The Electroweak Phase Transition within natural GNMSSM models Presenter: Christopher Harman...
Transcript of The Electroweak Phase Transition within natural GNMSSM models Presenter: Christopher Harman...
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The Electroweak Phase Transition within natural GNMSSM models
Presenter: Christopher HarmanSupervisor: Dr. Stephan Huber
University of Sussex
Image courtesy of: http://www.symmetrymagazine.org/article/october-2012/what-else-could-the-higgs-be
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What is supersymmetry?
SUSYSUSYSTANSTAN
SUPERSYMMETRY INVARIANT THEORYSUPERSYMMETRY INVARIANT THEORY
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What is supersymmetry?
SUSYSUSY
STANSTAN
SUPERSYMMETRY INVARIANT THEORYSUPERSYMMETRY INVARIANT THEORY
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What is natural supersymmetry?
FESTIVE EDITIONFESTIVE EDITION
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What is natural supersymmetry?
natural
unnatural
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What is natural supersymmetry?
natural
unnatural excluded
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What is the MSSM?
MSSM: Minimal Supersymmetric Standard Model
Motivation: To address deviations (?) and physics not addressed by the Standard ModelTheory: A type II 2HDM with supersymmetry invariance at the high-scale and soft SUSY broken terms to describe the low energy scales
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What is the NMSSM?
NMSSM: Next-to-MSSM
Motivation: To resolve the μ-problemTheory: Include a singlet chiral superfield into the Higgs sector of the MSSM
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GNMSSM: Generalised NMSSM
Motivation: Include all possible renormalisable terms in the superpotential
What is the GNMSSM?
Not in the scale-invariant NMSSM
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Aim of the project
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Aim of the project
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The (effective) potential is given by
with CP violating phases ``switched off’’.
It contains the following free parameters
The one loop zero temperature potential
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Parameter point scan
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Randomly assign a (natural) value
Parameter point scan
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Randomly assign a (natural) valueEnsure: 1.No linear term in S at the zero field value2.Zero field minimum and EW broken minimum are degenerate (CHOICE!)
Parameter point scan
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Randomly assign a (natural) valueEnsure: 1.No linear term in S at the zero field value2.Zero field minimum and EW broken minimum are degenerate (CHOICE!)Record parameter points satisfying certain criteria, e.g.: stable potential, physical masses.
Parameter point scan
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At tree level
At tree level, we find
but this is insufficient for a 125 GeV Higgs…
… go to one-loop level!
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Aim of the project
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Aim of the project
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Parameter point scan
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Choose a specific stop structure:1.No gauge eigenstate mixing:2.Stop soft mass deviation:
Parameter point scan
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Choose a specific stop structure:1.No gauge eigenstate mixing:2.Stop soft mass deviation:Assign a value to Δm3 and scan over natural values of mQ3 until a 125 GeV Higgs is obtained
Parameter point scan
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Parameter point scan (two distinct potential shapes)
TYPE 1
Tree
1 loop
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Parameter point scan (two distinct potential shapes)
TYPE 1
1 loop
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Parameter point scan (two distinct potential shapes)
TYPE 2
Tree
1 loop
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Parameter point scan (two distinct potential shapes)
TYPE 2
1 loop
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Aim of the project
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Aim of the project
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One loop finite temperature potential
Include to the potential the following term:
We implement this into our program and obtain values for the critical temperature and critical VEV by numerical means
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One loop level (finite temperature)
We implement this into our program and obtain values for the critical temperature and critical VEV by numerical means Tree
1 loop (0T)1 loop (finite T)TYPE 1
TYPE 2
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Aim of the project
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Aim of the project
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Aim of the project
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Outlook
CONCLUSIONS:•Can have a 125 GeV Higgs in the GNMSSM•EWPT is found to be rather strongly first order for around 200 natural parameter points
FUTURE WORK:•Relax some of our choices:– Tree-level minima degeneracy (Aλ choice);– No stop mixing (At choice);– Stop soft mass deviation (Δm3 choice)
•Repeat the analysis
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Thank you!
S. Martin, A SUSY Primer: http://arxiv.org/abs/hep-ph/9709356U. Ellwanger, The NMSSM: http://arxiv.org/abs/arXiv:0910.1785G. Ross et al., The GNMSSM at one loop: fine tuning and phenomenologyG. Anderson and L. Hall, The Electroweak phase transition and baryogenesis
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• Gauge eigenstate basis:
• Mass eigenstate basis:CP-even partCP-even part CP-odd partCP-odd part
Charged partCharged part
The tree-level potential
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One-loop level (zero temperature)Green – Exact solution with degenerate stopsRed – Naïve solution with non-degenerate stops
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One-loop level (finite temperature)
Include to the potential the following term:
Piece-wise analytic function can be constructed
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Finite temperature potential (analytic)
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Parameter scan statistics
Models with an unstable singlet potential only: 17.9477 %Models with at least one unphysical mass only: 6.40353 %Models with both of the above issues: 73.7124 %Models with none of the above issues: 1.93641 %
Runs: 20192 Successes: 20192