scholarly journals Hilbert series for leptonic flavor invariants in the minimal seesaw model

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Bingrong Yu ◽  
Shun Zhou
Keyword(s):  
Hilbert Series ◽  
Rational Functions ◽  
High Energy ◽  
Energy Scale ◽  
Effective Theory ◽  
Practical Applications ◽  
Phenomenological Studies ◽  
Sufficient And Necessary Conditions ◽  
High Energy Scale ◽  
First Time

Abstract In this paper, we examine the leptonic flavor invariants in the minimal see-saw model (MSM), in which only two right-handed neutrino singlets are added into the Standard Model in order to accommodate tiny neutrino masses and explain cosmological matter-antimatter asymmetry via leptogenesis mechanism. For the first time, we calculate the Hilbert series (HS) for the leptonic flavor invariants in the MSM. With the HS we demonstrate that there are totally 38 basic flavor invariants, among which 18 invariants are CP-odd and the others are CP-even. Moreover, we explicitly construct these basic invariants, and any other flavor invariants in the MSM can be decomposed into the polynomials of them. Interestingly, we find that any flavor invariants in the effective theory at the low-energy scale can be expressed as rational functions of those in the full MSM at the high-energy scale. Practical applications to the phenomenological studies of the MSM, such as the sufficient and necessary conditions for CP conservation and CP asymmetries in leptogenesis, are also briefly discussed.

scholarly journals RENORMALIZATION GROUP EVOLUTION OF NEUTRINO MASSES AND MIXING IN SEESAW MODELS

2010 ◽  
Vol 25 (23) ◽  
pp. 4339-4384 ◽  
Author(s):  
SHAMAYITA RAY
Keyword(s):  
Renormalization Group ◽  
High Energy ◽  
Energy Scale ◽  
Low Energy ◽  
Effective Theory ◽  
Neutrino Masses ◽  
Mixing Parameters ◽  
Group Evolution ◽  
High Energy Scale ◽  
The Masses

We consider different extensions of the Standard Model which can give rise to the small active neutrino masses through seesaw mechanisms, and their mixing. These tiny neutrino masses are generated at some high energy scale by the heavy seesaw fields which then get sequentially decoupled to give an effective dimension-5 operator at the low energy. The renormalization group evolution of the masses and the mixing parameters of the three active neutrinos in the high energy as well as the low energy effective theory is reviewed in this paper.

scholarly journals Perturbative unitarity in quasi-single field inflation

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Suro Kim ◽  
Toshifumi Noumi ◽  
Keito Takeuchi ◽  
Siyi Zhou
Keyword(s):  
Quantum Gravity ◽  
Parameter Space ◽  
High Energy ◽  
New Physics ◽  
Energy Scale ◽  
Effective Theory ◽  
Massive Scalar ◽  
High Energy Scale ◽  
Single Field ◽  
High Energy Scattering

Abstract We study implications of perturbative unitarity for quasi-single field inflation with the inflaton and one massive scalar. Analyzing high energy scattering, we show that non-Gaussianities with |fNL| ≳ 1 cannot be realized without turning on interactions which violate unitarity at a high energy scale. Then, we provide a relation between fNL and the scale of new physics that is required for UV completion. In particular we find that for the Hubble scale H ≳ × 109 GeV, Planck suppressed operators can easily generate too large non-Gaussanities and so it is hard to realize successful quasi-single field inflation without introducing a mechanism to suppress quantum gravity corrections. Also we generalize the analysis to the regime where the isocurvature mode is heavy and the inflationary dynamics is captured by the inflaton effective theory. Requiring perturbative unitarity of the two-scalar UV models with the inflaton and one heavy scalar, we clarify the parameter space of the P(X, ϕ) model which is UV completable by a single heavy scalar.

scholarly journals Beginning of Universe through large field hybrid inflation

2015 ◽  
Vol 30 (21) ◽  
pp. 1550106 ◽  
Author(s):  
Tatsuo Kobayashi ◽  
Osamu Seto
Keyword(s):  
Gravitational Wave ◽  
Early Universe ◽  
High Energy ◽  
Wave Mode ◽  
Energy Scale ◽  
Large Field ◽  
Tensor Perturbation ◽  
Expectation Value ◽  
Hybrid Inflation ◽  
High Energy Scale

Recent detection of B-mode polarization induced from tensor perturbations by the BICEP2 experiment implies the so-called large field inflation, where an inflaton field takes super-Planckian expectation value during inflation, at a high energy scale. We show however, if another inflation follows hybrid inflation, the hybrid inflation can generate a large tensor perturbation with not super-Planckian but Planckian field value. This scenario would relax the tension between BICEP2 and Planck concerning the tensor-to-scalar ratio, because a negative large running can also be obtained for a certain number of e-fold of the hybrid inflation. A natural interpretation of a large gravitational wave mode with or without the scalar spectral running might be multiple inflation in the early Universe.

