(D
T
/dp σ d
- 2
10
- 1
10 1
- 1
354 pb
+
ZEUS D
- 1
133.6 pb
+
ZEUS D HVQDIS
ZEUS
)
+
(D η
- 1.5
- 1
- 0.5
0.5 1 1.5
) (nb)
+
(D η /d σ d
0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4
- 1
354 pb
+
ZEUS D
- 1
133.6 pb
+
ZEUS D HVQDIS
ZEUS
Full HERA II data: 354 pb−1 JHEP 05 (2013) 023 Clean D+ signal N(D+) = 8356 ± 198 D+ differential cross sections w.r.t Q2, y, pT(D+), η(D+) in kinematic region 5 < Q2 < 1000 GeV2, 1.5 < pT(D+) < 15 GeV, |η(D+)| < 1.6, 0.02 < y < 0.7
NLO QCD predictions based on FFNS describe data well up to Q2 ≈ 1000 GeV2 Similar agreement for double differential cross sections dσ/dy for different Q2 ranges
Heavy Flavour production at HERA
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8
D± production in DIS
0.2 0.4 0.2 0.4 10
- 4
10
- 3
10
- 2
0.2 0.4 10
- 4
10
- 3
10
- 2
ZEUS
F2
cc
Q2 = 6.5 GeV2 Q2 = 20.4 GeV2 Q2 = 35 GeV2 Q2 = 60 GeV2
x
Q2 = 200 GeV2
x
ZEUS D+ 354 pb-1 ZEUS D* 81.9 pb-1 HERAPDF1.5 ZEUS-S PDF
Charm contribution to proton structure function: Express double differential cross section as:
d2σc¯
c
dxdQ2 = 2πα2 xQ4 [(1 + (1 − y)2)F c¯ c 2 − y2F c¯ c L ]
F c¯
c 2 , F c¯ c L are charm contributions to
proton structure functions F2 and FL dσ/dy for different Q2 bins used to extract F c¯
c 2
at reference points xi, Q2
i for each bin i using
F c¯
c 2,meas(xi, Q2 i) = σi,meas F c¯
c 2,theo(xi,Q2 i )
σi,theo
F2,theo and σi,theo calculated at NLO in FFNS with HVQDIS program D± results compared to previous ZEUS D∗ results and to predictions of GM-VFNS based on HERAPDF1.5 parton densities and of FFNS based on ZEUS-S PDF HERAPDF1.5 uses HERA ep data to provide NLO predictions compatible with other PDF groups
The NLO calculations describe new precise data well
Heavy Flavour production at HERA
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9
HERA charm data combination in DIS
Combined 9 data sets of D∗, D+, D0, µ and liftime tag data with 155 H1 and ZEUS cross section measurements from various HERA I and HERA II analyses EPJ C73 (2013) 2311
Charm reduced cross section, σc¯
c red, obtained in kinematic range:
2.5 < Q2 < 2000 GeV2; 3 · 10−5 < x < 5 · 10−2
d2σc¯
c
dxdQ2 = 2πα2 xQ4 [(1 + (1 − y)2)σc¯ c red]
Q2=18 GeV2 HERA
H1 and ZEUS
H1 VTX H1 D* HERA-II H1 D* HERA-I ZEUS c → µ X ZEUS D* 98-00 ZEUS D* 96-97 ZEUS D0 ZEUS D+
x σ
red cc _
10-3 10-2 0.2 0.4 0.6
Reduced cross sections σc¯
c red
as function of x for fixed Q2 values: Example for Q2 = 18 GeV2 Combined results - filled circles Correlated systematics fully taken into account Combined results uncertainty ≈ factor 2
better than each most precise data set in the combination
Heavy Flavour production at HERA
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10
HERA charm data combination in DIS How well does the mixed massive-massless scheme GM-VFNS work? Reduced cross sections σc¯
c red as function of x for fixed Q2 values
0.2
2
=2.5 GeV
2
Q 0.2
2
= 5 GeV
2
Q 0.2
2
= 7 GeV
2
Q 0.5
2
=12 GeV
2
Q 0.5
2
=18 GeV
2
Q 0.5
2
=32 GeV
2
Q 0.5
2
=60 GeV
2
Q 0.5
2
=120 GeV
2
Q 0.5
2
=200 GeV
2
Q 0.5
2
=350 GeV
2
