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Quantifying the tension between the Higgs mass and (g-2)_mu in the CMSSM
High Energy Physics - Phenomenology · Submitted 26 Nov 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that for m_h > 125 GeV the maximum level of discrepancy given current data (~ 3.3 sigma) is already achieved.
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The abstract, sentence by sentence
Supersymmetry has been often invoqued as the new physics that might reconcile the experimental muon magnetic anomaly, a_mu, with the theoretical prediction (basing the computation of the hadronic contribution on e^+ e^- data). However, in the context of the CMSSM, the required supersymmetric contributions (which grow with decreasing supersymmetric masses) are in potential tension with a possibly large Higgs mass (which requires large stop masses). In the limit of very large m_h supersymmetry gets decoupled, and the CMSSM must show the same discrepancy as the SM with a_mu . But it is much less clear for which size of m_h does the tension start to be unbearable. In this paper, we quantify this tension with the help of Bayesian techniques. We find that for m_h > 125 GeV the maximum level of discrepancy given current data (~ 3.3 sigma) is already achieved. Requiring less than 3 sigma discrepancy, implies m_h < 120 GeV. For a larger Higgs mass we should give up either the CMSSM model or the computation of a_mu based on e^+ e^-; or accept living with such inconsistency.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Supersymmetry has been often invoqued as the new physics that might reconcile the experimental muon magnetic anomaly, a_mu, with the theoretical prediction (basing the computation of the hadronic contribution on e^+ e^- data). | background 1.00 | 0.04 | 0.02 | hedged possibility 0.47 |
| s1 | However, in the context of the CMSSM, the required supersymmetric contributions (which grow with decreasing supersymmetric masses) are in potential tension with a possibly large Higgs mass (which requires large stop masses). | background 0.98 | 0.10 | 0.05 | hedged possibility 0.74 |
| s2 | In the limit of very large m_h supersymmetry gets decoupled, and the CMSSM must show the same discrepancy as the SM with a_mu . | background 0.98 | 0.10 | 0.04 | asserted 1.00 |
| s3 | But it is much less clear for which size of m_h does the tension start to be unbearable. | gap 1.00 | 0.05 | 0.03 | unclear 0.51 |
| s4 | In this paper, we quantify this tension with the help of Bayesian techniques. | method 0.54 | 0.85 | 0.04 | asserted 0.97 |
| s5 | We find that for m_h > 125 GeV the maximum level of discrepancy given current data (~ 3.3 sigma) is already achieved. | result 1.00 | 0.95 | 0.53 | asserted 1.00 |
| s6 | Requiring less than 3 sigma discrepancy, implies m_h < 120 GeV. | result 0.97 | 0.90 | 0.29 | asserted 0.98 |
| s7 | For a larger Higgs mass we should give up either the CMSSM model or the computation of a_mu based on e^+ e^-; or accept living with such inconsistency. | interpretation 1.00 | 0.47 | 0.32 | asserted 0.69 |
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The paper
Original abstract
Supersymmetry has been often invoqued as the new physics that might reconcile the experimental muon magnetic anomaly, a_mu, with the theoretical prediction (basing the computation of the hadronic contribution on e^+ e^- data). However, in the context of the CMSSM, the required supersymmetric contributions (which grow with decreasing supersymmetric masses) are in potential tension with a possibly large Higgs mass (which requires large stop masses). In the limit of very large m_h supersymmetry gets decoupled, and the CMSSM must show the same discrepancy as the SM with a_mu . But it is much less clear for which size of m_h does the tension start to be unbearable. In this paper, we quantify this tension with the help of Bayesian techniques. We find that for m_h > 125 GeV the maximum level of discrepancy given current data (~ 3.3 sigma) is already achieved. Requiring less than 3 sigma discrepancy, implies m_h < 120 GeV. For a larger Higgs mass we should give up either the CMSSM model or the computation of a_mu based on e^+ e^-; or accept living with such inconsistency.
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References
How the literature uses it
5 arXiv papers cite this in 7 sentences
Papers citing it · 4 sentences without a confident label
Cites it as support 1 paper
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It has been shown in several studies (see, e.g., [ref] ) that this cannot be achieved in constrained models, due to the fact that the soft scalar masses for squarks and sleptons are unified at the GUT scale.
Dark matter and collider signatures of the MSSM · Introduction · 0.96
Cites it as background 1 paper
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The use of Bayesian model comparison is not so common in particle physics, however see e.g. [ref] .
Chasing a consistent picture for dark matter direct searches · Introduction · 0.92
What it cites · 14 sentences without a confident label
Uses the method or tool of 14 papers
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Such test was called $ℒ-$test in Ref. [ref] .
Are BR(b->s gamma) and (g-2)_muon consistent within the Constrained MSSM? · Quantifying the tension between $m_h$ and $a_μ$ · 0.88
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For the numerical calculation we have used the MultiNest [ref] algorithm as implemented in the code [ref] .
Implications for the Constrained MSSM from a new prediction for b to s gamma · Quantifying the tension between $m_h$ and $a_μ$ · 1.00
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For the numerical calculation we have used the MultiNest [ref] algorithm as implemented in the code [ref] .
A Markov Chain Monte Carlo Analysis of the CMSSM · Quantifying the tension between $m_h$ and $a_μ$ · 1.00
Cites as background 16 papers
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The main supersymmetric (CMSSM) contributions to $a_μ$ come from 1-loop diagrams with chargino-sneutrino and neutralino-smuon exchange [ref] .
The Muon Magnetic Moment and Supersymmetry · Introduction · 0.98
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[ref] for a recent frequentist analysis of the MSSM.]. $p(θ)$ is the prior, i.e. the probability density that we assign the points in the parameter space before seeing the data (in the context of Bayesian inference, the prior for a new cycle of observations can be taken to be the posterior from previous experiments).
Likelihood Functions for Supersymmetric Observables in Frequentist Analyses of the CMSSM and NUHM1 · Quantifying the tension between $m_h$ and $a_μ$ · 0.90
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Finally, let us mention that a lot of effort has been done in the literature to determine the most probable region of the parameter space of the CMSSM [ref] .
The impact of priors and observables on parameter inferences in the Constrained MSSM · Probability distributions for supersymmetric parameters · 1.00
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