The chromatic sum of a graph is introduced in the dissertation of Ewa Kubicka. It is the smallest possible total among all proper colorings of G using natural numbers. In this article we determine tight bounds on the chromatic sum of a connected graph with e edges.
We argue that CP-violation effects below a few×10 −3 are probably undetectable at hadron and electron colliders. Thus only operators whose contributions interfere with tree-level Standard Model amplitudes are detectable. We list these operators for Standard Model external particles and some two and three body final state reactions that could show detectable effects. These could test electroweak baryogenesis scenarios.
The complete O(N f α 2 ) weak contributions to the muon lifetime, denoted as ∆r (2) , are calculated in the MS renormalization scheme. These come from 2loop Feynman diagrams containing a loop formed by complete generations of massless fermions. They form an independent, gauge-invariant set of corrections that, because of the large number of light fermions in the Standard Model, is expected to make a significant contribution. In the MS renormalization scheme with µ ′ ≡ (πe γ ) 1 2 µ = M Z and for a Higgs mass, M H , in the range 100-1000 GeV the contribution varies from −0.55 × 10 −4 to −1.54 × 10 −4 for each massless generation of fermions.
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