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We present the results of an extensive non-perturbative calculation of the renormalization constants of bilinear quark operators for the non-perturbatively O(a)-improved Wilson action. The results are obtained at four values of the lattice…

High Energy Physics - Lattice · Physics 2015-06-25 D. Becirevic , V. Gimenez , V. Lubicz , G. Martinelli , M. Papinutto , J. Reyes , C. Tarantino [SPQcdR Collaboration]

We carefully analyze the renormalization group equations in the type I + II seesaw scenario in the extended standard model (SM) and minimal supersymmetric standard model (MSSM). Furthermore, we present analytic formulae of the mixing angles…

High Energy Physics - Phenomenology · Physics 2022-05-31 Michael Andreas Schmidt

We present exact results, at next-to-leading order in renormalization-group improved perturbation theory, for the Wilson coefficients appearing at order 1/m_Q in the heavy-quark expansion of heavy-light current operators. To this end, we…

High Energy Physics - Phenomenology · Physics 2009-10-31 Thomas Becher , Matthias Neubert , Alexey A. Petrov

We determine from first principles the quark mass anomalous dimension in Nf=3 QCD between the electroweak and hadronic scales. This allows for a fully non-perturbative connection of the perturbative and non-perturbative regimes of the…

High Energy Physics - Lattice · Physics 2018-06-07 Isabel Campos , Patrick Fritzsch , Carlos Pena , David Preti , Alberto Ramos , Anastassios Vladikas

We derive the 1-loop Renormalization Group Equations for the parameters of the Minimal Supersymmetric Standard Model (MSSM) taking into account the successive decoupling of each sparticle below its threshold. This is realized by a step…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. B. Lahanas , K. Tamvakis

A renormalization-group scheme is developed for the 3-dimensional O($2N$)-symmetric Ginzburg-Landau-Wilson model, which is consistent with the use of a 1/N expansion as a systematic method of approximation. It is motivated by an application…

Statistical Mechanics · Physics 2009-11-07 Ian D. Lawrie , Dominic J. Lee

We propose a new concept upon the renormalization group (RG) procedure for an interacting many-electron correlated system in the framework of natural orbitals, and formulate an algorithm for this RG approach. To demonstrate its…

Strongly Correlated Electrons · Physics 2014-02-17 Rong-Qiang He , Zhong-Yi Lu

The analytization procedure which allows one to remove nonphysical singularities of the QCD running coupling constant $\bar\alpha_s(q^2)$ in the infrared region is applied to standard as well as to iterative solutions of the two-loop…

High Energy Physics - Phenomenology · Physics 2007-05-23 Aleksey I. Alekseev

We extend to quenched disordered systems the variational scheme for real space renormalization group calculations that we recently introduced for homogeneous spin Hamiltonians. When disorder is present our approach gives access to the flow…

Statistical Mechanics · Physics 2020-11-11 Yantao Wu , Roberto Car

We study two--loop renormalization in $(2+\epsilon)$--dimensional quantum gravity. As a first step towards the full calculation, we concentrate on the divergences which are proportional to the number of matter fields. We calculate the…

High Energy Physics - Theory · Physics 2016-09-06 Toshiaki Aida , Yoshihisa Kitazawa , Jun Nishimura , Asato Tsuchiya

The renormalization factor relating the bare to the renormalization group invariant quark masses is accurately calculated in quenched lattice QCD using a recursive finite-size technique. The result is presented in the form of a product of a…

High Energy Physics - Lattice · Physics 2009-10-31 Stefano Capitani , Martin Lüscher , Rainer Sommer , Hartmut Wittig

Quantum Chromodynamics in two spacetime dimensions is investigated with the Functional Renormalization Group. We use a functional formulation with covariant gauge fixing and derive Renormalization Group flow equations for the gauge…

High Energy Physics - Phenomenology · Physics 2025-05-06 Eric Oevermann , Adrian Koenigstein , Stefan Floerchinger

A relation between geometric phases and criticality of spin chains are studied by using the quantum renormalization-group approach. We have shown how the geometric phase evolve as the size of the system becomes large, i.e., the finite size…

Strongly Correlated Electrons · Physics 2015-06-05 R. Jafari

Renormalization group methods are used to study the low-energy behavior of the unscreened Coulomb interaction in a one-dimensional electron system. By applying a GW approximation, a strong wavefunction renormalization is found in the model,…

Strongly Correlated Electrons · Physics 2007-05-23 S. Bellucci , J. Gonzalez

We extend a recently proposed real-space renormalization group scheme for dynamical triangulations to situations where the lattice is coupled to continuous scalar fields. Using Monte Carlo simulations in combination with a linear,…

High Energy Physics - Lattice · Physics 2009-10-31 Eric B. Gregory , Simon M. Catterall , Gudmar Thorleifsson

Techniques based on $n$-particle irreducible effective actions can be used to study systems where perturbation theory does not apply. The main advantage, relative to other non-perturbative continuum methods, is that the hierarchy of…

High Energy Physics - Theory · Physics 2019-04-10 M. E. Carrington , S. A. Friesen , C. D. Phillips , D. Pickering

Building on the recent derivation of a bare factorization theorem for the $b$-quark induced contribution to the $h\to\gamma\gamma$ decay amplitude based on soft-collinear effective theory, we derive the first renormalized factorization…

High Energy Physics - Phenomenology · Physics 2021-02-03 Ze Long Liu , Bianka Mecaj , Matthias Neubert , Xing Wang

We review the renormalization group method applied to non-equilibrium dynamics by tracing the way how the hydrodynamic equations can be derived as reduced dynamics of the Boltzmann equation as a typical example.

High Energy Physics - Phenomenology · Physics 2007-05-23 Teiji Kunihiro

We calculate next-to-leading QCD corrections to the decay $H^+ \to u\bar d$ for generic up and down quarks in the final state. A recently developed algorithm for evaluation of massive two-loop Feynman diagrams is employed to calculate…

High Energy Physics - Phenomenology · Physics 2016-09-01 Andrzej Czarnecki , Andrei I. Davydychev

Mandelstam-Leibbrandt(ML) regularization of Very Special Relativity (VSR) amplitudes in momentum space depends on two fixed null vectors $n_\mu,\bar{n}_\mu$ besides external momenta. ML is known to preserve gauge invariance and naive power…

High Energy Physics - Phenomenology · Physics 2023-06-21 Jorge Alfaro
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