We investigate matching conditions and threshold corrections between full effective theories based on the type I seesaw mechanism. In general, using an intuitive Feynman diagrammatical approach, we compute amplitudes before after integrating out heavy right-handed neutrinos at scale. particular, derive one-loop theories. The of parameters are influenced by to corresponding vertices as well wave...

A bstract We consider general renormalizable scalar field theory and derive six-loop beta functions for all parameters in d = 4 dimensions within the $$ \overline{\mathrm{MS}} MS ¯ -scheme. do not explicitly compute relevant loop integrals but utilize O( n )-symmetric...

We present the beta functions of gauge and Yukawa couplings in general four-dimensional quantum field theory, at four three loops, respectively. The essence our approach is fixing unknown coefficients most ansatz for beta-functions by direct calculation several simplified models. apply results to Standard Model its extension with an arbitrary number Higgs doublets provide expressions all four-l...

We consider the (multi) Splitting function of Wilson loops and MHV gluon scattering S matrix elements in N = 4 SYM. At strong coupling, one can utilize the methods of Alday and Maldacena and at weak coupling (one loop) the correspondence to light like Wilson loops is used. In both cases, the (multi) Splitting function corresponds to flattened cusps in the light like polygon, allowing for a clea...