Explicit soft supersymmetry breaking in the heterotic M-theory B − L MSSM

Autor: Anthony Ashmore, Sebastian Dumitru, Burt A. Ovrut
Přispěvatelé: Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)
Jazyk: angličtina
Rok vydání: 2021
Předmět:
High Energy Physics - Theory
Nuclear and High Energy Physics
FOS: Physical sciences
Vector bundle
QC770-798
superpotential
gaugino: condensation
Strings and branes phenomenology
01 natural sciences
Moduli
Theoretical physics
High Energy Physics - Phenomenology (hep-ph)
Mathematics::Algebraic Geometry
Line bundle
Nuclear and particle physics. Atomic energy. Radioactivity
strong coupling
0103 physical sciences
moduli
010306 general physics
supersymmetry: symmetry breaking
Mathematics::Symplectic Geometry
energy: low
Physics
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]
010308 nuclear & particles physics
effective Lagrangian
High Energy Physics::Phenomenology
Gaugino
minimal supersymmetric standard model
hidden sector
Supersymmetry breaking
boundary condition
field theory: scalar
Hidden sector
High Energy Physics - Phenomenology
CERN LHC Coll
High Energy Physics - Theory (hep-th)
Supersymmetry Phenomenology
SU(4)
[PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph]
Bundle
moduli space
renormalization group
M-theory: heterotic
Gaugino condensation
Zdroj: Journal of High Energy Physics
Journal of High Energy Physics, Vol 2021, Iss 8, Pp 1-51 (2021)
Journal of High Energy Physics, Springer, 2021, 08, pp.033. ⟨10.1007/JHEP08(2021)033⟩
ISSN: 1126-6708
1029-8479
DOI: 10.1007/JHEP08(2021)033⟩
Popis: The strongly coupled heterotic M-theory vacuum for both the observable and hidden sectors of the $B-L$ MSSM theory is reviewed, including a discussion of the "bundle" constraints that both the observable sector $SU(4)$ vector bundle and the a hidden sector bundle induced from a line bundle must satisfy. Gaugino condensation is then introduced within this context, and the hidden sector bundles that exhibit gaugino condensation are presented. The condensation scale is computed, singling out one line bundle whose associated condensation scale is low enough to be compatible with the energy scales available at the LHC. The corresponding region of K\"ahler moduli space where all bundle constraints are satisfied is presented. The generic form of the moduli dependent $F$-terms due to a gaugino superpotential - which spontaneously break $N=1$ supersymmetry in this sector - is presented and then given explicitly for the unique line bundle associated with the low condensation scale. The moduli dependent coefficients for each of the gaugino and scalar field soft supersymmetry breaking terms are computed leading to a low-energy effective Lagrangian for the observable sector matter fields. We then show that at a large number of points in K\"ahler moduli space that satisfy all "bundle" constraints, these coefficients are initial conditions for the renormalization group equations which, at low energy, lead to completely realistic physics satisfying all phenomenological constraints. Finally, we show that a substantial number of these initial points also satisfy a final constraint arising from the quadratic Higgs-Higgs conjugate soft supersymmetry breaking term.
Comment: v2: typos corrected; 58 pages, 7 figures
Databáze: OpenAIRE
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