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Hierarchy problem
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==== Conformal ==== Without supersymmetry, a solution to the hierarchy problem has been proposed using just the [[Standard Model]]. The idea can be traced back to the fact that the term in the Higgs field that produces the uncontrolled quadratic correction upon renormalization is the quadratic one. If the Higgs field had no mass term, then no hierarchy problem arises. But by missing a quadratic term in the Higgs field, one must find a way to recover the breaking of electroweak symmetry through a non-null vacuum expectation value. This can be obtained using the [[Coleman–Weinberg potential|Weinberg–Coleman mechanism]] with terms in the Higgs potential arising from quantum corrections. Mass obtained in this way is far too small with respect to what is seen in accelerator facilities and so a conformal Standard Model needs more than one Higgs particle. This proposal has been put forward in 2006 by [[Krzysztof Antoni Meissner]] and [[Hermann Nicolai]]<ref>{{cite journal |last1=Meissner |first1=K. |last2=Nicolai |first2=H. |year=2007 |title=Conformal Symmetry and the Standard Model |journal=[[Physics Letters]] |volume=B648 |issue=4 |pages=312–317 |arxiv=hep-th/0612165 |bibcode=2007PhLB..648..312M |doi=10.1016/j.physletb.2007.03.023 |s2cid=17973378}}</ref> and is currently under scrutiny. But if no further excitation is observed beyond the one seen so far at [[Large Hadron Collider|LHC]], this model would have to be abandoned.
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