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We study in detail the Quantum Field Theory of mixing among three generations of Dirac fermions (neutrinos). We construct the Hilbert space for the flavor fields and determine the generators of the mixing transformations. By use of these…

High Energy Physics - Theory · Physics 2009-11-07 Massimo Blasone , Antonio Capolupo , Giuseppe Vitiello

We set up a strategy for studying large families of logarithmic conformal field theories by using the enlarged symmetries and non--semi-simple associative algebras appearing in their lattice regularizations (as discussed in a companion…

High Energy Physics - Theory · Physics 2008-11-26 N. Read , H. Saleur

Every conformal field theory has the symmetry of taking each field to its adjoint. We consider here the quotient (orbifold) conformal field theory obtained by twisting with respect to this symmetry. A general method for computing such…

High Energy Physics - Theory · Physics 2013-11-01 Doron Gepner , Herve Partouche

We study fermionic conformal field theories on surfaces with spin structure in the presence of boundaries, defects, and interfaces. We obtain the relevant crossing relations, taking particular care with parity signs and signs arising from…

High Energy Physics - Theory · Physics 2020-06-24 Ingo Runkel , Gerard M. T. Watts

In this paper, new results on convolution of spectral components in binary fields have been presented for combiatorial sequences. A novel method of convolution of DFT points through Chinese Remainder Theorem (CRT) is presented which has…

Information Theory · Computer Science 2019-11-27 Muhammad Asad Khan , Sajid Saleem , Amir A Khan

We develop a demonstrator foundation model for collider-scale explorations of the Standard Model Effective Field Theory (SMEFT), constructed from contrastive representations of theoretically simulated neutral-current Drell-Yan cross…

High Energy Physics - Phenomenology · Physics 2025-12-19 Supratim Das Bakshi , T. J. Hobbs , Brandon Kriesten

By resorting to recent results on the Quantum Field Theory of mixed particles, we discuss some aspects of three flavor neutrino mixing. Particular emphasis is given to the related algebraic structures and their deformation in the presence…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Blasone , A. Capolupo , G. Vitiello

For a class of $\zz^2$ Markov Random Fields (MRFs) $\mu$, we show that the sequence of successive differences of entropies of induced MRFs on strips of height $n$ converges exponentially fast (in $n$) to the entropy of $\mu$. These strip…

Dynamical Systems · Mathematics 2010-09-17 Brian Marcus , Ronnie Pavlov

We perform a bottom-up search for discrete non-Abelian symmetries capable of quantizing the Cabibbo angle that parameterizes CKM mixing. Given a particular Abelian symmetry structure in the up and down sectors, we construct representations…

High Energy Physics - Phenomenology · Physics 2017-03-16 Ivo de Medeiros Varzielas , Rasmus W. Rasmussen , Jim Talbert

We establish exponential mixing for the geodesic flow $\varphi_t\colon T^1S\to T^1S$ of an incomplete, negatively curved surface $S$ with cusp-like singularities of a prescribed order. As a consequence, we obtain that the Weil-Petersson…

Dynamical Systems · Mathematics 2016-05-31 Keith Burns , Howard Masur , Carlos Matheus , Amie Wilkinson

The Weak Gravity Conjecture (WGC) bounds the mass of a particle by its charge. It is expected that this bound can not be below the ultraviolet cut-off scale of the effective theory. Recently, an extension of the WGC was proposed in the…

High Energy Physics - Theory · Physics 2018-04-04 Dieter Lust , Eran Palti

In [Phys. Rev. Lett. 128, 013001 (2022)] a novel ground state method was proposed. It has been suggested that this $i$-DMFT would be a method within one-particle reduced density matrix functional theory (DMFT), capable of describing…

Quantum Physics · Physics 2022-02-14 Lexin Ding , Julia Liebert , Christian Schilling

The coupling between defects and extended critical degrees of freedom gives rise to the intriguing theory known as defect conformal field theory (CFT). In this work, we introduce a novel family of boundary and interface CFTs by coupling $N$…

Statistical Mechanics · Physics 2024-12-30 Yang Ge , Shao-Kai Jian

We propose a model in which the radiative neutrino (R\nu) masses are induced by fermion quintuplet and scalar septuplet fields from the minimal-dark-matter (MDM) setup. In conjunction with the 2HDM fields, on top of which our model is…

High Energy Physics - Phenomenology · Physics 2015-03-31 Petar Culjak , Kresimir Kumericki , Ivica Picek

We use the RG framework set up in arXiv:2009.10087 to explore the $\phi^3$ theory with a random field interaction. According to the Parisi-Sourlas conjecture this theory admits a fixed point with emergent supersymmetry which is related to…

High Energy Physics - Theory · Physics 2022-09-14 Apratim Kaviraj , Emilio Trevisani

We develop the technology for Polyakov-Mellin (PM) bootstrap in one-dimensional conformal field theories (CFT$_1$). By adding appropriate contact terms, we bootstrap various effective field theories in AdS$_2$ and analytically compute the…

High Energy Physics - Theory · Physics 2020-08-26 Pietro Ferrero , Kausik Ghosh , Aninda Sinha , Ahmadullah Zahed

We present a new class of 2d integrable models obtained as perturbations of minimal CFT with W-symmetry by fundamental weight primaries. These models are generalisations of well known $(1,2)$-perturbed Virasoro minimal models. In the large…

High Energy Physics - Theory · Physics 2009-10-28 Igor Vaysburd

All unitary Rational Conformal Field Theories (RCFT) are conjectured to be related to unitary coset Conformal Field Theories, i.e., gauged Wess-Zumino-Witten (WZW) models with compact gauge groups. In this paper we use subfactor theory and…

Operator Algebras · Mathematics 2009-10-31 Feng Xu

Sharifi has constructed a map from the first homology of the modular curve $X_1(M)$ to the $K$-group $K_2(\mathbf{Z}[\zeta_M, \frac{1}{M}])$, where $\zeta_M$ is a primitive $M$th root of unity. We study how these maps relate when $M$…

Number Theory · Mathematics 2022-08-16 Emmanuel Lecouturier , Jun Wang

We consider effective Lagrangians which, after electroweak- and family-symmetry breaking, yield fermionic mass matrices and/or other flavoured couplings exhibiting residual family symmetries (RFS). Thinking from the bottom up, these RFS…

High Energy Physics - Phenomenology · Physics 2021-11-04 Jordan Bernigaud , Ivo de Medeiros Varzielas , Jim Talbert