Topics in Theoretical Particle Physics and Cosmology
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Higgs As Curvaton in Asymptotic Safe Gravity Scenario
Higgs As Curvaton in Asymptotic Safe Gravity Scenario Taotao Qiu LeCosPA Center, National Taiwan University 2013/06/17 Based on: Y.-F. Cai, Y.-C. Chang, P. Chen, D. A. Easson1 , T. Qiu, arXiv:1304.6938 [hep-th]. Outline Higgs vs. Cosmology Preliminary of Asyptotic Safe Gravity Our model of Higgs Curvaton in ASG background perturbation non-Gaussianities contraints form Planck data Conclusion 2 Higgs vs. Cosmology 3 The discovery of Higgs Boson Recently, two groups (ATLAS and CMS) in LHC experiment have confirmed the existence of Higgs boson particles predicted in standard model particle physics with the mass value CMS Collaboration 4 ATLAS Collaboration Can Higgs play a role in Cosmology? Connecting cosmology with particle physics: Scalar fields: cosmology Particle physics inflaton, curvaton, Higgs boson quintessence…… Attempts & Problems: Higgs inflation unitarity problem C. P. Burgess, H. M. Lee and M. Trott, JHEP 0909, 103 (2009). Higgs curvaton Too small energy density ratio cannot give rise to enouph perturbation. T. Kunimitsu and J. 'i. Yokoyama, Phys. Rev. D 86, 083541 (2012); K. -Y. Choi and Q. -G. Huang, arXiv:1209.22775 [hep-ph]. The problem of Higgs as a curvaton The problem of Higgs curvaton: When Higgs is to be curvaton, the value of Higgs field h remains constant till the curvaton decays, when the effective mass is close to Hubble parameter: which induces Too small to fit the observational data! K. -Y. Choi and Q. -G. Huang, arXiv:1209.2277 [hep-ph]. Can the problem be solved in framework of Asymptotic Safe Gravity? 6 Preliminary of Asyptotic Safe Gravity 7 Problem: Quantization of Gravity In quantum field theory, people often check the renormaliza- bility of any terms in Lagrangian by its coupling constant! Consider the operator in the lagrangian: renormalizable Super- renormalizable non- renormalizable Another non-renormalizable example is the operator of Einstein- Hilbert Gravity , whose coupling constant is with 8 What is Asymptotic Safe Gravity (ASG) Proposal 1970’s by Steven Weinberg S. -
Higgs Boson in RG Running Inflationary Cosmology
Higgs Boson in RG running Inflationary Cosmology 1,2, 1, Yi-Fu Cai ∗ and Damien A. Easson † 1Department of Physics, Arizona State University, Tempe, AZ 85287 2Department of Physics, McGill University, Montr´eal, QC, H3A 2T8, Canada An intriguing hypothesis is that gravity may be non-perturbatively renormalizable via the notion of asymptotic safety. We show that the Higgs sector of the SM minimally coupled to asymptotically safe gravity can generate the observed near scale-invariant spectrum of the Cosmic Microwave Back- ground through the curvaton mechanism. The resulting primordial power spectrum places an upper bound on the Higgs mass, which for finely tuned values of the curvaton parameters, is compatible with the recently released Large Hadron Collider data. PACS numbers: 98.80.Cq I. INTRODUCTION play an important role in the early inflationary universe if the gravitational theory is asymptotically safe. Although at present there is no explicit proof of the asymptotical Weinberg has suggested that the effective description safety, it deserves to ask whether the gravity theories un- of a quantum gravitational theory may be nonperturba- der asymptotical safety are testable in any experiment. tively renormalizable through the notion of asymptotic The current study is exactly based on a specific trunca- safety (AS) [1, 2]. In such a scenario the renormalization tion of the gravity action and certain form of RG equa- group (RG) flows approach a fixed point in the ultravio- tions according to the conjecture of asymptotical safety. let (UV) limit, and a finite dimensional critical surface of In the frame of AS gravity, the gravitational constant trajectories evolves to this point at short distance scales G and cosmological constant Λ are running along with [3, 4]. -
Implications of Gravitational Waves for Supersymmetric Grand Unification
