Electroweak corrections to hadronic production of W bosons at large transverse momenta
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To match the precision of present and future measurements of W-boson production at hadron colliders electroweak radiative corrections must be included in the theory predictions. In this paper we consider their effect on the transverse momentum (k"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TVC-4RHFVF3-1&_mathId=mml72&_user=1067359&_cdi=5531&_rdoc=3&_acct=C000050221&_version=1&_userid=10&md5=204735f8dbac3eea34a6a9da8451f331"" title=""Click to view the MathML source"" alt=""Click to view the MathML source"">pT) distribution of W bosons, with emphasis on large k"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TVC-4RHFVF3-1&_mathId=mml73&_user=1067359&_cdi=5531&_rdoc=3&_acct=C000050221&_version=1&_userid=10&md5=4f915e1a2d47a5048102183861aa06a3"" title=""Click to view the MathML source"" alt=""Click to view the MathML source"">pT. We evaluate the full electroweak kzV"" alt=""View the MathML source"" title=""View the MathML source"" align=""absbottom"" border=""0"" height=15 width=""35""/> corrections to the processes k"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TVC-4RHFVF3-1&_mathId=mml75&_user=1067359&_cdi=5531&_rdoc=3&_acct=C000050221&_version=1&_userid=10&md5=b7fb24c3826edfa7dcaf8ede4ca0689e"" title=""Click to view the MathML source"" alt=""Click to view the MathML source"">ppW+jet and kzV"" alt=""View the MathML source"" title=""View the MathML source"" align=""absbottom"" border=""0"" height=14 width=""98""/> including virtual and real photonic contributions. We present the explicit expressions in analytical form for the virtual corrections and provide results for the real corrections, discussing in detail the treatment of soft and collinear singularities. We also provide compact approximate expressions which are valid in the high-energy region, where the electroweak corrections are strongly enhanced by logarithms of kzV"" alt=""View the MathML source"" title=""View the MathML source"" align=""absbottom"" border=""0"" height=20 width=""44""/>. These expressions describe the complete asymptotic behaviour at one loop as well as the leading and next-to-leading logarithms at two loops. Numerical results are presented for proton–proton collisions at k"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TVC-4RHFVF3-1&_mathId=mml78&_user=1067359&_cdi=5531&_rdoc=3&_acct=C000050221&_version=1&_userid=10&md5=62b4f1c0a9095b058fbf834debc0cb66"" title=""Click to view the MathML source"" alt=""Click to view the MathML source"">14 TeV and proton–antiproton collisions at k"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TVC-4RHFVF3-1&_mathId=mml79&_user=1067359&_cdi=5531&_rdoc=3&_acct=C000050221&_version=1&_userid=10&md5=3d08469a8cd03179aeddc35b35124cc7"" title=""Click to view the MathML source"" alt=""Click to view the MathML source"">2 TeV. The corrections are negative and their size increases with k"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TVC-4RHFVF3-1&_mathId=mml80&_user=1067359&_cdi=5531&_rdoc=3&_acct=C000050221&_version=1&_userid=10&md5=099dd39509d78d175bc12362b6d29b41"" title=""Click to view the MathML source"" alt=""Click to view the MathML source"">pT. At the LHC, where transverse momenta of k"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TVC-4RHFVF3-1&_mathId=mml81&_user=1067359&_cdi=5531&_rdoc=3&_acct=C000050221&_version=1&_userid=10&md5=6bf005a368fe1a1738fed6caa35c6d6f"" title=""Click to view the MathML source"" alt=""Click to view the MathML source"">2 TeV or more can be reached, the one- and two-loop corrections amount up to −40 % and +10 % , respectively, and will be important for a precise analysis of W production. At the Tevatron, transverse momenta up to k"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TVC-4RHFVF3-1&_mathId=mml82&_user=1067359&_cdi=5531&_rdoc=3&_acct=C000050221&_version=1&_userid=10&md5=72517186f79b459dfbea964a0accade2"" title=""Click to view the MathML source"" alt=""Click to view the MathML source"">300 GeV are within reach. In this case the electroweak corrections amount up to −10 % and are thus larger than the expected statistical error.

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