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Renormalization Group (RG) techniques have been successfully employed in quantum field theory and statistical physics. Here we apply RG methods to study the non-linear stages of structure formation in the Universe. Exact equations for the…

天体物理学 · 物理学 2010-10-27 Sabino Matarrese , Massimo Pietroni

The details of the recent calculation of the two-loop bosonic corrections to the muon lifetime in the Standard Model are presented. The matching on the Fermi theory is discussed. Renormalisation in the on-shell and in the MS scheme is…

高能物理 - 唯象学 · 物理学 2009-11-07 M. Awramik , M. Czakon , A. Onishchenko , O. Veretin

We discuss renormalization group equations (RGE) for the parameters of the Higgs sector in general Two-Higgs-Doublet Model (2HDM). We present the three-loop results but consider only contributions due to self-couplings of the Higgs…

高能物理 - 唯象学 · 物理学 2018-11-27 A. V. Bednyakov

The one-loop renormalization of the action for a set Dirac fermions and a set of scalars spanning an arbitrary manifold coupled via Yukawa-like and gauge interactions is presented. The computation is performed with functional methods and in…

高能物理 - 唯象学 · 物理学 2018-02-21 R. Alonso , K. Kanshin , S. Saa

We describe the on-shell method to deriving the Renormalization Group (RG) evolution of Wilson coefficients of high dimensional operators at one loop, which is a necessary part in the on-shell construction of the Standard Model Effective…

高能物理 - 唯象学 · 物理学 2021-02-03 Minyuan Jiang , Teng Ma , Jing Shu

These lectures aim to provide a pedagogical introduction to the philosophical underpinnings and technical features of Effective Field Theory (EFT). Improving control of $S$-matrix elements in the presence of a large hierarchy of physical…

高能物理 - 唯象学 · 物理学 2020-08-31 Timothy Cohen

The ongoing Effective Field Theory (EFT) program at the LHC and elsewhere is motivated by streamlining the connection between experimental data and UV-complete scenarios of heavy new physics beyond the Standard Model (BSM). This connection…

高能物理 - 唯象学 · 物理学 2024-05-24 Jaco ter Hoeve , Giacomo Magni , Juan Rojo , Alejo N. Rossia , Eleni Vryonidou

In this work, we study the renormalization-group evolution of parameters in the three-dimensional effective field theory (3D EFT) that describes the thermally driven electroweak phase transition of the Higgs field. We consider tree-level…

高能物理 - 唯象学 · 物理学 2026-03-18 Mikael Chala , Andrii Dashko , Guilherme Guedes

We obtain the two-loop effective potential for general renormalizable theories, using a generalized gauge-fixing scheme that includes as special cases the background-field $R_\xi$ gauges, the Fermi gauges, and the familiar Landau gauge, and…

高能物理 - 唯象学 · 物理学 2018-10-24 Stephen P. Martin , Hiren H. Patel

Two-loop renormalization group equations in gauge theories with multiple U(1) groups are presented. Instead of normalizing the abelian gauge fields in canonical forms, we retain kinetic-mixing terms and treat the mixing coefficients as free…

高能物理 - 唯象学 · 物理学 2009-11-07 Mingxing Luo , Yong Xiao

Higgs decays to gauge boson pairs are a crucial ingredient in the study of Higgs properties, with the decay $H\rightarrow\gamma\gamma$ being particularly sensitive to new physics effects. Assuming all potential new physics occurs at…

高能物理 - 唯象学 · 物理学 2018-11-26 Sally Dawson , Pier Paolo Giardino

Generalized Effective Field Theory (GEFT) is the non-renormalizable extension of an Effective Field Theory where the Wilson coefficients are endowed by their own, independent scale dependence. Such an effective theory can be constructed by…

高能物理 - 理论 · 物理学 2020-01-08 Nikos Irges , Fotis Koutroulis

We develop a simple non-perturbative approach to the calculation of a field theory effective potential that is based on the Wilson or exact renormalization group. Our approach follows Shepard et al's idea [Phys. Rev. D51, 7017 (1995)] of…

高能物理 - 理论 · 物理学 2022-07-05 Jose Gaite

We present here two alternative schemes designed to correct the high-frequency truncation errors in the numerical treatment of the Bethe-Salpeter equations. The schemes are applicable to all Bethe-Salpeter calculations with a local…

In this article we wish to present a new method to obtain spectral functions at finite temperature and density from the Functional Renormalization Group (FRG). The FRG offers a powerful non-perturbative tool to deal with phase transitions…

高能物理 - 唯象学 · 物理学 2014-09-17 Jochen Wambach , Ralf-Arno Tripolt , Nils Strodthoff , Lorenz von Smekal

We review recent developments in functional renormalization group (RG) methods for interacting fermions. These approaches aim at obtaining an unbiased picture of competing Fermi liquid instabilities in the low-dimensional models like the…

强关联电子 · 物理学 2007-05-23 Carsten Honerkamp

Renormalisation group approaches are tailor made for resolving the scale-dependence of quantum and statistical systems, and hence their phase structure and critical physics. Usually this advantage comes at the price of having to truncate…

高能物理 - 理论 · 物理学 2023-11-28 Friederike Ihssen , Jan M. Pawlowski

In nuclear physics, Density Functional Theory (DFT) provides the basis for state-of-the art studies of ground-state properties of heavy nuclei. However, the direct relation of the density functional underlying these calculations and the…

核理论 · 物理学 2016-12-21 Sandra Kemler , Martin Pospiech , Jens Braun

Conformal field theory (CFT) is an extremely powerful tool for explicitly computing critical exponents and correlation functions of statistical mechanics systems at a second order phase transition, or of condensed matter systems at a…

数学物理 · 物理学 2021-02-23 Alessandro Giuliani

We use the functional Renormalisation Group (fRG) to describe the in and out of equilibrium dynamics of stochastic processes, governed by an overdamped Langevin equation. Exploiting the connection between Langevin dynamics and…

统计力学 · 物理学 2021-02-05 Ashley Wilkins , Gerasimos Rigopoulos , Enrico Masoero
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