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Radiative Corrections for Heavy Nuclei

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Presentation on theme: "Radiative Corrections for Heavy Nuclei"— Presentation transcript:

1 Radiative Corrections for Heavy Nuclei
E.C. Aschenauer EIC INT Program, Seattle Week 5

2 Precision Measurement of FL with the EIC
FL ~ asG(x,Q2): the most “direct” way to G(x,Q2) FL needs various √s  longer program In order to extract FL one needs at least two measurements of the inclusive cross section with a “wide” span in inelasticity parameter y (Q2=sxy) Coverage in x & Q2 for inclusive cross section measurements Plots for 4 GeV electrons on 50 – 250 GeV protons E.C. Aschenauer EIC INT Program, Seattle Week 5

3 Measuring FL with the EIC
Lets get a feeling for systematic uncertainties 1% energy-to-energy normalization Conclusion from this study Dominated by sys. uncertainties  gives max. luminosity  here: 4fb-1 / A Depending on x & Q2 might be able to take a hit in luminosity  need to include detector effects FL for fixed electron energy (4GeV) and proton energies: 50, 70, 100, 250 GeV Luminosity: 4fb-1 each setting E.C. Aschenauer EIC INT Program, Seattle Week 5

4 Measure gA(x) impact parameter dependent
Stringent requirements on: Momentum resolution t resolution and range A. Caldwell, H. Kowalski Phys.Rev.C81:025203,2010 Radiative Correction will impact them E.C. Aschenauer EIC INT Program, Seattle Week 5

5 EIC INT Program, Seattle 2010 - Week 5
Some Info on RadCors Inclusive cross section stot = sela + sqela + sinel + sv for all parts photons can be radiated from the incoming and outgoing lepton, high Z-material Compton peak. radiation is proportional to Z2 of target, like bremsstrahlung radiation is proportional to 1/m2 of radiating particle elastic: quasi-elastic: scattering on proton of nuclei proton stays intact nuclei breaks up two photon exchange? Interference terms? initial final vacuum loops E.C. Aschenauer EIC INT Program, Seattle Week 5

6 Why are RadCor important?
Modify kinematics  Q2: initial state: E’beam = Ebeam – Eg photon goes along the beam line final state: E’out = Eout – Eg photon goes somewhere in Calo RadCor and detector smearing don’t factorize need to have RadCor implemented in MC to unfold effects on kinematics unfolding in bins Ntrue=Nmeas-Nbckg events smeared into acceptance E.C. Aschenauer EIC INT Program, Seattle Week 5

7 RadCor and smearing unfolding in MC
generate observed kinematics xmeas, Q2meas Radiative Correction Code photon radiated no photon radiated calculate xtrue, Q2true xtrue=xmeas, Q2true=Q2meas hand kinematics to generator (lepto, pythia, ..) What subprocess is generated is regulated by phase space Hand particles to GEANT E.C. Aschenauer EIC INT Program, Seattle Week 5

8 EIC INT Program, Seattle 2010 - Week 5
What do we know? A lot of radiative correction codes for proton much less existing for eA all experiments apart from HERMES had m-beams suppressed radiation HERMES uses modified version of RADGEN (hep-ph/ v1) Radiative corrections to deep inelastic scattering on heavy nuclei at HERA I. Akushevich and H. Spiesberger QED radiative processes in electron-heavy ion collisions at HERA K. Kurek E.C. Aschenauer EIC INT Program, Seattle Week 5

9 EIC INT Program, Seattle 2010 - Week 5
What do we know? 10-4 < x < and GeV x 410 GeV Pb S C He D solid: inelastic rad. corrections dashed: inelastic, quasi-elastic and elastic rad. corrections Huge effects at high y E.C. Aschenauer EIC INT Program, Seattle Week 5

10 EIC INT Program, Seattle 2010 - Week 5
What do we know? Compton peak relevant if momentum transfer to nucleus very small effect of nuclear form factor included E.C. Aschenauer EIC INT Program, Seattle Week 5

11 EIC INT Program, Seattle 2010 - Week 5
What do we know? Two photon exchange two photon exchange only important for very heavy nuclei E.C. Aschenauer EIC INT Program, Seattle Week 5

12 EIC INT Program, Seattle 2010 - Week 5
Can we suppress things? elastic/quasi-elastic part: require some hadrons in detector solid line: inelastic contribution dashed line: after cuts Eg > 10 GeV  E-pz from hadronic state is smaller S C He D Need a code, which puts all together to make full calculations need to test analysis strategies to suppress rad. corrections E.C. Aschenauer EIC INT Program, Seattle Week 5

13 EIC INT Program, Seattle 2010 - Week 5
and Summary Djangoh is compiled at BNL and running eA part is included need to do more studies HERACLES can be interfaced with other MC codes HERMES code (RADGEN + eA version of lepto) is installed at BNL and close to run. No nuclear effects are included. can compare results between eA-RADGEN with HERACLES can nPDFs be included? Hubert Spiesberger is coming to INT next week, juhu E.C. Aschenauer EIC INT Program, Seattle Week 5

14 EIC INT Program, Seattle 2010 - Week 5
BACKUP E.C. Aschenauer EIC INT Program, Seattle Week 5

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