PHYSICAL REVIEW D 104, 035031 (2021) Implications of gravitational waves for supersymmetric grand unification So Chigusa ,1,2,3 Yuichiro Nakai,4 and Jiaming Zheng4 1Berkeley Center for Theoretical Physics, Department of Physics, University of California, Berkeley, California 94720, USA 2Theoretical Physics Group, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA 3KEK Theory Center, IPNS, KEK, Tsukuba, Ibaraki 305-0801, Japan 4Tsung-Dao Lee Institute and School of Physics and Astronomy, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, 200240 China (Received 22 November 2020; accepted 26 July 2021; published 27 August 2021) Supersymmetric grand unification based on SOð10Þ is one of the most attractive paradigms in physics beyond the Standard Model. Inspired by the recent NANOGrav signal, we discuss the implications of detecting a stochastic gravitational wave background emitted by a network of cosmic strings for the SOð10Þ grand unification. Starting from a minimal model with multiple steps of symmetry breaking, we show that it generally prefers a high intermediate scale above 1014 GeV that is favored by observable primordial gravitational waves. The observed spectrum can potentially narrow the possible range of the cosmic string scale and restricts the unified couplings and the unification scale by requiring gauge coupling unification. As an indirect consequence of the high cosmic string scale, the monopole abundance places nontrivial constraints on the theory. These are complementary to the proton decay constraints and probe different facets of supersymmetric SOð10Þ unification theories. DOI: 10.1103/PhysRevD.104.035031 I. INTRODUCTION the dark matter [11,12]. Therefore, the supersymmetric SOð10Þ grand unified theory (GUT) is one of the most The structure of the Standard Model (SM) matter sector, compelling frameworks of physics beyond the SM. -
Curvaton in Large Field Inflation
ICRR-Report-676-2014-2 IPMU 14-0089 Prepared for submission to JCAP Curvaton in large field inflation Tomohiro Fujitaa;b Masahiro Kawasakic Shuichiro Yokoyamac aKavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU), TODIAS, the University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, 277-8583, Japan bDepartment of Physics, University of Tokyo, Bunkyo-ku 113-0033, Japan cInstitute for Cosmic Ray Research, University of Tokyo, 5-1-5 Kashiwa-no-Ha, Kashiwa, Chiba, 277-8582, Japan E-mail: [email protected], [email protected], [email protected] Abstract. We comprehensively explore the quadratic curvaton models in the chaotic infla- tion. In the light of the BICEP2 result r ≈ 0:2, all model parameters and relevant observ- ables are computed. It is found the curvaton field value is constrained into a narrow range, −2 −1 0 −3 σ∗ = O(10 -10 ) and the running of the spectral index is ns & −10 . We show that if the curvaton is added, the models are heavily degenerated on the ns - r plane. However, in- troducing a new plane, the degeneracy can be resolved. To distinguish the curvaton models, 0 precise measurements of not only r but also ns and the tensor tilt nT are required. Keywords: inflation ArXiv ePrint: 1404.0951 arXiv:1404.0951v2 [astro-ph.CO] 4 Jun 2014 Contents 1 Introduction1 2 Implication for the curvaton scenario with the chaotic inflation2 2.1 Brief Review on the chaotic inflation2 2.2 Curvaton contribution to the tensor-to-scalar ratio and the spectral index3 2.3 Degeneracy on the ns-r plane5 3 Distinguish the models?6 3.1 Tensor tilt and the running of the spectral index of the curvature perturbations7 0 3.2 Resolution of the degeneracy on the ns-(nT =r) plane9 4 Comments on non-Gaussianity and the curvaton field value 10 5 Conclusion 12 A The other parameters 13 1 Introduction The inflation paradigm is accepted as an increasingly plausible scenario of the primordial universe. -
Particle Physics Model of Curvaton Inflation in a Stable Universe
PHYSICAL REVIEW D 101, 063533 (2020) Particle physics model of curvaton inflation in a stable universe † Zoltán P´eli* and István Nándori MTA-DE Particle Physics Research Group, H-4010 Debrecen, PO Box 105, Hungary ‡ Zoltán Trócsányi Institute for Theoretical Physics, ELTE Eötvös Loránd University, Pázmány P´eter s´etány 1/A, H-1117 Budapest, Hungary and MTA-DE Particle Physics Research Group, H-4010 Debrecen, PO Box 105, Hungary (Received 26 November 2019; revised manuscript received 17 February 2020; accepted 6 March 2020; published 27 March 2020) We investigate a particle physics model for cosmic inflation based on the following assumptions: (i) there are at least two complex scalar fields; (ii) the scalar potential is bounded from below and remains perturbative up to the Planck scale; (iii) we assume slow-roll inflation with maximally correlated adiabatic and entropy