Electroweak corrections to hadronic photon production at large transverse momenta

We study the impact of electroweak radiative corrections on direct production of photons with high transverse momenta at hadron colliders. Analytic results for the weak one-loop corrections to the parton scattering reaction q→γg and its crossed variants are presented. For the high-energy region, where the corrections are strongly enhanced by logarithms of /MW2, we derive simple asymptotic expressions which approximate the exact one-loop results with high precision. The dominant two-loop electroweak contributions are also calculated. Numerical results are presented for the LHC and the Tevatron. The corrections are negative and their size increases with transverse momentum. For the LHC, where transverse momenta of 2 TeV or more can be reached, the size of the one- and two-loop effects amounts up to −17% and +3%, respectively. At the Tevatron, with transverse momenta up to 400 GeV, the one-loop corrections do not exceed −4% and the two-loop effects are negligible. Finally we compare the cross sections for hadronic production of photons and Z bosons and find that the electroweak corrections have an important impact on their ratio.

[1]  E. al.,et al.  Isolated Photon Cross Section in pp Collisions at {radical}(s) =1.8 TeV , 1999, hep-ex/9912017.

[2]  J. Guillet,et al.  Cross section of isolated prompt photons in hadron-hadron collisions , 2002, hep-ph/0204023.

[3]  C. Meier,et al.  Electroweak corrections to γZ production at hadron colliders , 2004, hep-ph/0402281.

[4]  S. Pozzorini,et al.  Electroweak corrections to hadronic production of W bosons at large transverse momenta , 2005, 0708.0476.

[5]  Two-loop electroweak angular-dependent logarithms at high energies , 2003, hep-ph/0301241.

[6]  J. Ohnemus,et al.  A Calculation of the Direct Photon Plus Jet Cross-Section in the Next-To-Leading Logarithm Approximation , 1990 .

[7]  J. Owens Large momentum transfer production of direct photons, jets, and particles , 1987 .

[8]  A. Penin,et al.  Two-loop Sudakov form factor in a theory with a mass gap. , 2004, Physical review letters.

[9]  J. Kuhn,et al.  Sudakov logarithms in electroweak processes , 1999 .

[10]  J. Christensen Doctoral thesis , 1970 .

[11]  One-loop weak corrections to γ/Z hadro-production at finite transverse momentum , 2004, hep-ph/0403050.

[12]  Alan D. Martin,et al.  NNLO global parton analysis , 2002, hep-ph/0201127.

[13]  V. Mitsou SEARCH FOR NEW PHYSICS WITH ATLAS AT THE LHC , 2000, hep-ph/0004161.

[14]  Hayes,et al.  Review of Particle Physics. , 1996, Physical review. D, Particles and fields.

[15]  R. Baier,et al.  PROMPT PHOTON PRODUCTION AT LARGE PT IN QCD BEYOND THE LEADING ORDER , 1984 .

[16]  Baer,et al.  Next-to-leading-logarithm calculation of jet photoproduction. , 1989, Physical review. D, Particles and fields.

[17]  A. Denner Techniques for the Calculation of Electroweak Radiative Corrections at the One‐Loop Level and Results for W‐physics at LEP 200 , 2007, 0709.1075.

[18]  Berger,et al.  Calculations of prompt-photon production in QCD. , 1991, Physical review. D, Particles and fields.

[19]  Helmuth Spieler,et al.  Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004) , 2004, astro-ph/0406663.

[20]  Logarithmic electroweak corrections to gauge-boson pair production at the LHC , 2004, hep-ph/0409247.

[21]  J. Thomas,et al.  Erratum: Precision measurement of the prompt photon cross section in pp collisions at s=1.8 TeV (Physical Review Letters(1995) 74, 10 (1891-1893)) , 1995 .

[22]  E. al.,et al.  The ratio of the isolated photon cross sections at $\sqrt{s} = 630$ GeV and 1800 GeV , 2001, hep-ex/0106026.

[23]  R. Baier,et al.  Prompt Photon Production at Large p(T) Scheme Invariant QCD Predictions and Comparison with Experiment , 1988 .

[24]  C. Morel,et al.  Direct photon cross sections in proton-proton and antiproton-proton interactions at √s = 24.3 GeV , 1998 .

[25]  E. Berger,et al.  Understanding the cross section for isolated prompt photon production , 1990 .

[26]  J. Guillet,et al.  Next to leading order bremsstrahlung contribution to prompt-photon production , 1993 .

[27]  Gordon,et al.  Polarized and unpolarized prompt photon production beyond the leading order. , 1993, Physical review. D, Particles and fields.

[28]  Next-to-leading mass singularities in two-loop electroweak singlet form factors , 2004, hep-ph/0401087.

[29]  E. al.,et al.  Measurement of direct-photon production at the Fermilab Tevatron fixed target energies , 2004, hep-ex/0407011.

[30]  Logarithmic electroweak corrections to hadronic Z+1 jet production at large transverse momentum , 2004, hep-ph/0408308.

[31]  W. Vogelsang,et al.  DATA REVIEW: A compilation of data on single and double prompt photon production in hadron - hadron interactions , 1997 .

[32]  Baier,et al.  Prompt photon production at colliders. , 1990, Physical review. D, Particles and fields.

[33]  F. Abe Measurement of W-Photon Couplings in p- p¯ Collisions at s=1.8 TeV , 1994 .

[34]  A. Denner,et al.  High-Energy Approximation of One-Loop Feynman Integrals , 1996 .

[35]  D. Bourilkov,et al.  Electroweak Physics , 2005, hep-ph/0501246.

[36]  Gordon,et al.  Polarized and unpolarized isolated prompt photon production beyond the leading order. , 1994, Physical review. D, Particles and fields.

[37]  H. Fritzsch,et al.  Measuring QCD compton effects , 1977 .

[38]  E. al.,et al.  Evidence for parton $k_{T}$ effects in high $p_{T}$ particle production , 1997, hep-ex/9711017.

[39]  R. K. Shivpuri,et al.  Study of direct photon production at the CERN LHC , 2003 .

[40]  J. Guillet,et al.  A critical phenomenological study of inclusive photon production in hadronic collisions , 1998, hep-ph/9811382.

[41]  J. Kuhn,et al.  Two-loop high-energy electroweak logarithmic corrections in a spontaneously broken SU(2) gauge model , 2005 .

[42]  Cen,et al.  Precision measurement of the prompt photon cross section in pp-bar collisions at sqrt s =1.8 TeV. , 1994, Physical review letters.