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Radiative Corrections for polarized H(e,ep). Chris Crawford Mass. Inst. of Tech. Jan. 24, 2002. Introduction Higher order diagrams Hard vs. Soft photons Approximations Radiative cross section. Existing software SIMC (Hall C) MASCARAD Calculations Remaining work. Outline.
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Radiative Corrections for polarized H(e,ep) Chris Crawford Mass. Inst. of Tech. Jan. 24, 2002
Introduction Higher order diagrams Hard vs. Soft photons Approximations Radiative cross section Existing software SIMC (Hall C) MASCARAD Calculations Remaining work Outline
Internal Processes Born Bremsstrahlung Vertex correction Vacuum polarization
External Processes • Bremsstrahlung • Multiple scattering • Landau straggling • Energy loss • Simulate these with BLASTMC
Soft Photons: within detector energy resolution E Multiple photon emission dominates at low Hard photons modify kinematics Hard v.s. Soft Photons
Radiative Cross Section • Bethe & Heitler, P.R.S.L. A146, 83 (1934) • J. Schwinger, Phys. Rev. 76, 790 (1949) • Mo & Tsai, Rev. Mod. Phys. 41, 205 (1969) • Inclusive cross section • Soft photon approximation • Peaking approximation • Cutoff parameter E
SIMC • R. Ent et. al., Phys.Rev.C 64 054610 (2001) • Soft photon approximation • Multiple photon emission • Two unphysical divergences
SIMC • Peaking approximation • Radiation along initial, final electron • Used for applying vertex correction
MASCARAD • A. Afanasev et. al., Phys.Rev.D 64, 113009 • Bardin & Shumeiko, Nucl.Phys. B127, 242 • Covariant, no cutoff parameter S.P.A. Hard Photons
MASCARAD • The asymmetry is insensitive to
Phase Space • Change of variables for
Coincidence • Integrate over proton acceptance A • Sharply peaked in and k
Other Methods • Reconstruction in hadronic variables • Simplifies integration • C++ code PRC, by Feng Xiong • Based on POLRAD 2.0 • Others
Remaining Work • Incorporate into BLASTMC (userGen) • Use external physics of GEANT • Simulate proton acceptance • Improvements • Use peaking approx. + residual • Add arbitrary polarization angle • Simulate e-p elastic experiments • Generalize to other BLAST reactions