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The so-called two-vertex model of loop quantum gravity has been analytically studied in the past within a U($N$) symmetry-reduced sector leading to a cosmological interpretation. In this work we study the simplest non-trivial two-vertex…

General Relativity and Quantum Cosmology · Physics 2025-01-27 Iñaki Garay , Luis J. Garay , Diego H. Gugliotta

We evaluate the one and two loop contributions to the expectation values of two coincident and gauge invariant scalar bilinears in the theory of massless, minimally coupled scalar quantum electrodynamics on a locally de Sitter background.…

General Relativity and Quantum Cosmology · Physics 2009-11-11 T. Prokopec , N. C. Tsamis , R. P. Woodard

We compute the two-loop effects induced by an anomalous Higgs trilinear self-coupling in the partial decay width h to gamma Z. The computation is performed using the anomalous coupling approach working in the unitary gauge and in a theory…

High Energy Physics - Phenomenology · Physics 2020-04-22 G. Degrassi , M. Vitti

The influence of a layered aperiodic modulation of the couplings on the critical behaviour of the two-dimensional Ising model is studied in the case of marginal perturbations. The aperiodicity is found to induce anisotropic scaling. The…

Statistical Mechanics · Physics 2009-10-28 B. Berche , P. E. Berche , M. Henkel , F. Igloi , P. Lajko , S. Morgan , L. Turban

In the paper, we present a monotonicity result of a function involving the gamma function and the logarithmic function, refine a double inequality for the gamma function, and improve some known results for bounding the gamma function.

Classical Analysis and ODEs · Mathematics 2012-05-21 Feng Qi , Bai-Ni Guo

This paper proposes parametric and non-parametric hypothesis testing algorithms for detecting anisotropy -- rotational variance of the covariance function in random fields. Both algorithms are based on resampling mechanisms, which enable…

Methodology · Statistics 2021-06-08 Assaf Rabinowicz , Saharon Rosset

We study quantum loop corrections to two-point functions and extraction of physical quantities in a five-dimensional $\phi^4$ theory on an orbifold. At two-loop level, we find that divergence for quartic derivative terms of $(p^2)^2$ appear…

High Energy Physics - Phenomenology · Physics 2009-12-04 Nobuhiro Uekusa

This paper concerns the reconstruction of an anisotropic conductivity tensor in an elliptic second-order equation from knowledge of the so-called power density functionals. This problem finds applications in several coupled-physics medical…

Analysis of PDEs · Mathematics 2013-02-15 Guillaume Bal , Chenxi Guo , Francois Monard

The classical regular and partial autocorrelation functions are powerful tools for stationary time series modelling and analysis. However, it is increasingly recognized that many time series are not stationary and the use of classical…

Statistics Theory · Mathematics 2021-10-27 Rebecca Killick , Marina I. Knight , Guy P. Nason , Idris A. Eckley

We outline the recent results on the two-loop electroweak contributions to the electron-electron scattering cross sections and asymmetries. Although the two-loop corrections are strongly suppressed relative to the one-loop corrections, they…

High Energy Physics - Phenomenology · Physics 2014-11-18 A. Aleksejevs , S. Barkanova , V. Zykunov

Canonical quantization of a gauge theory in the spatial axial gauge produces an anisotropic Hamiltonian and matter particles surrounded by physically unrealistic asymmetric electric or chromoelectric fields. We show how to restore…

High Energy Physics - Theory · Physics 2008-06-19 Marek Krasnansky

We compute the O(alpha_t^2) two-loop corrections to the neutral CP-even Higgs boson mass matrix in the Minimal Supersymmetric Standard Model, for arbitrary values of mA and of the parameters in the stop sector, in the effective potential…

High Energy Physics - Phenomenology · Physics 2015-06-25 Andrea Brignole , Giuseppe Degrassi , Pietro Slavich , Fabio Zwirner

We use the Wilson flow to define the gauge anisotropy at a given physical scale. We demonstrate the use of the anisotropic flow by performing the tuning of the bare gauge anisotropy in the tree-level Symanzik action for several lattice…

High Energy Physics - Lattice · Physics 2012-05-04 S. Borsanyi , S. Durr , Z. Fodor , S. D. Katz , S. Krieg , T. Kurth , S. Mages , A. Schafer , K. K. Szabo

We present the first part of a systematic calculation of the two-loop anomalous dimensions in the low-energy effective field theory (LEFT): the effects at dimension five in the power counting. Our calculation is performed in a basis with…

High Energy Physics - Phenomenology · Physics 2025-06-18 Luca Naterop , Peter Stoffer

We compute the two-loop BSM contributions to the $h\longrightarrow \gamma\gamma$ decay width in the SM extended with a real triplet of $SU(2)$. We consider scenarios in which the neutral components of doublet and triplet do not mix, so that…

High Energy Physics - Phenomenology · Physics 2025-01-22 Giuseppe Degrassi , Pietro Slavich

The analysis of correlation function data obtained by Monte Carlo simulations of the two-dimensional 4-state Potts model, XY model, and self-dual disordered Ising model at criticality are presented. We study the logarithmic corrections to…

Statistical Mechanics · Physics 2009-11-10 Bertrand Berche , Lev Shchur

In the present work, we theoretically investigate light deflection in the weak and strong field regimes for two regular spacetimes with corrections from loop quantum gravity. We treat analytically the expansions for both limits and use them…

General Relativity and Quantum Cosmology · Physics 2025-06-19 A. R. Soares , C. F. S. Pereira , R. L. L. Vitória , Marcos V. de S. Silva , H. Belich

We describe on-shell methods for computing one- and two-loop anomalous dimensions in the context of effective field theories containing higher-dimension operators. We also summarize methods for computing one-loop amplitudes, which are used…

High Energy Physics - Phenomenology · Physics 2020-12-02 Zvi Bern , Julio Parra-Martinez , Eric Sawyer

We study moduli dependent threshold corrections to gravitational couplings in the case of the heterotic string compactified on a symmetric orbifold, for untwisted moduli, extending previous analysis on gauge couplings. Like in the gauge…

High Energy Physics - Theory · Physics 2010-11-01 I. Antoniadis , E. Gava , K. S. Narain

Influence of uniaxial small-scale anisotropy and compressibility on the stability of scaling regime and on the anomalous scaling of structure functions of a scalar field is investigated in the model of a passive scalar field advected by the…

Chaotic Dynamics · Physics 2007-05-23 E. Jurcisinova , M. Jurcisin , R. Remecky , M. Scholtz