Q 0.5
2
=650 GeV
2
Q 0.5
2
=2000 GeV
2
Q red c c
σ
0.2 0.5 0.5 0.5
- 4
10
- 3
10
- 2
10
- 4
10
- 3
10
- 2
10
x
- 4
10
- 3
10
- 2
10
HERA HERAPDF1.5
H1 and ZEUS
Combined inclusive DIS data (HERA I+II) compared to NLO predictions based
- n HERAPDF1.5 extracted in
RT standard scheme Lines are predictions with Mc = 1.4 GeV Mc = effective (not physical) mass parameter in GM-VFNS Large theory uncertainty dominated by Mc variation Within uncertainties NLO GM-VFNS describe data well
Heavy Flavour production at HERA
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11
HERA charm data combination in DIS
Combined NLO analysis with σc¯
c red and inclusive DIS cross sections
in kinematic range:
W > 15 GeV, x < 0.65, Q2 > 3.5 GeV2
For each HFL scheme, PDF fits performed with 1.2 < Mc < 1.8 GeV χ2 values vs. Mc from PDF fits for various HFL schemes VFNS predictions for σc¯
c red with
Mc = 1.4 GeV (up) and Mc = M opt
c
(down)
[GeV]
c
M
1.2 1.4 1.6 1.8
)
c
(M
2
χ
600 650 700 750
RT standard RT optimised ACOT-full χ S-ACOT- ZM-VFNS
- pt
C
M
H1 and ZEUS
Charm + HERA-I inclusive
Minimal χ2 values observed for each scheme at different M opt
c
Data described much better with M opt
c
than with fixed Mc Predictions of all schemes are very similar for Q2 ≥ 5 GeV2
Heavy Flavour production at HERA
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12
HERA charm data combination in DIS Implications on NLO predictions for W, Z production at LHC W +, W −, Z0 cross section predictions for LHC at √s = 7 TeV Calculated for each scheme for 1.2 < Mc < 1.8 GeV in 0.1 GeV steps
[GeV]
c
M 1.2 1.4 1.6 1.8
[nb]
+
W
σ
54 56 58 60 62 64
- pt
C
M
RT standard RT optimised ACOT-full χ S-ACOT- ZM-VFNS
= 7 TeV s Charm + HERA-I inclusive
H1 and ZEUS [GeV]
c
M 1.2 1.4 1.6 1.8
[nb]
- W
σ
38 40 42 44
- pt
C
M
RT standard RT optimised ACOT-full χ S-ACOT- ZM-VFNS
= 7 TeV s Charm + HERA-I inclusive
H1 and ZEUS [GeV]
c
M 1.2 1.4 1.6 1.8
[nb]
Z
σ
27 28 29 30 31 32
- pt
C
M
RT standard RT optimised ACOT-full χ S-ACOT- ZM-VFNS
= 7 TeV s Charm + HERA-I inclusive
H1 and ZEUS
All cross sections rise monotonically with Mc Significant spread of ≈ 6% between predictions for any fixed Mc Reduces to ≈ 1.4 − 2% when taking M opt
c
for each scheme
Heavy Flavour production at HERA
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13
HERA charm data combination in DIS Combined charm data vs. ABM FFNS prediction: Uses instead
- f pole mass the running mass definition in MS scheme
0.2 0.5 0.5 0.5
σ
red cc _
H1 and ZEUS
Q2=2.5 GeV2 Q2=5 GeV2 Q2=7 GeV2 Q2=12 GeV2 Q2=18 GeV2 Q2=32 GeV2 Q2=60 GeV2 Q2=120 GeV2 Q2=200 GeV2 Q2=350 GeV2
10-4 10-3 10-2
Q2=650 GeV2
10-4 10-3 10-2
Q2=2000 GeV2 HERA
ABM09NNLO MS
ABM09NLO MS
10-4 10-3 10-2
x
Data well described in full kinematic region Similar NLO/NNLO predictions Less sensitivity to higher order corrections)
mc(mc) extraction in MS scheme: Same minimisation procedure as for VFNS
) [GeV]
c
(m
c
m
1 1.2 1.4 1.6
2
χ
620 640 660 680 700
FF (ABM)
H1 and ZEUS
Charm + HERA-I inclusive 0.05 GeV ± )=1.26
c
(m
c
m
