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1 1 Measurement of F c c and F b b at Low and High Q at H1 Tatsiana Klimkovich DESY, FLC, H1

2 Contents Heavy Flavour Production in Perturbative QCD H1 Experiment at HERA Motivation for the Analysis Inclusive Method of Heavy Quark Measurement using simple c- and b-tagging Measurement of F c c and F b b at Low and High Q

3 3 Kinematics of ep Collisions e ± (k) Neutral Current e ± (k ) Lorentz-Invariant Variables: Gauge Boson s Virtuality: transfered momontum from e to p γ, Z (q) X p (p) Charged Current e ± (k) ( ν e ) (k ) Q := q = (k k ), Q 0 Bjørken Scaling Variable: fraction of proton s momentum carried by the interacting parton x := Q P q 0 x 1 Relative energy transfer at the positronboson vertex in the proton rest frame: W ± (q) y := P q P k 0 y 1 p (p) X Q = xys

4 4 Kinematic Regions 1. Photoproduction (γp): Q < 1 GeV Dominant process - exchange of quasireal photons. Low Q Deep Inelastic Scattering (DIS): 1 GeV < Q < 0 GeV Main kinematic regime at HERA for the investigation of the structure of the Kinematics of ep Collisions proton. Dominant process - photon exchange 3. High Q DIS: Q >0 GeV Contribution of Z and W ± exchange Important measurements of proton structure functions for the LHC

5 5 Heavy Flavour Production in Deep Inelastic Scattering Q M HQ Massive scheme Fixed Flavour Number Scheme (FFNS) LO Process: PGF process Q M HQ Massless scheme Zero Mass Variable Flavour Number Scheme (ZM-VFNS) LO Process: QPM process (flavour excitation) Quarks are treated like massive = do not contribute to proton structure function Quarks are treated like massless partons = contribute to proton structure function Do not give reliable description over the whole Q range = Variable FNS: Interpolate between massive and massless schemes avoiding double counting etc. ACOT(CTEQ), MRST Treat properly threshold effects Q M HQ

6 6 H1 Detector p 90 GeV e 7.5 GeV e + p NC 99/000 HERA-I data L 57.4 pb 1 s = 4Ee E p = 318 GeV

7 7 H1 Central Silicon Tracker Consists of two cylindrical layers of double-sided silicon strip detectors surrounding the beam pipe at radii of 5.7 cm and 9.7 cm Covers angular range 30 < θ < 150 Hit resolution: 1 µm in rφ 5 µm in z For CJC tracks with CST hist in both layers DCA resolution in xy plane: 33µm 90µm p T [GeV] The efficiency to link CST hits to a CTD track: 76%

8 8 Motivation for Analysis Aim: to make a measurement of charm and beauty in transition region Q M HQ : 6.3 < Q < 10 GeV in high Q region: Q > 1 GeV Existing Methods: D µ } exclusive methods explicit reconstruction of secondary vertex } Statistically limited! Model dependent extrapolations of exclusive methods: in D analysis extrapolation factors vary from 4.7 to 1.5 in p T and η decreasing with increasing Q = Inclusive method: use CST-improved impact parameter for all tracks Method is based on lifetime information of heavy hadrons Aim to be as inclusive as possible and keep size of extrapolations in p T, η to minimum Fraction of b falls at low Q = experimentally challenging

9 9 Motivation for the Analysis Higgs Production via Quark Fusion at the LHC SM cross section is small due to low Yukawa coupling Can be enhanced in MSSM (h, H, A, H ± ) = knowledge of beauty PDF at the scale Q = m H / or Q = m H /4 is important! This is high Q region at HERA Low Q : measurement of c and b PDFs are important to check the validity of the theoretical descriptions of heavy quark production around the threshold region Q M HQ

10 Technique Look at signed DCA (Distance of Closest Approach Impact Parameter δ) for all tracks with precise measurement from Central Silicon Tracker (CST) rφ plane The sign is infered from a quark axis approximating the flight direction of the decaying hadron Events with secondary vertex decays from heavy flavour particles will have large positive impact parameter w.r.t. primary vertex Light flavour primary decays will have small negative and positive impact parameter due to resolution effects