fluctuations 50–60 e-folds before the end of inflation. The energy scale of the inflation is set automatically by the model. Assuming also at least one massive right-handed neutrino, we explore the allowed parameter space of the scalar potential as a function of the Yukawa coupling of this neutrino. DOI: 10.1103/PhysRevD.101.063533 I. INTRODUCTION only open questions in particle physics—such as the origin of neutrino masses—but also those in cosmology. The standard model (SM) of elementary particle inter- One of the vigorously studied questions in our under- actions [1] has been proven experimentally to high pre- standing of the early universe is the physics of cosmic cision at the Large Electron Positrion Collider [2] and also inflation. -
The Higgs Field and Early Universe Cosmology: a (Brief) Review
The Higgs field and early universe cosmology: a (brief) review Bart Horn∗ Manhattan College, Department of Physics, New York, NY 10471, USA Abstract We review and discuss recent work exploring the implications of the Higgs field for early universe cosmology, and vice versa. Depending on the model under consideration the Higgs may be one of a few scalar fields determining the evolution and fate of the Universe, or the Higgs field may be connected to a rich sector of scalar moduli with complicated dynamics. In particular we look at the potential consequences of the Higgs field for inflation and its predictions, for the (meta)stability of the Standard Model vacuum, and for the existence of dynamical selection mechanisms in the landscape. 1 Introduction: implications of mh = 125 GeV The observation of the Higgs boson in 2012 [1, 2], with a mass of 125 GeV, marked the last piece of the Standard Model (SM) of particle physics to be discovered and inaugurated a new era of precision Higgs boson physics. Further experiments have measured the properties and couplings of the Higgs boson to increasing levels of precision and confirmed the consistency of arXiv:2007.10377v1 [hep-ph] 20 Jul 2020 the discovered particle with the predicted properties of the SM Higgs boson [3, 4, 5]. Ongoing and planned experiments at the energy and intensity frontier [6, 7, 8, 9] will measure the Higgs boson couplings to greater levels of precision and test the predictions of the SM at higher energies. Despite the many recent successes, however, many deep questions remain. So far the Large Hadron Collider has not observed any evidence for weak-scale supersymmetry or other particles beyond the Standard Model, leaving the physics that sets the scale of the Higgs boson mass unresolved. -
The Birth, Life, and Death of Stars
The Birth, Life, and Death of Stars The Osher Lifelong Learning Institute Florida State University Jorge Piekarewicz Department of Physics [email protected] Schedule: September 29 – November 3 Time: 11:30am – 1:30pm Location: Pepper Center, Broad Auditorium J. Piekarewicz (FSU-Physics) The Birth, Life, and Death of Stars Fall 2014 1 / 14 Ten Compelling Questions What is the raw material for making stars and where did it come from? What forces of nature contribute to energy generation in stars? How and where did the chemical elements form? ? How long do stars live? How will our Sun die? How do massive stars explode? ? What are the remnants of such stellar explosions? What prevents all stars from dying as black holes? What is the minimum mass of a black hole? ? What is role of FSU researchers in answering these questions? J. Piekarewicz (FSU-Physics) The Birth, Life, and Death of Stars Fall 2014 2 / 14 Nucleosynthesis Big Bang: The Universe was created about 13.7 billion years ago BBN: Hydrogen, Helium, and traces of light nuclei formed after 3 minutes Sun displays a rich and diverse composition of chemical elements If the Solar System is rich in chemical elements other than H and He; where did they come from? J. Piekarewicz (FSU-Physics) The Birth, Life, and Death of Stars Fall 2014 3 / 14 The Human Blueprint Human beings are C-based lifeforms Human beings have Ca in our bones Human beings have Fe in our blood Human beings breath air rich in N and O If only Hydrogen and Helium were made in the Big Bang, how and where did the rest of the chemical elements form? J. -
Axionlike Origin of the Primordial Density Perturbation
