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Measurement of F 2 and F L at low Q 2 in ep Interactions at HERA  H1 and ZEUS analyses at low Q 2  Extraction of F L  Summary and Outlook Tomáš Laštovička.

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Presentation on theme: "Measurement of F 2 and F L at low Q 2 in ep Interactions at HERA  H1 and ZEUS analyses at low Q 2  Extraction of F L  Summary and Outlook Tomáš Laštovička."— Presentation transcript:

1 Measurement of F 2 and F L at low Q 2 in ep Interactions at HERA  H1 and ZEUS analyses at low Q 2  Extraction of F L  Summary and Outlook Tomáš Laštovička DESY Zeuthen, Charles University Prague EPS 2003, Aachen,

2 Tomáš LaštovičkaEPS 2003, Aachen /12 Kinematic plane coverage  Precision H1 inclusive data cover the transition region between perturbative and non-perturbative domains (Q 2 ~ 1GeV 2 ), in wide range of x and y  Focus on new low Q 2 data in this presentation (high Q 2 results presented by M. Moritz)  H1 Compton analysis covers region of high x  ZEUS ISR analysis is focused on F L at low Q 2 and y HERA ~ ! NEW !

3 Tomáš LaštovičkaEPS 2003, Aachen /12 F 2 from Compton analysis (H1)  F 2 at very high x accessed; domain of fixed target experiments  Complemenary measurement to inclusive DIS  e + p → e + p + X  kinematics reconstructed with hadrons → detailed final state simulation at low W 2  Luminosity: 9.25 pb -1 (Sophia MC)

4 Tomáš LaštovičkaEPS 2003, Aachen /12 Access to very low Q 2 by shifting vertex  High precision reconstruction: Δθ = 0.3 mrad, ΔE = 0.3% at beam energy  Shifting vertex opens detector acceptance at low Q 2 Backward Silicon Tracker Shifted vertex Spaghetti Calorimeter e+e+ p Nominal vertex ~70cm

5 Tomáš LaštovičkaEPS 2003, Aachen /12 Inclusive low Q 2 cross-sections (H1)  High precision cross section measurements (errors 2-3% in bulk region)  Wide range of inelasticity y: < y < 0.89  Backward silicon detector allows access to both high y and low y regions Q 2 = 12 GeV 2

6 Tomáš LaštovičkaEPS 2003, Aachen /12 Rise of F 2 towards low x  H1 / ZEUS / NMC data used to fit Q 2 dependencies for x < 0.01 :  λ(Q 2 ) ~ ln[Q 2 /Λ 2 ] and c(Q 2 ) ~ const. for Q 2 > 3.5 GeV 2  Behaviour is changing at around Q 2 = 1GeV 2  From soft hadronic interactions it is expected that λ → ~0.08 for Q 2 → 0

7 Tomáš LaštovičkaEPS 2003, Aachen /12  Neglects F L variation in narrow x range  The whole x-range of measured data is used to fit F 2 and F L, i.e. no extrapolation of F 2, use of full information → smaller errors New F L determination with ‘shape method’  Shape of σ r at high y is driven by kinematic factor y 2 /Y + rather than by F L behaviour Fit in Q 2 bins:

8 Tomáš LaštovičkaEPS 2003, Aachen /12 F L determination from low Q 2,x H1 data  F L was for the first time extracted at very low Q 2 ~ 1 GeV 2  It is clearly non-zero

9 Tomáš LaštovičkaEPS 2003, Aachen /12 F L determination from low Q 2,x H1 data  Requires to measure the x-dependence of F L

10 Tomáš LaštovičkaEPS 2003, Aachen /12 F L determination from H1 data  H1 NLO QCD fit is consistent with data in the DIS region  MRST NLO QCD fit too low at low Q 2  GBW saturation dipole model describes the whole range  BKS model is steeper but still consistent with the data

11 Tomáš LaštovičkaEPS 2003, Aachen /12 F L determination from ISR (ZEUS)  ISR (Initial State Radiation) changes s → shifts high y (F L sensitive) region to higher x.  Ratio N data /N MC(F L =0) analysed → F L  First direct determination of F L from ISR; result is consistent with QCD y ISR = Q 2 = GeV 2

12 Tomáš LaštovičkaEPS 2003, Aachen /12 Summary and Outlook  F 2 was measured at high x, low Q 2 with Compton events  H1 has obtained precision cross section data at low Q 2 in the transition region from non-perturbative to deep inelastic domain  Rise of F 2 was studied; rate is changing at about Q 2 ~ 1GeV 2  H1 F L data cover range 0.75 < Q 2 < 800 GeV 2  New low Q 2 F L data show F L >0 and discriminate models  F L was extracted for the first time with ISR events by ZEUS  Precision data on F L are crucial and require low proton energy ep runs in the future to measure the x-dependence

13 Tomáš LaštovičkaEPS 2003, Aachen /12 New F L determination with ‘shape method’ Shape of σ r at high y is driven by kinematic factor y 2 /Y + rather than by F L behaviour itself One F L point per one Q 2 bin extracted Neglects F L variation in narrow x range Fit in Q 2 bins: F L extracted at, weight = y 2 /(Y + σ i 2 ) Method makes use of the whole x-range of measured data to fit F 2 and F L, i.e. no extrapolation of F 2, use of full information → smaller errors λ is in good agreement with previous measurements Excellent description of σ r by ‘shape’ fits in the whole kinematic region


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