Study of the normalized transverse momentum distribution of W bosons produced in p$\bar{p}$ collisions at $\sqrt{s}$=1.96  TeV

We present a study of the normalized transverse momentum distribution of W bosons produced in p$\bar{p}$ collisions, using data corresponding to an integrated luminosity of 4.35  fb$^{-1}$ collected with the D0 detector at the Fermilab Tevatron collider at $\sqrt{s}$=1.96  TeV. The measurement focuses on the transverse momentum region below 15 GeV, which is of special interest for electroweak precision measurements; it relies on the same detector calibration methods which were used for the precision measurement of the W boson mass. The measured distribution is compared to different QCD predictions and a procedure is given to allow the comparison of any further theoretical models to the D0 data.