11 11 Data and Monte Carlo Samples (low Q ) We work with e + p neutral current events, 99/000 HERA-I Data, L 57.4 pb 1, 1.5M events after selection, factor larger than High Q! Monte Carlo: Sample Program Fragmentation L [pb 1 ] uds DJANGO LUND 90 c c RAPGAP LUND 16.9 b b RAPGAP LUND c c RAPGAP Peterson b b RAPGAP Peterson c c CASCADE LUND 14.6 b b CASCADE LUND γp PHOJET LUND.576

12 1 e + in SpaCal We require: 6.3 < Q < 10 GeV y eσ > 0.07 y e < 0.63 for Q < 18 GeV y e < 0.7 for Q > 18 GeV Event Selection Low Q Event in H1 detector -0 cm < z vertex < 0 cm i (E i p z,i ) > 35 GeV (against γp and ISR) R e < 4 cm 0 < R BDC SP ACAL <.5 cm Inclusive Triggers High Q : Q > 1 GeV, e + in LAr

13 13 Track Acceptance (low Q ) Acceptance for a charged track from c, b hadrons to be in CST acceptance (30 < θ < 150, p T > 0.5 GeV) and generated z-vertex within ±0 cm c quarks b quarks x log Track Acceptance for c Quarks y = 0.07 y = max log Q x log Track Acceptance for b Quarks y = 0.07 y = max log Q Acceptance for c is 68% 89% Bin centres from measured F Acceptance for b is 93% 99% y max = 0.65 for Q < GeV y max = 0.7 for Q > GeV

14 14 CST Track Selection p T of Tracks Track reconstruction imrovement: CJC tracks are linked to CST hits (CST tracks) Entries per 0.1 GeV 5 4 Total MC uds c b N CST > 1 Prob link > 0.1 p T > 500 MeV R start < 50 cm L track > cm -18 < z CST hits < 18 cm o Entries per p T Track / GeV θ of Tracks Total MC uds c b o θ Track /

15 15 Quark Axis Description Highest p T jet axis Quark axis is given by: inclusive k T algorithm in the lab. frame p T >.5 GeV 15 < θ < % of matched track-jet events for c 95% of matched track-jet events for b ( > 97% at high Q ) If we don t have jets: Quark axis is approximated by 180 φ elec

16 16 DCA and Significance Tracks matched to quark axis within φ < π/ For matched tracks, plot DCA to primary vertex in rφ plane (δ) Tracks required to have δ < 1 mm (remove e.g. K 0 contribution). Significance of each track given by S i = δ σ(δ) DCA Significance Tracks 6 Total MC 5 4 uds c b Tracks Total MC uds c b δ / cm S i Scale factors to the MC distributions are applied

17 17 Significance (S i ) Definition Events 6 5 Total MC uds c b 5 Total MC S 1 4 uds c b S Events S 1 S Events 4 3 Total MC uds c b S 3 At low Q, beauty fraction is smaller. Need to do more to separate b and c Define three distributions: S 1 highest significance track S nd highest significance track with same sign as S 1 S 3 3rd highest significance track with same sign S 3 as S 1 and S

18 18 Subtracted Significance (S i ) Subtract the negative S i bins from the positive for both data and MC to reduce sensitivity to resolution of light quarks ) ) - n( -S 1 n( S S 1 Total MC uds c b ) n( S 3 ) - n( -S 3 4 Total MC 3 S uds c b S S 3 ) ) - n( -S n( S 4 3 S 3 Total MC uds c b For each x Q bin make a simultaneous fit to S i and total number of inclusive events before CST track selection with 3 parameters: MC scale factor c - P c MC scale factor b - P b S MC scale factor uds - P l

19 19 Fit results: P c = 1.8 ± 0.04, P b = 1.55 ± 0.16, P l = 0.95 ± 0.01 Structure Function Extraction Reduced cross section: σ c c (x, Q ) = σ(x, Q ) P c N MCgen c P c N MCgen c + P b N MCgen b + P l N MCgen l The differential c cross section is calculated from σ c c (x, Q ) as d σ c c dx dq = σc c (x, Q ) πα (1 + (1 y) ) dσc c = f c c /dxdq = xq 4 dσ/dxdq The structure function F c c F c c L d σ c c is then evaluated from the expression dx dq = πα xq 4 [(1 + (1 y) )F c c y F c c L ] is estimated from the NLO QCD expectation

