## First Measurement of Charged Current Cross Sections at HERA with Longitudinally Polarised Positrons |

In an electron (or a positron) storage ring like HERA, transverse polarisation of the e

The charged current (CC) process studied here proceeds via weak interactions
with an exchange of a W boson in t channel. Unlike a photon or a Z^{o}
boson exchanged in neutral current interactions, the W boson interacts only
with e^{-}_{L} (or e^{+}_{R}) in the Standard
Model (SM). Therefore the SM CC cross section is expected to have a linear
dependence on P_{e} and vanishes for a fully right (left) handed
electron (positron) beam.

In this Letter first measurements of the charged current total cross sections
e^{+}p ® nbar X
are reported for two values of longitudinal polarisation P_{e} of the positrons.
These measurements use data collected in 2003-2004. This is the first publication based
on the HERA II data.
The corresponding data sets are termed the R and L data sets respectively.
The R data set has a luminosity weighted mean polarisation
value of (33.6+/-0.7)% and an integrated luminosity value of
26.9+/-0.6 pb^{-1}. The corresponding numbers for the L data set are
(-40.2+/-1.1)% and 20.7+/-0.5 pb^{-1}. In both data sets the incident
positron beam energy is 27.5GeV, whilst the unpolarised proton beam energy is
920GeV. This yields a centre-of-mass energy of 318GeV.

These measurements, as well as the corresponding one obtained using the
published unpolarised 65.2 pb^{-1} data collected in 1999 and 2000,
are compared (figure) to SM expectations based on the H1 PDF 2000
parametrisation.
A linear fit to the polarisation dependence of the measured cross sections is
performed taking into account the correlated systematic uncertainties between
the measurements. The fit provides a reasonable
description of the data with a chi2 value of 4.4 for one degree of freedom.
The result of the fit extrapolated to the point P_{e} = -1 yields a
fully left handed charged current cross section of
-3.9 +/- 2.3_{stat} +/- 0.7_{sys} +/- 0.8_{pol} pb.
The polarisation dependence of the charged current cross section has thus been
established at HERA and the data are found to be in agreement with the SM
axiomatic absence of right handed charged currents.

*Last Update 06.02.2006*