mc(mc) = 1.26 ± 0.05exp. ± 0.03mod. ±0.02param. ± 0.02αs GeV Uncertainties are experimental, model, parametrisation and αs Consistent with PDG: 1.275 ± 0.025 GeV
Heavy Flavour production at HERA
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14
HERA charm data combination in DIS Measurement of running mc
[GeV] µ
1 10
) [GeV]
c
(m
c
m
0.8 1 1.2 1.4 1.6 1.8 2
H1 and ZEUS preliminary
HERA (prel.) PDG with uncertainty
[GeV] µ
1 10
) [GeV] µ (
c
m
0.4 0.6 0.8 1 1.2 1.4 1.6
H1 and ZEUS preliminary
HERA (prel.) PDG with evolved uncertainty
Extract mc(mc) separately for 6 different kinematic ranges in µ =
- < Q2 > +4mc(mc)2
< Q2 > is the logarithmic average Q2
- f the subset
Red points at scale mc and bands are PDG average mc(mc) translated to mc(µ) by:
mc(µ) = mc(mc)
(αs(µ)
π
)β−1 (αs(mc)
π
)β−1
β0 = 9/4 for Nf = 3
Data consistent with expected QCD running First measurement of mc(µ) from combined HERA charm reduced cross section data Important consistency check, similar to running mb at LEP EPJ C55 (2008) 525
Heavy Flavour production at HERA
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15
Combination of D∗± differential cross sections in DIS
Combined H1+ZEUS D∗+ visible differential cross sections w.r.t pD∗
T , ηD∗
hep-ex 1503.06042; JHEP to be published
(D*) (nb/GeV)
T
/dp σ d
- 4
10
- 3
10
- 2
10
- 1
10 1 (D*) (GeV)
T
p 2 3 4 5 6 7 8 9 10 20 ratio to HERA 0.8 1 1.2
2
< 1000 GeV
2
5 < Q 0.02 < y < 0.7 (D*) > 1.5 GeV
T
p (D*)| < 1.5 η |
HERA H1 ZEUS
X H1 and ZEUS
±
eD* → ep
(D*) η
- 1.5
- 1
- 0.5
0.5 1 1.5 (D*) (nb) η /d σ d 1 2
2
< 1000 GeV
2
5 < Q 0.02 < y < 0.7 (D*) > 1.5 GeV
T
p (D*)| < 1.5 η |
HERA H1 ZEUS
X H1 and ZEUS
±
eD* → ep
Correlations in systematic uncertainties fully taken into account Impressive reduction of uncertainties in the combined results Precision of combined data ≈ 5% in large fraction of phase space Similar results and precision obtained for dσ/dQ2 and dσ/dy
Heavy Flavour production at HERA
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16
Combination of D∗± differential cross sections in DIS
Differential cross sections compared to NLO predictions: HVQDIS HVQDIS setup for ep → c¯ cX → D∗X uses some arbitrary variable definition e.g. µr = µf =
- Q2 + 4m2
c
; mpole
c
= 1.5 GeV Try to change parameters such that normalisation and shapes of all differential cross sections describe the data well Found this to happen with µr = 0.5
- Q2 + 4m2
c
; mpole
c
= 1.4 GeV and with some softening of the fragmantation function used (Kartvelishvili et al.) All other parameters left at default values The value of mpole
c
= 1.4 GeV was also found to describe better the data in the study of σc¯
c red (p.14)
”NLO QCD customised” shown as red dots in the following plots This is NOT a prediction, but may hint at which direction theory can be improved
Heavy Flavour production at HERA
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17
Combination of D∗± differential cross sections in DIS
HERA D∗+ differential cross sections w.r.t pD∗
T , ηD∗, Q2, y vs. theory (HVQDIS)
