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The ability to infer properties of primordial inflation relies on the conservation of the superhorizon perturbations between their exit during inflation, and their re-entry during radiation era. Any considerable departure from this property…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-29 Markus B. Fröb , Dražen Glavan , Paolo Meda , Ignacy Sawicki

We calculate 1-loop corrections to the Schwinger-Keldysh propagators of Standard-Model-like fields of spin-0, 1/2, and 1, with all renormalizable interactions during inflation. We pay special attention to the late-time divergences of loop…

High Energy Physics - Theory · Physics 2016-08-16 Xingang Chen , Yi Wang , Zhong-Zhi Xianyu

Primordial black holes can be formed from the collapse of large-amplitude perturbation on small scales in the early Universe. Such an enhanced spectrum can be realized by introducing a flat region in the potential of single-field inflation,…

High Energy Physics - Theory · Physics 2024-05-30 Jason Kristiano , Jun'ichi Yokoyama

Violating the slow-roll regime during the final stages of inflation can significantly enhance curvature perturbations, a scenario often invoked in models producing primordial black holes and small-scale scalar induced gravitational waves.…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-08 Angelo Caravano , Gabriele Franciolini , Sébastien Renaux-Petel

Using the $\delta N$ formalism we calculate the one-loop correction to the large-scale power spectrum of the curvature perturbation in the standard scenario where primordial black holes are formed in the early universe thanks to a phase of…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-18 Hassan Firouzjahi , Antonio Riotto

In order to produce appreciable amount of primordial black holes (PBHs), the square amplitude of curvature perturbation must take a large value of $\mathcal{O}(0.01)$, namely, seven digits larger than the value observed by cosmic microwave…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-08 Jason Kristiano , Jun'ichi Yokoyama

Loop corrections to primordial correlation functions are unavoidable due to the non-linear nature of gravity. Previous works have established a robust framework for computing the renormalised one-loop power spectra of scalar and tensor…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-13 Matteo Braglia , Sebastián Céspedes , Lucas Pinol

We calculate one-loop correction to the two-point functions of curvature perturbation in single-field inflation generated by cubic self-interaction. Incorporating the observed red-tilted spectrum of curvature perturbation, the relevant…

High Energy Physics - Theory · Physics 2022-07-05 Jason Kristiano , Jun'ichi Yokoyama

We examine one-loop corrections from small-scale curvature perturbations to the superhorizon-limit ones in single-field inflation models, which have recently caused controversy. We consider the case where the Universe experiences…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-03 Keisuke Inomata

We compute the full one-loop corrections to the primordial tensor power spectrum in an inflationary scenario with a non-minimally coupled spectator field, using the in-in formalism. We derive semi-analytic results for the scalar-sourced…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-14 Zhe Li , Chen Yuan , Qing-Guo Huang

We compute one-loop corrections to the power spectrum of the curvature perturbation in single-field slow-roll inflation arising from gravitons and inflaton interactions. The quantum corrections due to gravitons to the power spectrum of the…

Astrophysics · Physics 2011-07-13 Emanuela Dimastrogiovanni , Nicola Bartolo

We study non-linear contributions to the power spectrum of the curvature perturbation on super-horizon scales, produced during slow-roll inflation driven by a canonical single scalar field. We find that on large scales the linear power…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Jinn-Ouk Gong , Hyerim Noh , Jai-chan Hwang

We reconsider back-reaction from large amplitude, short-scale perturbations onto a long wavelength adiabatic mode. In a loop expansion of the long-mode power spectrum, this back-reaction appears first at 1-loop. Due to the separation…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-21 Laura Iacconi , David Mulryne , David Seery

We perform a thorough computation of the one-loop corrections from both scalar and tensor degrees of freedom to the power spectrum of curvature fluctuations for non-canonical Lagrangians in single-field inflation. We consider models…

Cosmology and Nongalactic Astrophysics · Physics 2011-01-27 Nicola Bartolo , Emanuela Dimastrogiovanni , Alberto Vallinotto

We prove the absence of scale-invariant one-loop corrections to the superhorizon curvature perturbations from small-scale (potentially enhanced) scalar perturbations in a general inflationary setup, including the transient ultra-slow-roll…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-03 Yohei Ema , Muzi Hong , Ryusuke Jinno , Kyohei Mukaida

We show that the superhorizon-limit curvature perturbations are conserved at one-loop level in single-field inflation models with a transient non-slow-roll period. We take the spatially-flat gauge, where the backreaction plays a crucial…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-13 Keisuke Inomata

It is known that the Higgs potential in the Standard Model can drive a successful inflation as long as the Higgs field couples non-minimally to gravity. It is then inevitable to take into account the loop corrections of the Standard Model…

High Energy Physics - Phenomenology · Physics 2020-05-04 Po-Wen Chang , Cheng-Wei Chiang , Kin-Wang Ng

It is known that the single-field inflation with a transient ultra-slow-roll phase can produce a large curvature perturbation at small scales for the formation of primordial black holes. In our previous work, we have considered quantum loop…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-09 Shu-Lin Cheng , Da-Shin Lee , Kin-Wang Ng

We investigate the one loop effective potential of inflation in a standard model of chaotic inflation. The leading one loop corrections to the effective inflaton potential are evaluated in the quasi de Sitter background, and we estimate the…

Astrophysics · Physics 2009-11-11 Martin S. Sloth

We examine the quantum loop effects on the single-field inflationary models in a spatially flat Friedmann-Robertson-Walker (FRW) cosmological space-time with a general self-interacting scalar field potential, which is modeled in terms of…

General Relativity and Quantum Cosmology · Physics 2020-02-05 Wei-Can Syu , Da-Shin Lee , Kin-Wang Ng