Missing scalars at the cosmological collider

Lu, Qianshu; Reece, Matthew; Xianyu, Zhong-Zhi

doi:10.1007/jhep12(2021)098

Cited by 36 publications

(21 citation statements)

References 53 publications

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“…The exponent N is an integer, while L is in general a real number. When ω = 0, the exponent L is often an integer or halfinteger, although exceptions exist [54]. In the nonanalytic piece, we see the characteristic oscillatory dependence on , described by two parameters, the frequency ω and the phase ϕ.…”

Section: Observablesmentioning

confidence: 92%

Precision calculation of inflation correlators at one loop

Wang

Xianyu

Zhong

2022

J. High Energ. Phys.

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We initiate a systematic study of precision calculation of the inflation correlators at the 1-loop level, starting in this paper with bosonic 1-loop bispectrum with chemical-potential enhancement. Such 1-loop processes could lead to important cosmological collider observables but are notoriously difficult to compute due to the lack of symmetries. We attack the problem from a direct numerical approach based on the real-time Schwinger-Keldysh formalism and show full numerical results for arbitrary kinematics containing both the oscillatory “signals” and the “backgrounds”. Our results show that, while the non-oscillatory part can be one to two orders of magnitude larger, the oscillatory signal can be separated out by applying appropriate high-pass filters. We have also compared the result with analytic estimates typically adopted in the literature. While the amplitude is comparable, there is a non-negligible deviation in the frequency of the oscillatory part away from the extreme squeezed limit.

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Section: Observablesmentioning

confidence: 92%

Precision calculation of inflation correlators at one loop

Wang

Xianyu

Zhong

2022

J. High Energ. Phys.

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“…(See the next section for details.) Furthermore, a loop-induced mass correction to the intermediate particle can introduce noninteger correction to α [42], a fact sometimes interpreted as particle decay width [1].…”

Section: Dissecting Cosmological Collider Signalsmentioning

confidence: 99%

“…These additional parameters can be used to extract more information from the observed signal. For instance, it was known that the scaling power α can be used to distinguish between tree and 1-loop signals [57], or to tell loop corrected masses from tree-level masses [42].…”

Section: Introductionmentioning

confidence: 99%

Phase Information in Cosmological Collider Signals

Qin,

Xianyu

2022

Preprint

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Massive particles produced during the cosmic inflation can imprint in the primordial non-Gaussianities as characteristic oscillating functions of various momentum ratios, known as cosmological collider signals. We initiate a study of the phase of the oscillating signals which can be unambiguously defined and measured. The phase can provide useful new information about the spin and the couplings of the intermediate heavy particles that cannot be obtained from the signal frequency and angular dependences alone. We also present new analytical results for full nonlocal signals from two typical 1-loop processes, enabling precise determination of the signal phase away from the squeezed limit.

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“…Said another way, if Q commutes with the Hamiltonian for a Lorentz invariant system, the Lagrangian (not the Lagrangian density) is invariant. 56 Now consider the case when the symmetry δφ does contain the time coordinate, but not time derivatives. Such charges typically do not commute with the Hamiltonian.…”

Section: B2 Symmetry Generatorsmentioning

confidence: 99%

“…The general recursion formula is given in equation (4.14), and is obtained by deforming the kinematics that the wavefunction depends on into the complex plane. The recursion relations as a sort of cosmological collider [23,34,35,[46][47][48][49][50][51][52][53][54][55][56][57]. 2 Scattering amplitudes can also satisfy soft theorems when there are cubic vertices present that are compatible with the nonlinearly realized symmetries, for example in the conformal dilaton [61], or in non-relativistic cases [62] (see also [63] for another relativistic example).…”

Section: Introductionmentioning

confidence: 99%

Soft limits of the wavefunction in exceptional scalar theories

Noah¹,

Joyce²

2022

Preprint

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We study the structure of the flat space wavefunctional in scalar field theories with nonlinearly realized symmetries. These symmetries imply soft theorems that are satisfied by wavefunction coefficients in the limit where one of the external momenta is scaled to zero. After elucidating the structure of these soft theorems in the nonlinear sigma model, Dirac-Born-Infeld, and galileon scalar theories, we combine them with information about the singularity structure of the wavefunction to bootstrap the wavefunction coefficients of these theories. We further systematize this construction through two types of recursion relations: one that utilizes the flat space scattering amplitude plus minimal information about soft limits, and an alternative that does not require amplitude input, but does require subleading soft information.

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Missing scalars at the cosmological collider

Cited by 36 publications

References 53 publications

Precision calculation of inflation correlators at one loop

Precision calculation of inflation correlators at one loop

Phase Information in Cosmological Collider Signals

Soft limits of the wavefunction in exceptional scalar theories

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