Negligible theoretical uncertainties in data points, since no extrapolation
(D*) (nb/GeV)
T
/dp σ d
- 4
10
- 3
10
- 2
10
- 1
10 1 (D*) (GeV)
T
p 2 3 4 5 6 7 8 9 10 20 ratio to HERA 0.6 0.8 1 1.2
HERA-II NLO QCD NLO QCD customised
±
D* → NLO QCD b
2
< 1000 GeV
2
5 < Q 0.02 < y < 0.7 (D*) > 1.5 GeV
T
p (D*)| < 1.5 η |
X H1 and ZEUS
±
eD* → ep
(D*) η
- 1.5
- 1
- 0.5
0.5 1 1.5 (D*) (nb) η /d σ d 1 2
HERA-II NLO QCD NLO QCD customised
±
D* → NLO QCD b
2
< 1000 GeV
2
5 < Q 0.02 < y < 0.7 (D*) > 1.5 GeV
T
p (D*)| < 1.5 η |
X H1 and ZEUS
±
eD* → ep
)
2
(nb/GeV
2
/dQ σ d
- 5
10
- 4
10
- 3
10
- 2
10
- 1
10 1 )
2
(GeV
2
Q 10
2
10
3
10 ratio to HERA 0.6 0.8 1 1.2 1.4
HERA-II NLO QCD NLO QCD customised
±
D* → NLO QCD b
2
< 1000 GeV
2
5 < Q 0.02 < y < 0.7 (D*) > 1.5 GeV
T
p (D*)| < 1.5 η |
X H1 and ZEUS
±
eD* → ep
y 0.1 0.2 0.3 0.4 0.5 0.6 0.7 /dy (nb) σ d 10 20
HERA-II NLO QCD NLO QCD customised
±
D* → NLO QCD b
2
< 1000 GeV
2
5 < Q 0.02 < y < 0.7 (D*) > 1.5 GeV
T
p (D*)| < 1.5 η |
X H1 and ZEUS
±
eD* → ep
Combined data reach precision of ≈ 5% NLO describe data within large uncertainties (≈ 10 − 30%) NLO customised describe data very well NNLO calculations and improved fragmentation models may help Similar conclusions for D∗ double-differential cross sections in Q2, y
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18
Beauty production in DIS
(GeV)
jet T
E
5 10 15 20 25 30 35 40
Entries
1 10
2
10
3
10
(GeV)
jet T
E
5 10 15 20 25 30 35 40
Entries
1 10
2
10
3
10
jet
η
- 1.5 -1 -0.5 0 0.5
1 1.5 2 2.5
Entries
100 200 300 400 500
jet
η
- 1.5 -1 -0.5 0 0.5
1 1.5 2 2.5
Entries
100 200 300 400 500
)
2
/GeV
2
(Q
10
log
0.5 1 1.5 2 2.5 3
Entries
50 100 150
)
2
/GeV
2
(Q
10
log
0.5 1 1.5 2 2.5 3
Entries
50 100 150
x
10
log
- 4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1
Entries
100 200 300
x
10
log
- 4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1
Entries
100 200 300
ZEUS
< 6 GeV, |S|>8
vtx
2 < m
- 1
ZEUS 354 pb Monte Carlo LF Charm Beauty
)
2
(GeV
2
Q
10
2
10
3
10
)
2
(pb / GeV
2
/ dQ σ d
- 2
10
- 1
10 1 10
2
10
- 1
ZEUS 354 pb
had
C × HVQDIS+ZEUS-S
had
C × HVQDIS+ABKM Rapgap x 1.49
ZEUS
e jet X → X b e b → ep )
2
(GeV
2
Q
10
2
10
3
10
Data / HVQDIS
0.5 1 1.5 2
′ ′ ′
x
- 4
10
- 3
10
- 2
10
- 1
10
/ dx (pb) σ d
3
10
4
10
5
10
6
10
7
10
- 1
ZEUS 354 pb
had
C × HVQDIS+ZEUS-S
had
C × HVQDIS+ABKM Rapgap x 1.49
ZEUS
e jet X → X b e b → ep x
- 4
10
- 3
10
- 2
10
- 1
10
Data / HVQDIS
0.5 1 1.5 2
′ ′ ′
JHEP 09 (2014) 127 Beauty cross section at HERA much smaller than charm With a micro-vertex detector at HERA II, lifetime information can be used Ejet
T , ηjet, Q2, x distributions of sec. vertices
for b-enriched sample with 2 < mvtx < 6 GeV and |S| = |d/δd| > 8 d=decay length Differential cross sections for inclusive jet production in b-events as function of Q2 and x Good description of the data by the NLO FFNS HVQDIS prediction
Heavy Flavour production at HERA
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Beauty production in DIS
)
2
(GeV
2
Q
10
2
10
3
10
+ 0.03 i
b b 2
F
0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0.22
