The Importance of Weak Bosons Emission at LHC

We point out that gauge bosons emissions should be carefully estimated when considering LHC observables, since real $Ws$ and $Zs$ contributions can dramatically change cross sections with respect to tree level values. Here we consider observables that are fully inclusive respect to soft gauge bosons emission and where a certain number of nonabelian isospin charges in initial and/or final states are detected. We set up a general formalism to evaluate leading, all order resummed electroweak corrections and we consider the phenomenologically relevant case of third family quark production at the LHC. In the case of $b\bar{t}$ production we find that, due to the interplay between strong and weak interactions, the production cross section can become an order of magnitude bigger than the tree level value.