scholarly journals The origin of a high-energy scale in the Pomeron calculus

1975 ◽  
Vol 56 (5) ◽  
pp. 465-469 ◽  
Author(s):  
D. Amati ◽  
R. Jengo
Keyword(s):  
High Energy ◽  
Energy Scale ◽  
High Energy Scale

scholarly journals Exact integration of the high energy scale in doped Mott insulators

2008 ◽  
Vol 77 (1) ◽  
Author(s):  
Ting-Pong Choy ◽  
Robert G. Leigh ◽  
Philip Phillips ◽  
Philip D. Powell
Keyword(s):  
High Energy ◽  
Energy Scale ◽  
Mott Insulators ◽  
Exact Integration ◽  
High Energy Scale

scholarly journals SPONTANEOUS PHYSICAL COMPACTIFICATION OF THE EXTRA DIMENSIONS

2001 ◽  
Vol 16 (36) ◽  
pp. 2327-2333
Author(s):  
TIANJUN LI
Keyword(s):  
Symmetry Breaking ◽  
Extra Dimensions ◽  
High Energy ◽  
Energy Scale ◽  
Low Energy ◽  
Temperature Dependent ◽  
Supergravity Theory ◽  
Brane Model ◽  
High Energy Scale ◽  
Bulk Cosmological Constant

We conjecture that the extra dimensions are physical noncompact at high energy scale or high temperature; after the symmetry breaking or cosmological phase transition, the bulk cosmological constant may become negative, and then, the extra dimensions may become physical compact at low energy scale. We show this in a five-dimensional toy brane model with three parallel three-branes and a real bulk scalar whose potential is temperature-dependent. We also point out that after the global or gauge symmetry breaking, or the supersymmetry breaking in supergravity theory, the spontaneous physical compactification of the extra dimensions might be realized.

scholarly journals F(R)Gravity’s Rainbow and Its Einstein Counterpart

2016 ◽  
Vol 2016 ◽  
pp. 1-21 ◽  
Author(s):  
S. H. Hendi ◽  
B. Eslam Panah ◽  
S. Panahiyan ◽  
M. Momennia
Keyword(s):  
High Energy ◽  
Momentum Tensor ◽  
Energy Scale ◽  
Geometrical Properties ◽  
Conformally Invariant ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow ◽  
High Energy Scale ◽  
Energy Dependent ◽  
Thermodynamical Behavior

Motivated by UV completion of general relativity with a modification of a geometry at high energy scale, it is expected to have an energy dependent geometry. In this paper, we introduce charged black hole solutions with power Maxwell invariant source in the context of gravity’s rainbow. In addition, we investigate two classes ofF(R)gravity’s rainbow solutions. At first, we study energy dependentF(R)gravity without energy-momentum tensor, and then we obtainF(R)gravity’s rainbow in the presence of conformally invariant Maxwell source. We study geometrical properties of the mentioned solutions and compare their results. We also give some related comments regarding thermodynamical behavior of the obtained solutions and discuss thermal stability of the solutions.

A new high‐energy scale?

Physics Today ◽  
1972 ◽  
Vol 25 (4) ◽  
pp. 23-28 ◽  
Author(s):  
T. D. Lee
Keyword(s):  
High Energy ◽  
Energy Scale ◽  
High Energy Scale

scholarly journals Cosmological Probes of Supersymmetric Field Theory Models at Superhigh Energy Scales

Symmetry ◽  
2019 ◽  
Vol 11 (4) ◽  
pp. 511 ◽  
Author(s):  
Sergei Ketov ◽  
Maxim Khlopov
Keyword(s):  
Hadron Collider ◽  
High Energy ◽  
Energy Scale ◽  
Weakly Interacting Massive Particles ◽  
Special Role ◽  
Indirect Methods ◽  
High Energy Scale ◽  
Susy Models ◽  
Superheavy Dark Matter ◽  
Positive Results

The lack of positive results in searches for supersymmetric (SUSY) particles at the Large Hadron Collider (LHC) and in direct searches for Weakly Interacting Massive Particles (WIMPs) in the underground experiments may hint to a super-high energy scale of SUSY phenomena beyond the reach of direct experimental probes. At such scales the supergravity models based on Starobinsky inflation can provide the mechanisms for both inflation and superheavy dark matter. However, it makes the indirect methods the only way of testing the SUSY models, so that cosmological probes acquire the special role in this context. Such probes can rely on the nontrivial effects of SUSY physics in the early Universe, which are all model-dependent and thus can provide discrimination of the models and their parameters. The nonstandard cosmological features like Primordial Black Holes (PBHs) or antimatter domains in a baryon-asymmetric universe are discussed as possible probes for high energy scale SUSY physics.

Quantum field theory and a new universal high-energy scale

1985 ◽  
Vol 87 (4) ◽  
pp. 373-396 ◽  
Author(s):  
M. V. Chizhov ◽  
A. D. Donkov ◽  
R. M. Ibadov ◽  
V. G. Kadyshevsky ◽  
M. D. Mateev
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
High Energy ◽  
Energy Scale ◽  
Quantum Field ◽  
High Energy Scale
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