Techniques for the Calculation of Electroweak Radiative Corrections at the One-Loop Level and Results forW-physics at LEP 200

Abstract

We review the techniques necessary for the calculation of virtual electroweak and soft photonic corrections at the one-loop level. In particular we describe renormalization, calculation of one-loop integrals and evaluation of one-loop Feynman amplitudes. We summarize many explicit results of general relevance. We give the Feynman rules and the explicit form of the counterterms of the electroweak standard model, we list analytical expressions for scalar one-loop integrals and reduction of tensor integrals, we present the decomposition of the invariant matrix element for processes with two external fermions and we give the analytic form of soft photonic corrections. These techniques are applied to physical processes with external W-bosons. We present the full set of analytical formulae and the corresponding numerical results for the decay width of the W-boson and the top quark. We discuss the cross section for the production of W-bosons in e + e -annihilation including all 0 (a) radiative corrections and finite width effects. Improved Born approximations for these processes are given.

Gauge invariant Barr-Zee type contributions to fermionic EDMs in the two-Higgs doublet models

“…[13,14], but the results in the previous works are not gauge invariant. We improve this point by using the pinch technique [15][16][17] and make the Barr-Zee diagrams gauge invariant. We also study EDMs in the other three types as well as the type-II.…”

Higgs-Z-photon coupling from effect of composite resonances

“…JHEP04 (2014)052 with each piece of c Zγ being expressed by the one-loop scalar and vector three point functions C 0 and C 2 defined in [27][28][29]:…”

One-loop calculations of the decay of the next-to-lightest neutralino in the MSSM

“…The analytical expressions for scalar three-point and fourpoint functions with real arguments can be found in refs. [21,26,27]. We generalized these to allow for complex arguments.…”

“…The renormalization constants above are again fixed by the on-shell conditions [21]. The on-shell definition of the weak mixing angle…”

“…Here we follow ref. [21]. The relevant parameters are the electric charge e, the charged fermion masses m f , and the masses of the W, Z bosons.…”