Published: 2005
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The production cross section and the kinematic properties of the decay products of the W[gamma] in the W [yields] [mu][nu] decay channel from p[bar p] collisions at [radical]s = 1.96 TeV are presented. The measurement use the high p[sub T] muon data from the upgraded Collider Detector at Fermilab (CDF). The data were collected between March 2002 and September 2003. The total integrated luminosities are 192 pb[sup -1] with the muon detector which covers the pseudorapidity region of [eta] [le] 0.6 and 175 pb[sup -1] with the muon detector covering the region 0.6 [le] [eta] [le] 1.0. In the Standard Model the [mu][nu][gamma] final states occur due to W[gamma] [yields] [mu][nu][gamma] production and via muon Bremsstrahlung, W [yields] [mu][nu] [yields] [mu][nu][gamma]. W bosons are selected in their muon decay mode. Additionally, photons with transverse energy above 7 GeV, pseudorapidity in the central region ([eta] 1.1) and muon-photon angular separation [Delta]R([mu], [gamma]) 0.7 are selected. They observe a total of 128 W[gamma] candidates, whereas the Standard Model expectation is 142.4 [+-] 9.5 events. The W[gamma] production cross section is found to be [sigma](p[bar p] [yields] [mu][nu][gamma]) = 16.3 [+-] 2.3(stat.) [+-] 1.8(syst.) [+-] 1.2(lum.) [pb]. The theoretical prediction for this cross section is [sigma](p[bar p] [yields] l[nu][gamma]) = 19.3 [+-] 1.4(th.)[pb]. The Standard Model predictions for several kinematic + variables are compared with data for E[sub T][gamma]> 7 GeV and [Delta]R([mu], [gamma])> 0.7. The measured cross section and the photon and W boson production kinematics are found to agree with the Standard Model predictions.