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We systematically extend the framework of galaxy bias renormalization to two-loop order. For the minimal complete basis of 29 deterministic bias operators up to fifth order in the density field and at leading order in gradient expansion we…

宇宙学与河外天体物理 · 物理学 2025-07-21 Thomas Bakx , Mathias Garny , Henrique Rubira , Zvonimir Vlah

A model of the passive vector field advected by the uncorrelated in time Gaussian velocity with power-like covariance is studied by means of the renormalization group and the operator product expansion. The structure functions of the…

混沌动力学 · 物理学 2009-11-11 S. V. Novikov

Calculating the distribution of jet masses in high-energy collisions is challenging because fixed-order perturbation theory breaks down near the peak region, and because multiple scales complicate the resummation. To avoid using a jet veto,…

高能物理 - 唯象学 · 物理学 2015-03-18 Randall Kelley , Matthew D. Schwartz , Hua Xing Zhu

Renormalization-group equations (RGE) is one of the key tools in studying high-energy behavior of the Standard Model (SM). We begin by reviewing one-loop RGE for the dimensionless couplings of the SM and proceed to the state-of-the-art…

高能物理 - 唯象学 · 物理学 2026-02-02 A. V. Bednyakov , A. S. Fedoruk , D. I. Kazakov

Differential spectra in observables that resolve additional soft or collinear QCD emissions exhibit Sudakov double logarithms in the form of logarithmic plus distributions. Important examples are the total transverse momentum $q_T$ in…

高能物理 - 唯象学 · 物理学 2017-02-24 Markus A. Ebert , Frank J. Tackmann

Previously derived Lane consistent dispersive coupled-channel optical model for nucleon scattering on $^{232}$Th and $^{238}$U nuclei is extended to describe scattering on even-even actinides with $Z=$90--98. A soft-rotator-model (SRM)…

核理论 · 物理学 2017-10-11 D. S. Martyanov , E. Sh. Soukhovitskii , R. Capote , J. M. Quesada , S. Chiba

In this article, a novel analytical approach is presented for the analysis of electromagnetic (EM) scattering from radially inhomogeneous spherical structures (RISSs) based on the duality principle. According to the spherical symmetry,…

经典物理 · 物理学 2018-04-04 Mohammad Kiani , Ali Abdolali , Mahdi Safari

We show that in theories in which supersymmetry breaking is communicated by renormalizable perturbative interactions, it is possible to extract the soft terms for the observable fields from wave-function renormalization. Therefore all the…

高能物理 - 唯象学 · 物理学 2008-11-26 G. F. Giudice , R. Rattazzi

The singular limits of massless gauge theory amplitudes are described by an effective theory, called soft-collinear effective theory (SCET), which has been applied most successfully to make all-orders predictions for observables in collider…

高能物理 - 理论 · 物理学 2015-05-29 Andrew J. Larkoski , Duff Neill , Iain W. Stewart

The soft bootstrap is an on-shell method to constrain the landscape of effective field theories (EFTs) of massless particles via the consistency of the low-energy S-matrix. Given assumptions on the on-shell data (particle spectra, linear…

高能物理 - 理论 · 物理学 2019-02-20 Henriette Elvang , Marios Hadjiantonis , Callum R. T. Jones , Shruti Paranjape

We present general four-loop template $\beta$-functions and anomalous field dimensions for renormalisable scalar-fermion theories in three dimensions. By imposing $\mathcal{N}=1$ and $\mathcal{N}=2$ supersymmetry, we obtain relations…

高能物理 - 理论 · 物理学 2025-12-03 York Schröder , Emmanuel Stamou , Tom Steudtner , Max Uetrecht

The resonant state expansion (RSE), a rigorous perturbative method in electrodynamics, is applied to two-dimensional open optical systems. The analytically solvable homogeneous dielectric cylinder is used as unperturbed system, and its…

光学 · 物理学 2015-05-05 M. B. Doost , W. Langbein , E. A. Muljarov

Using soft-collinear effective theory (SCET), which provides a unified framework for factorization, resummation of logarithms, and incorporation of universal nonperturbative functions in hard-scattering QCD cross-sections, we present a new…

高能物理 - 唯象学 · 物理学 2009-10-16 Andrew Hornig , Christopher Lee , Grigory Ovanesyan

The renormalization group and operator product expansion are applied to the model of a passive scalar quantity advected by the Gaussian self-similar velocity field with finite, and not small, correlation time. The inertial-range energy…

混沌动力学 · 物理学 2009-11-07 L. Ts. Adzhemyan , N. V. Antonov , J. Honkonen

We perform a comprehensive analysis of the symmetry-resolved (SR) entanglement entropy (EE) for one single interval in the ground state of a $1+1$D conformal field theory (CFT), that is invariant under an arbitrary finite or compact Lie…

高能物理 - 理论 · 物理学 2023-12-07 Yuya Kusuki , Sara Murciano , Hirosi Ooguri , Sridip Pal

The three dimensional nonlinear sigma model is unrenormalizable in perturbative method. By using the $\beta$ function in the nonperturbative Wilsonian renormalization group method, we argue that ${\cal N}=2$ supersymmetric nonlinear…

高能物理 - 理论 · 物理学 2009-11-10 K. Higashijima , E. Itou

The infrared divergences of massless n-parton scattering amplitudes can be derived from the anomalous dimension of n-jet operators in soft-collinear effective theory. Up to three-loop order, the latter has been shown to have a very simple…

高能物理 - 唯象学 · 物理学 2015-06-11 Valentin Ahrens , Matthias Neubert , Leonardo Vernazza

Multi-scale renormalization group (RG) methods are reviewed and applied to the analysis of the effective potential for radiative symmetry breaking with multiple scalar fields, allowing an extension of the Gildener & Weinberg (GW) method…

高能物理 - 唯象学 · 物理学 2014-11-19 T. G. Steele , Zhi-Wei Wang , D. G. C. McKeon

In high-energy processes which are sensitive to small transverse momenta, individual contributions from collinear and soft momentum regions are not separately well-defined in dimensional regularization. A simple possibility to solve this…

高能物理 - 唯象学 · 物理学 2015-06-03 Thomas Becher , Guido Bell

We introduce an infinite set of jet substructure observables, derived as projections of $N$-point energy correlators, that are both convenient for experimental studies and maintain remarkable analytic properties derived from their…

高能物理 - 唯象学 · 物理学 2020-11-10 Hao Chen , Ian Moult , XiaoYuan Zhang , Hua Xing Zhu