The Rotation Groups

Silberger, D. M.; Silberger, Sylvia

doi:10.1016/b978-0-12-750550-3.50019-7

Cited by 3 publications

(2 citation statements)

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“…contains representations of all dimensions, not just 'scalar' representations in the sense of Ceresole et al8 Explicit formulae for the d mn were given by Wigner[86]. Their generating function was computed by Schwinger[87].…”

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confidence: 99%

Non-Gaussianity in D3-brane inflation

Marzouk

Maraio

Seery

2022

J. Cosmol. Astropart. Phys.

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We update predictions for observables in the `delicate' D3/D3 inflationary model on the conifold. We use a full CMB likelihood calculation to assess goodness-of-fit, which is necessary because in this model the ζ power spectrum often cannot be approximated as a power-law over observable scales. For the first time we are able to provide accurate forecasts for the amplitude of three-point correlations. In a significant portion of its parameter space the model follows Maldacena's single-field prediction f_NL≈ -(5/12)(ns-1) if |nt| ≪ 1. Therefore |fNL| is usually small when the power spectrum satisfies observational constraints. In a small number of cases the bispectrum is instead dominated by effects from rapid switching between angular minima. The resulting amplitudes are larger, but mostly with unacceptable spectral behaviour. In the most extreme case we obtain |fNL eq| ∼ 75 at kt/3 = 0.002 Mpc-1. It has been suggested that the quasi-single field inflation (`QSFI') mechanism could produce significant 3-point correlations in this model. We do observe rare shifts in amplitude between equilateral and squeezed configurations that could possibly be associated with QSFI effects, but more investigation is needed to establish the full bispectrum shape. There is evidence of `shape' running between equilateral and squeezed configurations that may be inherited from the scale dependence of the spectrum. We explore the dependence of observables on discrete choices such as the truncation point of the potential. Our analysis illustrates the advantages of a standard format for information exchange within the inflationary model-building and testing community.

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confidence: 99%

Non-Gaussianity in D3-brane inflation

Marzouk

Maraio

Seery

2022

J. Cosmol. Astropart. Phys.

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“…contains representations of all dimensions, not just 'scalar' representations in the sense of Ceresole et al8 Explicit formulae for the d mn were given by Wigner[85]. Their generating function was computed by Schwinger[86].…”

mentioning

confidence: 99%

Non-Gaussianity in D3-brane inflation

Marzouk,

Maraio,

Seery

2021

Preprint

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We update predictions for observables in the 'delicate' D3/D3 inflationary model on the conifold. We use a full CMB likelihood calculation to assess goodness-of-fit, which is necessary because in this model the ζ power spectrum often cannot be modelled as a power-law over observable scales. For the first time we are able to provide accurate forecasts for the amplitude of three-point correlations. In a significant portion of its parameter space the model follows Maldacena's single-field prediction1. Therefore |f NL | is usually small when the power spectrum satisfies observational constraints. In a small number of cases the bispectrum is instead dominated by effects from rapid switching between angular minima. The resulting amplitudes are larger, but mostly with unacceptable spectral behaviour. In the most extreme case we obtain |f eq NL | ∼ 75 at k t /3 = 0.002 Mpc −1 . It has been suggested that the quasi-single field inflation ('QSFI') mechanism could produce significant 3-point correlations in this model. We do observe rare shifts in amplitude between equilateral and squeezed configurations that could possibly be associated with QSFI effects, but more investigation is needed to establish the full bispectrum shape. There is evidence of 'shape' running between equilateral and squeezed configurations that may be inherited from the scale dependence of the spectrum. We explore the dependence of observables on discrete choices such as the truncation point of the potential. Our analysis illustrates the advantages of a standard format for information exchange within the inflationary model-building and testing community.

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First Measurement of the Decay Asymmetry in the Pure W -Boson-Exchange Decay Λc+→
Ablikim,
Achasov,
Adlarson
et al. 2024
Phys. Rev. Lett.

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Based on 4.4 fb−1 of e+e− annihilation data collected at the center-of-mass energies between 4.60 and 4.70 GeV with the BESIII detector at the BEPCII collider, the pure W-boson-exchange decay Λc+→Ξ0K+ is studied with a full angular analysis. The corresponding decay asymmetry is measured for the first time to be αΞ0K+=0.01±0.16(stat)±0.03(syst). This result reflects the noninterference effect between the S- and P-wave amplitudes. The phase shift between S- and P-wave amplitudes has two solutions, which are δp−δs=−1.55±0.25(stat)±0.05(syst) rad or 1.59±0.25(stat)±0.05(syst) rad. Published by the American Physical Society 2024

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The Rotation Groups

Cited by 3 publications

References 1 publication

Non-Gaussianity in D3-brane inflation

Non-Gaussianity in D3-brane inflation

Non-Gaussianity in D3-brane inflation

First Measurement of the Decay Asymmetry in the Pure W -Boson-Exchange Decay Λc+→
Ablikim,
Achasov,
Adlarson
et al. 2024
Phys. Rev. Lett.

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The Rotation Groups

Cited by 3 publications

References 1 publication

Non-Gaussianity in D3-brane inflation

Non-Gaussianity in D3-brane inflation

Non-Gaussianity in D3-brane inflation

First Measurement of the Decay Asymmetry in the Pure W -Boson-Exchange Decay Λc+→Ablikim, Achasov, Adlarson et al. 2024Phys. Rev. Lett.

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First Measurement of the Decay Asymmetry in the Pure W -Boson-Exchange Decay Λc+→
Ablikim,
Achasov,
Adlarson
et al. 2024
Phys. Rev. Lett.