- 1
ZEUS vtx 354 pb
- 1
ZEUS e 363 pb
- 1
114 pb µ ZEUS
- 1
+vtx 126 pb µ ZEUS
- 1
H1 vtx 246 pb HERAPDF 1.5 ABKM NNLO MSTW08 NLO MSTW08 NNLO CTEQ6.6 NLO JR09
x=0.032 i=0 x=0.013 i=1 x=0.005 i=2 x=0.002 i=3 x=0.0013 i=4 x=0.0005 i=5 x=0.0002 i=6 x=0.00013 i=7
- 3
0.005 0.01 0.015 0.02
- 3
0.005 0.01 0.015 0.02
- 3
0.005 0.01 0.015 0.02 0.02 0.04 0.02 0.04 0.02 0.04 0.01 0.02 0.03
x
- 4
10
- 3
10
- 2
10
x
- 4
10
- 3
10
- 2
10
x
- 4
10
- 3
10
- 2
10 b b r
σ
0.005 0.01 0.015 0.02 0.02 0.04 0.01 0.02 0.03
- 1
ZEUS 354 pb =4.07 GeV (best fit)
b
QCD fit, m =3.93 GeV
b
QCD fit, m =4.21 GeV
b
QCD fit, m
ZEUS
2
= 6.5 GeV
2
Q
2
= 12 GeV
2
Q
2
= 25 GeV
2
Q
2
= 30 GeV
2
Q
2
= 80 GeV
2
Q
2
= 160 GeV
2
Q
2
= 600 GeV
2
Q
Left: Structure function F b¯
b 2
as function of Q2 for fixed x values in good agreement with FFNS and GM-VFNS NLO and NNLO predictions Right: Reduced b cross section σb¯
b r as function of x for fixed Q2 values used
to determine b-quark mass in a QCD fit as done for the c-quark mass Lines are results with mb = 4.07 (best fit), 3.93 and 4.21 GeV
Sensitivity to mb comes mostly from low Q2
Heavy Flavour production at HERA
- U. Karshon
20
Beauty production in DIS
) (GeV)
b
(m
b
m 3.5 3.6 3.7 3.8 3.9 4 4.1 4.2 4.3 4.4 4.5 2
χ
586 588 590 592 594 596 598 600
ZEUS
Inclusive DIS + beauty QCD fit
mb(mb) = 4.07 ± 0.14(fit)+0.01
−0.07(mod.)+0.05 −0.00(param.)+0.08 −0.05(theo.) GeV
PDG: 4.18 ± 0.03 GeV from lattice QCD + time-like processes Extraction of mb(mb) from NLO FFNS fit using MS scheme Uncertainties are from fit, model, PDF parametrisation and theory mb(mb) translated, as for mc(mc), to mb(µ) with µ = 2mb and compared to PDG and LEP results
Mass running is consistent with QCD
Heavy Flavour production at HERA
- U. Karshon
21
Summary
H1 and ZEUS still providing new charm(ing) and beauty(full) results with full HERA data ⇒ tighter constraints on QCD σ(D∗) in PHP vs. ep CM energy measured for the first time at HERA. The D∗ cross sections increase with √s as predicted by NLO QCD New precise charm fragmentation fractions measurements in PHP competitive with e+e− collisions; support fragmentation universality New DIS charm measurements and HERA charm data combination provide constraints on PDFs and on QCD heavy quark calculations Most HERA DIS charm data were combined: Consistent data sets extracted using different methods; reduced uncertainties Data are well described by FFNS and GM-VFNS QCD predictions Optimal Mc parameter for different VFNS improves predictions of σW,Z at LHC Running charm mass in MS FFNS: mc(mc) = 1.26 ± 0.06 GeV agree with PDG First measurement of the charm-mass running at HERA Combination of D∗ visible cross sections: Negligible theory uncertainties (no extrapolation) Challenge to theory and fragmentation models New precise b-jet measurement + lifetime tag in DIS using secondary vertices: Data well described by NLO QCD b mass measured in MS scheme: mb(mb) = 4.07 ± 0.17 GeV agree with PDG b mass running consistent with QCD
Heavy Flavour production at HERA
- U. Karshon
22