In the second order we considered thefollowing sources of corrections: (a) virtual photoniccorrections coming from squares of one-loop level amplitudes and theirrelevant interferences (vertex-type and box-type Feynmandiagrams); (b) double soft photon emission and one-loopcorrections to single soft ...
We argue that such higher order post-Newtonian calculations must be automated for these field theoretic methods to be applied successfully to achieve this goal. In view of this, we outline an algorithm that would in principle generate the relevant Feynman diagrams to an arbitrary order in v/c ...
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mass at this order. 3. Method While in [3] vertex diagrams for t → bW were computed, in [4] the top quark decay rate was obtained via the optical theorem which relates it to the imaginary part of the top quark propagator Σ = q /Σ V ...
At leading chiral order, it is given by Dashen's low-energy theorem [1]. There are, how- ever, possible substantial corrections from next-to-leading O(e2ms) effects which suggests to explore, in parallel, other isospin-violating processes. In this respect, the η→ 3π decay amplitude ...
Second order processes are described by Feynman diagrams with two electron-photon vertices. Such processes include Compton scattering, two-photon emission, two-photon pair creation and annihilation, M酶ller and Bhabha scattering, and the trident process. These processes have counterparts in the absence...
As an important result of this paper we establish a one-to-one correspondence between the Feynman diagrams and the results of the equation-of-motion method for the real-time Green's functions. The derivation gives new insight in the structure of the second-order perturbation theory of the ...
This paper reports the evaluation of the tenth-order QED contribution to the lepton g-2 from the gauge-invariant set of 2072 Feynman diagrams, called Set IV, which are obtained by inserting a second-order lepton vacuum-polarization loop into 518 eighth-order vertex diagrams of four-photon ...
Third- and fourth-order time-dependent perturbation theory is employed in combination with single-sided Feynman diagrams to evaluate two contributions arising from static field-free and field-induced processes. It is found that, in addition to the coherent term, an incoherent process exists for sum...
This article introduces this basictheory from a variety of viewpoints including the Rayleigh–Schrödingerperturbation theory, the many-body Green's function theorybased on the Dyson equation, and the related Feynman–Goldstonediagrams. It also explains the important properties of MBPT(2) suchas size...