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effective hamiltonians

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5 - Short-Distance Structure ofWeak Decays
from Part III - Weak Decays in the StandardModel
Andrzej J. Buras, Technische Universität München
Book:

Gauge Theory of Weak Decays

Published online:

11 June 2020

Print publication:

02 July 2020, pp 130-178
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Summary

Next we will discussflavor-changing neutral current (FCNC) processes. In the SM such processes can only occur first at the one-loop level due to Glashow–liopoulos–Maiani (GIM) mechanism, a very important mechanism in the field of weak decays. We will first present the general structure of these processes, which will involve a set of basic master one-loop functions. We will calculate most ofthese functions explicitly without including first QCD corrections. Subsequently we will show how these functions enter the operator product expansion. Nextwe will include QCD and electroweak corrections to a number of FCNC processes. This will result in a number of effective Hamiltonians for most important processes thatinvolve new operators not encountered in previous chapter: the so-called penguin operators. In this step we will study several properties of these Hamiltonians but we will postpone detailed phenomenology of these processesto later chapters.

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5 - Short-Distance Structure ofWeak Decays

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5 - Short-Distance Structure ofWeak Decays

Summary