Axionlike Origin of the Primordial Density Perturbation Takeshi Kobayashi Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Nagoya 464-8602, Japan E-mail: [email protected] We show that an axionlike field coupled to a new confining gauge group can generate the primordial density perturbation in the post-inflation universe. The axion decay constant and strong coupling scale are uniquely determined by observations of the density perturbation, which further suggest a temporal deconfinement of the gauge group after inflation. The resulting temperature-dependent axion potential, together with its periodic nature, gives rise to the red-tilted density perturbation, with a positive local-type non-Gaussianity of order unity. arXiv:2005.01741v2 [astro-ph.CO] 2 Jul 2020 1 Introduction The large-scale structure of our universe was seeded by tiny density fluctuations in the early universe. This picture of structure formation has been established by a variety of cosmological observations, which also revealed that the primordial density perturbation was adiabatic, nearly scale-invariant with a slight increase of the amplitude towards larger length scales (red-tilted), and nearly Gaussian. However, the physical origin of the density perturbation still remains a mystery. One possibility is that it was produced during cosmic inflation from fluctuations of the inflaton field. Alternatively, it could have been produced after inflation by another physical degree of freedom. In theories beyond the standard model of particle physics, the appearance of pseudo-Nambu- Goldstone bosons (PNGBs) of spontaneously broken global U(1) symmetries is ubiquitous. The most famous example is the QCD axion introduced for solving the strong CP problem [1]. -
Stability of a Tachyon Braneworld
Stability of a tachyon braneworld Gabriel Germán,a Alfredo Herrera-Aguilar,b;c André Martorano Kuerten,a;d Dagoberto Malagón–Morejón,a and Roldão da Rochae aInstituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Apartado Postal 48-3, 62251, Cuernavaca, Morelos, México bInstituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, 72570, Puebla, Puebla, México cInstituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Ciudad Universitaria, CP 58040, Morelia, Michoacán, México dCentro de Ciências Naturais e Humanas, Universidade Federal do ABC, 09210-580, Santo André, SP, Brazil eCentro de Matemática, Computação e Cognição, Universidade Federal do ABC, 09210-580, Santo André, SP, Brazil E-mail: gabriel@fis.unam.mx, malagon@fis.unam.mx, [email protected], [email protected], [email protected] Abstract. Within the braneworld paradigm the tachyonic scalar field has been used to gener- ate models that attempt to solve some of the open problems that physics faces nowadays, both in cosmology and high energy physics as well. When these field configurations are produced by the interplay of higher dimensional warped gravity with some matter content, braneworld models must prove to be stable under the whole set of small fluctuations of the gravitational and matter fields background, among other consistency tests. Here we present a complete proof of the stability under scalar perturbations of tachyonic thick braneworlds with an em- bedded maximally symmetric 4D space-time, revealing its physical consistency. This family of models contains a recently reported tachyonic de Sitter thick braneworld which possesses a series of appealing properties. -
Implications of the Curvaton on Inflationary Cosmology
Implications of the Curvaton on Inflationary Cosmology March 4, 2005 @ KEK, Tsukuba KEK theory meeting 2005 “Particle Physics Phenomenology” Tomo Takahashi ICRR, University of Tokyo Collaborators: Takeo Moroi (Tohoku) Yoshikazu Toyoda (Tohoku) 1. Introduction Inflation (a superluminal expansion at the early universe) [Guth 1980, Sato 1980] is one of the most promising ideas to solve the horizon and flatness problem. The potential energy of a scalar field (inflaton) causes inflation. ★ Inflation can also provide the seed of cosmic density perturbations today. Quantum fluctuation of the inflaton field during inflation can be the origin of today’s cosmic fluctuation. From observations of CMB, large scale structure, we can obtain constraints on inflation models. However, fluctuation can be provided by some sources other than fluctuation of the inflaton. From the viewpoint of particle physics, there can exist scalar fields other than the inflaton. (late-decaying moduli, Affleck-Dine fields, right-handed sneutrino...) What if another scalar field acquires primordial fluctuation? Such a field can also be the origin of today’s fluctuation. Curvaton field (since it can generate the curvature perturbation.) [Enqvist & Sloth, Lyth & Wands, Moroi & TT 2001] ★Generally, fluctuation of inflaton and curvaton can be both responsible for the today’s density fluctuation. What is the implication of the curvaton for This talk ➡ constraints on models of inflation? 