By Giuliano Panico, Andrea Wulzer
The Hierarchy challenge is arguably crucial guideline about the extension to high-energy scales of the traditional version (SM) of primary Interactions. each situation for addressing this factor necessarily predicts new physics within the TeV strength variety, that is at the moment being probed without delay via the LHC experimental application. one of the attainable options to the Hierarchy challenge, the situation of a composite Higgs boson is an easy proposal and a slightly believable photograph has emerged through the years via combining the subsequent components: First, the Higgs has to be a (pseudo-) Nambu-Goldstone boson, instead of a typical hadron of the recent powerful region. moment, in the course of the so-called ‘partial compositeness’, SM debris combine with powerful region resonances with compatible quantum numbers, so they turn into a linear mix of straightforward and composite levels of freedom. lately, basic descriptions of the Composite Higgs situation have been built which effectively catch the correct good points of this theoretical framework in a mostly model-independent means. the current ebook offers a concise and illustrative creation to the topic for a large viewers of graduate scholars and non-specialist researchers within the fields of particle, nuclear and gravitational physics.
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Additional info for The Composite Nambu-Goldstone Higgs
Sample text
68) in accordance with Eq. 29). It is not hard to generalize the CCWZ construction to the local case. The Goldstone transformation property is still defined by Eq. 49) where g is now a local group element. The Maurer–Cartan form, which we used to define the d and e symbols, generalizes to the object A constructed with the following logic: the Goldstone matrix UŒ… is a local element of G and as such it can be used to act on the gauge field A following Eq. 66). The result of this operation is still an element of the G algebra and as such it can be decomposed in terms of broken and unbroken generators similarly to what we did for the Maurer–Cartan form in Eq.
P2 / tensor constructed in terms of the d and the e symbols and thus it must be, according to the previous classification, a linear combination of d2 , D d and E. Notice that Eq. 81) could be used in two ways, either for eliminating F in favor of the others or for expressing two linear combinations of d2 , D d and E in terms of FAd and Fr . This second option might be convenient for certain applications. For instance in composite Higgs one might want to separate the operators constructed with the F ’s, which are entirely induced by the SM gauging and vanish in the ungauged limit A !
1 and discussed at length in the following chapters, is essential to ensure the viability of the composite Higgs scenario. However making small costs fine-tuning and our hope is to achieve a realistic theory for & 0:1, for which the separation among v and f is moderate. Second, a gap between f and m is naturally achieved by a strong enough composite sector coupling g . 1; 4 /, taking however into account that a moderately large values g > 1 are preferred to keep the resonances far from the EW scale.