IFAE-Barcelona
IFAE-Barcelona

Fermilab
Fermilab


Authors

Ray Culbertson (rlc@fnal.gov)

Sebastian Grinstein (gris@fnal.gov)

Mario Martinez (mmp@fnal.gov)

Shin Shan Yu (eikoyu@fnal.gov)

Carolina Deluca (cdeluca@fnal.gov)

CDF, FNAL,
P.0. Box 500, M.S. 318
Batavia, Illinois 60510
USA


Measurement of the Inclusive Isolated Prompt Photon Cross Section at CDF


We present preliminary results on the measurement of the inclusive direct photon production cross section in proton-antiproton collisions at √s = 1.96 TeV, using data collected with the upgraded Collider Detector at Fermilab in Run II, and corresponding to an integrated luminosity of 2.5 fb-1. Measurements are performed as a function of the photon transverse momentum for photons with pT > 30 GeV/c and |η| < 1.0. Photons are required to be isolated in the calorimeter. We use the calorimeter isolation distribution to estimate the contamination from jets faking isolated photons. The measured cross section is corrected back to the hadron level and compared to NLO pQCD predictions. The NLO pQCD predictions include non-perturbative corrections. We find good agreement between data and the theoretical predictions.



    • Public Note (under preparation)


    • Blessed Results


    • Trigger efficiency

      The measurement is peformed using a data sample collected via two different trigger paths. For photons with pT < 90 GeV/c, we use a trigger path requiring at least one isolated photon with pT > 25 GeV/c. For photon with transverse momentum above 90 GeV/c, the trigger path requires at least one photon (no isolation requirement applied) with pT > 70 GeV/c. In all cases, the measurements are carried out in the kinematic region for which the trigger is fully efficient.

      The trigger efficiency for pT < 90 GeV/c is determined using Z->ee data. For the highest pT trigger, the turn-on efficiency curve is measured using electrons up to 120 GeV/c, and then using jet data for higher momenta.

      trigger
      Trigger efficiency for 30 < pT < 90 GeV/c eps

      trigger
      Trigger efficiency for pT > 90 GeV/c eps


      Photon Energy Scale

      We use Z->ee events to determine small corrections to the absolute photon energy scale in both data and Monte Carlo simulation that brings the Z mass peak to its nominal PDG value. In the Monte Carlo samples the correction is of the order of 1.0035, while in the data the corrections are time dependent and vary between 0.998 and 0.988 (see Figure)

      escale
      Ratio of the reconstructed Z mass to the nominal (PDG) value as a function of the data period. Each period corresponds to about 50-300pb-1 taken in about 1-3 months each.eps


      Signal and Background Separation

      The calorimeter isolation distribution is employed to discriminate photon signal from QCD background (dominated by pi0 decays). Templates for signal and background are constructed using Monte Carlo simulations and fitted to the data in each bin of pt. Details for three bins in pT are presented below (linear and log scales). Similar distributions are obtained for the rest of the bins in pt considered in this measurement.
      fits
      Fit result for 30 < pT < 34 GeV/c in linear scale eps

      fits
      Fit result for 30 < pT < 34 GeV/c in log scale eps

      fits
      Fit result for 70 < pT < 80 GeV/c in linear scale eps

      fits
      Fit result for 70 < pT < 80 GeV/c in log scale eps

      fits
      Fit result for 200 < pT < 230 GeV/c in linear scale eps

      fits
      Fit result for 200 < pT < 230 GeV/c in log scale eps


      Photon Fraction

      The obtained photon signal fraction varies between 70% and 100% as the photon pT increases.
      fraction
      Photon signal fraction as a function of the photon pT eps


      Unfolding factors


      The unfolding factors vary between 0.64 and 0.69 as the photon pT increases. The yellow band includes the uncertainties on the photon ID acceptance, the photon energy scale and the photon isolation scale.
      cross section
      Unfolding factors as a function of the photon pT eps



      Systematic Uncertainties

      Different sources of systematic uncertianties are considered. The total systematic uncertainty is dominated by the uncertainties on the photon signal fraction at low pT and the photon energy scale at high pT.



      • Signal Fractions

        The systematic uncertainty in the signal fraction is determined by using different methods to extract the photon signal. The plot below shows the nominal result, the systematic uncertainty band, and the result of the different variations performed. The systematic uncertainty on the photon fraction is 5% except for the first bin for which we choose a conservative 13%.
      • fraction
        Signal fraction and its systematic uncertainty as a function of the photon pT eps


        At low pT we developed templates using electrons from Z data samples, and employed the information from shower-max and pre-radiator detector (CES/CPR in the Figure) to extract the photon signal. Alternatively, we developed simple 2-bin templates and applied them to obtain the signal fraction for all the measured pT range. Finally, we explored the difference between corrected and uncorrected templates.





      • Systematic Uncertainty on the photon energy scale

        We quote a 1.5% uncertainty on the photon absolute energy scale that addresses remaining differences observed between data and Monte Carlo using a Z boson sample.
      • fraction
        Ratio betwen data and MC of the electron energy scale in Z events as a function of the sum of the energies of the two identified electrons eps





      • Systematics due to the Photon Isolation Scale

        We quote a 10% uncertainty on the photon isolation energy leading to an uncertainty on the photon cross secton between 1% and 0.6% as pT increases.


      • Systematic Uncertainty on the photon ID

        We quote a 3% uncertainty on the acceptance of the photon ID selection criteria, as extracted from Monte Carlo. Finally, in the pT region below 90 GeV/c, we included an additional 5% uncertainty on the quoted photon ID selection efficiency.


      • Total Systematic Uncertainty

        The total systematic uncertainties are summarized in the plot below. They vary between ~10% and ~15%. An additional 6% uncertainty on the total luminosity is kept separate and is not included in the Figure below.
      • fraction
        Total systematic uncertainty on the measured cross section and the different contributions as a function of the photon pT eps


      The Cross Section Result

      The measure pT distribution is unfolded back to the hadron level and is compared to NLO pQCD predictions by JETPHOX with CTEQ6.1M PDFs and fragmentation functions given by Bouris et al. (BFG II). The renormalization, factorization and fragmentation scales are all chosen to be equal and set to the pT of the photon. The theory is corrected for non-pQCD contributions (from underlying event). This correction is of the order of 9% and independent of pT .

      We find good agreement betweeen data and theory. The difference in shape observed for pT less than 40 GeV/c has been observed in pervious measurements.


      cross section
      Inclusive isolated photon cross section as a function of the photon pT eps



      DATA/THEORY ratio
      cross section
      Ratio to NLO pQCD JETPHOX predictions as a function of the photon pT eps



      cross section
      Inclusive isolated photon cross section as a function of the photon pT showing also the corrections for the underlying event eps