2. Generation of fluctuations: Standard case Primordial fluctuation: the standard case a˙ H H ≡ :Hubble parameter The quantum fluctuation of the inflaton δχ ∼ a 2π dχ χ˙ ≡ H dt The curvature perturbation R ∼ − δχ χ˙ The power spectrum of R . Inflation RD MD (The initial power spectrum) Scale horizon scale 2 2 2 H H horizon crossing PR(k) ∼< R >∼ ! χ˙ " !2π " #k=aH # # Inside the horizon Almost scale-invariant spectrum Scale factor a reheating ns−1 Generally, it can be written as a power-law form; PR ∝ k ★ ns depends on models of inflation What is the discriminators of models of inflation? ns−1 The initial power spectrum ( P R ∝ k ) depends on models. -
Self-Oscillation
Self-oscillation Alejandro Jenkins∗ High Energy Physics, 505 Keen Building, Florida State University, Tallahassee, FL 32306-4350, USA Physicists are very familiar with forced and parametric resonance, but usually not with self- oscillation, a property of certain dynamical systems that gives rise to a great variety of vibrations, both useful and destructive. In a self-oscillator, the driving force is controlled by the oscillation itself so that it acts in phase with the velocity, causing a negative damping that feeds energy into the vi- bration: no external rate needs to be adjusted to the resonant frequency. The famous collapse of the Tacoma Narrows bridge in 1940, often attributed by introductory physics texts to forced resonance, was actually a self-oscillation, as was the swaying of the London Millennium Footbridge in 2000. Clocks are self-oscillators, as are bowed and wind musical instruments. The heart is a \relaxation oscillator," i.e., a non-sinusoidal self-oscillator whose period is determined by sudden, nonlinear switching at thresholds. We review the general criterion that determines whether a linear system can self-oscillate. We then describe the limiting cycles of the simplest nonlinear self-oscillators, as well as the ability of two or more coupled self-oscillators to become spontaneously synchronized (\entrained"). We characterize the operation of motors as self-oscillation and prove a theorem about their limit efficiency, of which Carnot's theorem for heat engines appears as a special case. We briefly discuss how self-oscillation applies to servomechanisms, Cepheid variable stars, lasers, and the macroeconomic business cycle, among other applications. Our emphasis throughout is on the energetics of self-oscillation, often neglected by the literature on nonlinear dynamical systems. -
Quark Masses: an Environmental Impact Statement
Quark masses: An environmental impact statement Alejandro Jenkins Center for Theoretical Physics LNS, MIT Excited QCD 09 Zakopane, Poland Tuesday, 10 February, 2009 A. Jenkins (MIT) Environmental Quark Masses Excited QCD ’09 1 / 30 Work discussed R. L. Jaffe, AJ, and I. Kimchi, arXiv:0809.1647 [hep-ph], to appear in PRD (2009). Also (briefly) A. Adams, AJ, and D. O’Connell, arXiv:0802.4081 [hep-ph] A. Jenkins (MIT) Environmental Quark Masses Excited QCD ’09 2 / 30 Quark masses in the Standard Model In the SM, quark masses pv ¯ Lmass = guuu¯ + gd dd 2 p 2 depend on gu;d and on v = =, for Higgs potential 2 V (Φ) = 2ΦyΦ + ΦyΦ 2 Note ; ; gu;d are all free parameters of the theory A. Jenkins (MIT) Environmental Quark Masses Excited QCD ’09 3 / 30 Quark masses in the Standard Model In the SM, quark masses pv ¯ Lmass = guuu¯ + gd dd 2 p 2 depend on gu;d and on v = =, for Higgs potential 2 V (Φ) = 2ΦyΦ + ΦyΦ 2 Note ; ; gu;d are all free parameters of the theory A. Jenkins (MIT) Environmental Quark Masses Excited QCD ’09 3 / 30 TOE’s & landscapes Ideally, TOE would reproduce the SM at low energies and uniquely predict its parameters . but some parameters might be environmentally selected cf. Carter ’74; Barrow & Tipler ’86 Bayes’s theorem: p(fi gjobserver) / p(observerjfi g) ¢ p(fi g) String theory requires compactification of extra dimensions It now seems this can be done consistently in many ways, leading to different low-energy parameters cf. review by Douglas & Kachru ’06 Landscape of string vacua might, through eternal inflation, produce a multiverse A.