It is both surprising and difficult to admit that, following 15 years of preparation of the
LHC experimental programme, we do not have a viable strategy to
improve the measurement precision of the Standard Model
parameters at the LHC. Several measurement methods have been elaborated
and extensively discussed over the last decade by the ATLAS and CMS
collaborations. However, in all the proposed methods several shortcuts
have been made. In my talk I shall demonstrate that these shortcuts
were justified for the Tevatron ppbar collisions but are no longer justified
for the pp collisions at the LHC. I shall argue that in order to go forward
novel LHC-specific measurement and analysis strategies must be developed. Two examples of such strategies will be presented and evaluated. The first one
circumvents the LHC-specific precision brick-walls by complementing
the standard LHC pp colliding mode with the dedicated runs with deuteron or helium beams. The core of the second, alternative one, is a dedicated fixed target
``LHC-support'' experiment using the CERN high-intensity muon beam and optimized
to provide the necessary experimental input for precision control of the polarization of the W and Z bosons produced at the LHC. The Letter Of Intent for such an experiment has just been submitted to the SPSC and the LHCC.