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Cosmic inflation and $(g-2)_\mu$ in minimal gauged $L_\mu-L_\tau$ model
High Energy Physics - Phenomenology · Submitted 15 Aug 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Although the structure seems to be trivial, we observe that taking into consideration of a complete cosmological history starting from inflation through the reheating phase to late-time epoch along with existing constraints on $U(1)_{L_\mu-L_\tau}$ model parameters leave us a small window of allowed reheating temperature.
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The abstract, sentence by sentence
The minimal $U(1)_{L_\mu-L_\tau}$ gauge symmetry extended Standard Model (SM) is a well motivated framework that resolves the discrepancy between the theoretical prediction and experimental observation of muon anomalous magnetic moment. We envisage the possibility of identifying the beyond Standard Model Higgs of $U(1)_{L_\mu-L_\tau}$ sector, non-minimally coupled to gravity, as the inflaton in the early universe, while being consistent with the $(g-2)_\mu$ data. Although the structure seems to be trivial, we observe that taking into consideration of a complete cosmological history starting from inflation through the reheating phase to late-time epoch along with existing constraints on $U(1)_{L_\mu-L_\tau}$ model parameters leave us a small window of allowed reheating temperature. This further results into restriction of $(n_s-r)$ plane which is far severe than the one in a generic non-minimal quartic inflationary set up.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The minimal $U(1)_{L_\mu-L_\tau}$ gauge symmetry extended Standard Model (SM) is a well motivated framework that resolves the discrepancy between the theoretical prediction and experimental observation of muon anomalous magnetic moment. | background 1.00 | 0.05 | 0.06 | asserted 1.00 |
| s1 | We envisage the possibility of identifying the beyond Standard Model Higgs of $U(1)_{L_\mu-L_\tau}$ sector, non-minimally coupled to gravity, as the inflaton in the early universe, while being consistent with the $(g-2)_\mu$ data. | contribution 0.95 | 0.43 | 0.19 | hedged possibility 0.71 |
| s2 | Although the structure seems to be trivial, we observe that taking into consideration of a complete cosmological history starting from inflation through the reheating phase to late-time epoch along with existing constraints on $U(1)_{L_\mu-L_\tau}$ model parameters leave us a small window of allowed reheating temperature. | result 0.97 | 0.90 | 0.50 | asserted 0.99 |
| s3 | This further results into restriction of $(n_s-r)$ plane which is far severe than the one in a generic non-minimal quartic inflationary set up. | result 0.83 | 0.86 | 0.28 | asserted 1.00 |
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The paper
Original abstract
The minimal $U(1)_{L_\mu-L_\tau}$ gauge symmetry extended Standard Model (SM) is a well motivated framework that resolves the discrepancy between the theoretical prediction and experimental observation of muon anomalous magnetic moment. We envisage the possibility of identifying the beyond Standard Model Higgs of $U(1)_{L_\mu-L_\tau}$ sector, non-minimally coupled to gravity, as the inflaton in the early universe, while being consistent with the $(g-2)_\mu$ data. Although the structure seems to be trivial, we observe that taking into consideration of a complete cosmological history starting from inflation through the reheating phase to late-time epoch along with existing constraints on $U(1)_{L_\mu-L_\tau}$ model parameters leave us a small window of allowed reheating temperature. This further results into restriction of $(n_s-r)$ plane which is far severe than the one in a generic non-minimal quartic inflationary set up.
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How the literature uses it
1 arXiv paper cite this in 1 sentence
What it cites · 45 sentences without a confident label
Uses the method or tool of 1 paper
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In this modified set up of quartic inflation, one can simply estimate the values of spectral index ($n_s$), $r$ and scalar curvature perturbation spectrum $P_s$, under the slow roll approximation and using the conventional approach [ref] .
Tensor to Scalar Ratio in Non-Minimal $\phi^4$ Inflation · The proposed methodology · 0.81
Uses data or values from 2 papers
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On the other hand, the successful dynamics of inflation in generating the observed value of scalar curvature spectrum [ref] uniquely fixes $λ_ϕ$ as a function of the non-minimal coupling parameter $ξ$.
Planck 2018 results. X. Constraints on inflation · The proposed methodology · 0.84
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A precise analysis of the combined experimental data reveals [ref] , [equation] where we define $a_μ=(g-2/2)_μ$.
2104.03281 · Introduction · 0.97
Cites as support 3 papers
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In fact, the preheating solely is unable to drain the total energy density out of the inflaton field as observed from rigorous lattice simulation [ref] .
Non-thermal production of Dark Matter after Inflation · Post-Inflationary dynamics and Reheating · 0.99
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In fact, the preheating solely is unable to drain the total energy density out of the inflaton field as observed from rigorous lattice simulation [ref] .
(P)reheating after minimal Plateau Inflation and constraints from CMB · Post-Inflationary dynamics and Reheating · 0.99
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In fact, the preheating solely is unable to drain the total energy density out of the inflaton field as observed from rigorous lattice simulation [ref] .
Equation of state and Beginning of Thermalization After Preheating · Post-Inflationary dynamics and Reheating · 0.99
Cites as background 3 papers
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In particular we examine the viability of $(g-2)_μ$ satisfying parameter space in providing a consistent cosmological scenario from the onset of primordial inflation to the end of matter-radiation equality with the intermediate reheating phase [ref] .
Universe Reheating after Inflation · Introduction · 0.86
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In particular we examine the viability of $(g-2)_μ$ satisfying parameter space in providing a consistent cosmological scenario from the onset of primordial inflation to the end of matter-radiation equality with the intermediate reheating phase [ref] .
Reheating after Inflation · Introduction · 0.86
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It is worth mentioning that inflection point inflation scenarios in a few Abelian gauge (e.g. $U(1)_B-L$ [ref] ) extended models have been widely studied, which does not require the non-minimal coupling to gravity in order to flatten the quartic inflationary potential.
Inflection-point Higgs Inflation · The proposed methodology · 0.92
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