scholarly journals Hierarchy problem and dimension-six effective operators

2020 ◽  
Vol 102 (7) ◽  
Author(s):  
Ambalika Biswas ◽  
Anirban Kundu ◽  
Poulami Mondal
1997 ◽  
Vol 92 (5) ◽  
pp. 847-854 ◽  
Author(s):  
LIDIA SMENTEK ◽  
B.ANDES HESS

2019 ◽  
Author(s):  
Vitaly Kuyukov

Many approaches to quantum gravity consider the revision of the space-time geometry and the structure of elementary particles. One of the main candidates is string theory. It is possible that this theory will be able to describe the problem of hierarchy, provided that there is an appropriate Calabi-Yau geometry. In this paper we will proceed from the traditional view on the structure of elementary particles in the usual four-dimensional space-time. The only condition is that quarks and leptons should have a common emerging structure. When a new formula for the mass of the hierarchy is obtained, this structure arises from topological quantum theory and a suitable choice of dimensional units.


2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Luca Di Luzio

Abstract An accidental U(1) Peccei-Quinn (PQ) symmetry automatically arises in a class of SO(10) unified theories upon gauging the SU(3)f flavour group. The PQ symmetry is protected by the ℤ4 × ℤ3 center of SO(10) × SU(3)f up to effective operators of canonical dimension six. However, high-scale contributions to the axion potential posing a PQ quality problem arise only at d = 9. In the pre-inflationary PQ breaking scenario the axion mass window is predicted to be ma ∈ [7 × 10−8, 10−3] eV, where the lower end is bounded by the seesaw scale and the upper end by iso-curvature fluctuations. A high-quality axion, that is immune to the PQ quality problem, is obtained for ma ≳ 2 0.02 eV. We finally offer a general perspective on the PQ quality problem in grand unified theories.


2008 ◽  
Vol 77 (3) ◽  
Author(s):  
Robert Foot ◽  
Archil Kobakhidze ◽  
Kristian L. McDonald ◽  
Raymond R. Volkas

1971 ◽  
Vol 164 (3) ◽  
pp. 612-630 ◽  
Author(s):  
F.C. Khanna ◽  
H.C. Lee ◽  
M. Harvey

2018 ◽  
Vol 98 (6) ◽  
Author(s):  
James P. Vary ◽  
Robert Basili ◽  
Weijie Du ◽  
Matthew Lockner ◽  
Pieter Maris ◽  
...  
Keyword(s):  

2000 ◽  
Vol 472 (3-4) ◽  
pp. 302-308 ◽  
Author(s):  
J. Cline ◽  
C. Grojean ◽  
G. Servant
Keyword(s):  

2018 ◽  
Vol 45 (3) ◽  
pp. 035102
Author(s):  
E Derbali ◽  
P Van Isacker ◽  
B Tellili ◽  
C Souga
Keyword(s):  

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