We discuss the condition for the presence of isoscalar parity violating neutral currents and notice that it is present in most gauge-theoretic models of weak interactions. We investigate the possibility of testing its presence in e⁺e⁻ colliding beams and find that parity violation in the reaction e⁺e⁻→Λ^°Λ^° would provide an unambiguous test for such a current.

Quantum chromodynamics corrections to orderα_s (the running coupling constant), using the quark-parton approach are calculated for the spin-dependent structure functions in deep-inelastic polarised electron-nucleon scattering. Consequences of these corrections for the Bjorken sum rule and the asymmetry in the case of longitudinally polarised (with respect to the beam) nucleons is discussed which could provide possible tests of quantum chromodynamics. Comparison of our results with the moments of the flavour non-singlet contribution to the structure functions obtained using operator product expansion is also given.

We investigate the asymmetries arising due to electromagnetic interactions in largeP_T pion inclusive processes. The hardqcd processes that contribute to such asymmetries areq+g→q+γ,q+q→g+γ etc. which are suspected to be substantial, as indicated by theqcd predictions for a significant and increasingγ/π^o ratio at largeP_T. We calculate the expected isospin related asymmetries and propose tests that might detect them. Our estimates indicate that the effects are much smaller than may be naively expected. We also observe a remarkable scaling of asymmetries in the variableP_T/(s)^1/2.

A class of supersymmetric preon models is considered in which the hypercolour groupG_HC and the unbroken flavour groupG_f anomalies are zero without needing spectators. It is shown that forG_HC=SU(2) and SU(3) quarks and leptons as composites can be obtained satisfying ’t Hooft’s anomaly matching conditions. For the case ofG_HC=SU(3),G_f can accommodate a horizontal symmetry group to describe just three generations.

An enormous amount of material has been covered in the last five days and my summary talk is clearly biased by my limitations.

Using the equal time commutation relations for the components of the vector and axialvector currents and keeping single particle states we obtain relations for the weak form factors for theB - D systems. In the heavy quark effective theory (HQET) limit these relations determine the Isgur-Wise function.

The working group on astroparticle and neutrino physics at WHEPP-9 covered a wide range of topics. The main topics were neutrino physics at INO, neutrino astronomy and recent constraints on dark energy coming from cosmological observations of large scale structure and CMB anisotropy.