A First Measurement of the Charged Current DIS Cross Sections with Longitudinally Polarised Electrons in the H1 Experiment at HERA

The analysis presented in this thesis is based on data from
electron-proton collisions with longitudinally polarised electron
beams at a centre-of-mass energy of ${\sqrt s}=319~$GeV. The data
were taken with the H1 detector at the HERA collider in the year
2005 corresponding to two polarisation states: a left-handed
electron polarisation of $-27\%$ and a right-handed electron
polarisation of $+37\%$, corresponding to integrated luminosities
of $68.6~\rm pb^{-1}$ and $29.6~\rm pb^{-1}$, respectively. The
inclusive total deep inelastic charged current cross section and
the differential cross sections are measured for both helicities in
the kinematic domain $Q^{2}>400~\rm GeV^{2}$ and $y