Revisiting the decoupling effects in the running of the Cosmological Constant

Abstract We revisit the decoupling effects associated with heavy particles in the renormalization group running of the vacuum energy in a mass-dependent renormalization scheme. We find the running of the vacuum energy stemming from the Higgs condensate in the entire energy range and show that it beh...

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Main Authors: Oleg Antipin, Blaženka Melić
Format: Article
Language:English
Published: SpringerOpen 2017-09-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-017-5153-6
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author Oleg Antipin
Blaženka Melić
author_facet Oleg Antipin
Blaženka Melić
author_sort Oleg Antipin
collection DOAJ
description Abstract We revisit the decoupling effects associated with heavy particles in the renormalization group running of the vacuum energy in a mass-dependent renormalization scheme. We find the running of the vacuum energy stemming from the Higgs condensate in the entire energy range and show that it behaves as expected from the simple dimensional arguments meaning that it exhibits the quadratic sensitivity to the mass of the heavy particles in the infrared regime. The consequence of such a running to the fine-tuning problem with the measured value of the Cosmological Constant is analyzed and the constraint on the mass spectrum of a given model is derived. We show that in the Standard Model (SM) this fine-tuning constraint is not satisfied while in the massless theories this constraint formally coincides with the well known Veltman condition. We also provide a remarkably simple extension of the SM where saturation of this constraint enables us to predict the radiative Higgs mass correctly. Generalization to constant curvature spaces is also given.
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spelling doaj.art-ec4f4295fedc4f8da85fe522299307792022-12-22T00:44:56ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-09-0177911410.1140/epjc/s10052-017-5153-6Revisiting the decoupling effects in the running of the Cosmological ConstantOleg Antipin0Blaženka Melić1Division of Theoretical Physics, Rudjer Bošković InstituteDivision of Theoretical Physics, Rudjer Bošković InstituteAbstract We revisit the decoupling effects associated with heavy particles in the renormalization group running of the vacuum energy in a mass-dependent renormalization scheme. We find the running of the vacuum energy stemming from the Higgs condensate in the entire energy range and show that it behaves as expected from the simple dimensional arguments meaning that it exhibits the quadratic sensitivity to the mass of the heavy particles in the infrared regime. The consequence of such a running to the fine-tuning problem with the measured value of the Cosmological Constant is analyzed and the constraint on the mass spectrum of a given model is derived. We show that in the Standard Model (SM) this fine-tuning constraint is not satisfied while in the massless theories this constraint formally coincides with the well known Veltman condition. We also provide a remarkably simple extension of the SM where saturation of this constraint enables us to predict the radiative Higgs mass correctly. Generalization to constant curvature spaces is also given.http://link.springer.com/article/10.1140/epjc/s10052-017-5153-6
spellingShingle Oleg Antipin
Blaženka Melić
Revisiting the decoupling effects in the running of the Cosmological Constant
European Physical Journal C: Particles and Fields
title Revisiting the decoupling effects in the running of the Cosmological Constant
title_full Revisiting the decoupling effects in the running of the Cosmological Constant
title_fullStr Revisiting the decoupling effects in the running of the Cosmological Constant
title_full_unstemmed Revisiting the decoupling effects in the running of the Cosmological Constant
title_short Revisiting the decoupling effects in the running of the Cosmological Constant
title_sort revisiting the decoupling effects in the running of the cosmological constant
url http://link.springer.com/article/10.1140/epjc/s10052-017-5153-6
work_keys_str_mv AT olegantipin revisitingthedecouplingeffectsintherunningofthecosmologicalconstant
AT blazenkamelic revisitingthedecouplingeffectsintherunningofthecosmologicalconstant