20 0 Systematic Errors (low Q ) source uncertainty error error c c / % b b / % Track efficiency ±.3 (% CJC, 1% CST) DCA resolution ±5µm (±00µm tails) s asymmetry 50% uncertainty Fragmentation LUND / Peterson QCD model Rapgap/CASCADE Structure function Reweight B Multiplicity LEP / SLD D Multiplicity MARKIII Hadronic Energy Scale 4% Quark Axis o (5 o ) shift Total

21 1 DCA resolution for S 1 Most effects in DCA come from the description of the MC of the internal alignment/resolution of the CST 95% of events smeared by 5 µm, 5% of events smeared by 00 µm Events Monte Carlo Events Smeared MC S S 1 Normalised MC before (after) smearing black (red)

22 DCA resolution for S Events Events S S

23 3 DCA resolution for S 3 Events Events S S 3

24 4 Can contribute to systematic errors Description of Light Quark Multiplicity CST Tracks per Event (events after track-jet association) High Q Low Q Entries per bin 6 Total MC 5 uds c b 4 Events Total MC uds c b Number of CST tracks Number of CST tracks uds MC: Rapgap c c, b b MC: Rapgap uds MC: Django c c, b b MC: Rapgap

25 5 Light quark asymmetry Enhance strangeness by looking at events with tracks both with 0.1 < DCA < 0.5 cm. Clear K 0 peak. Reasonable agreement after background subtraction. Events Total MC uds Events c b 50 Total Monte Carlo MC Error band ± 50% of uds track Mass /GeV track Mass /GeV Uncertainty of ±50%

26 6 Reduced Cross Section σ c c σ cc _ 0.6 Q = 1 GeV Q = 5 GeV 0.4 σ c c Consistent results with H1 and ZEUS D measurements Consistent with pqcd predictions Q = 60 GeV Q = 00 GeV MRST04 - Variable FNS CTEQ6HQ - Variable FNS CCFM (Cascade) - Massive scheme Q = 650 GeV x x (High Q ) H1 D ZEUS D MRST04 CTEQ6HQ CCFM

27 7 Reduced Cross Section σ b b σ bb _ Q = 1 GeV Q = 5 GeV σ b b First measurement of σ b b Consistent with pqcd predictions MRST04 describes the data best Q = 60 GeV Q = 00 GeV MRST04 - Variable FNS CTEQ6HQ - Variable FNS CCFM (Cascade) - Massive scheme Q = 650 GeV x (High Q ) MRST04 CTEQ6HQ CCFM x

28 F c c vs Q F b b vs Q 8 _ F cc 4 i x=0.000 i=5 x= i=4 _ F bb 8 i x=0.000 i=5 x= i=4 x=0.00 i=3 x=0.00 i=3 x=0.005 i= 1 x=0.005 i= 1-1 (High Q ) H1 D ZEUS D MRST04 MRST NNLO CTEQ6HQ x=0.013 i=1 x=0.03 i=0-1 - (High Q ) MRST04 MRST NNLO CTEQ6HQ x=0.013 i=1 x=0.03 i=0-1 3 Q /GeV -3 3 Q /GeV

29 9 f qq_ f cc_ f bb_ -1 x = x = Contribution to σ: f q q = dσq q /dxdq dσ/dxdq c and b fractions fall towards low Q b fraction falls by a larger amount MRST04 f cc_ MRST04 f bb _ -1 x = 0.00 x = MRST04 - Variable FNS -1 x = x = 0.03 (High Q ) f cc _ f bb _ - 3 Q / GeV 3 Q / GeV

30 30 Data vs Theory for σ b b σ bb_ / σ bb_ NLO QCD H1 F bb _ H1 F bb _ (high Q ) Impact Parameter (low Q ) Impact Parameter 1 QCD NLO (VFNS) QCD NLO (massive) 0 Q [GeV ]

31 31 Conclusions The first measurement of F b b in the low and high Q kinematic regime Good description by predictions of perturbative QCD calculations First measurement of F b b 4% of charm and 0.8% of beauty contribution to the total ep cross section at low Q 18% of charm and.7% of beauty contribution to the total ep cross section at high Q

32 3 Outlook Increased statistics using HERA II data Single and di-jet cross section measurements using b-tagged jets with increased statistics. = Basis to test models relevant for heavy quark jet production at the LHC

33 33 HERA is taking lumi... till 007 INTEGRATED LUMINOSITY ( )

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