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We describe some ways how higher order corrections can reveal themselves if integrated over the infrared region. We show that in different renormalization group (RG) schemes and for some observables one has no factorial divergences. We…

High Energy Physics - Phenomenology · Physics 2015-06-25 N. V. Krasnikov , A. A. Pivovarov

Reconstructing the internal three-dimensional quark and gluon structures of hadrons through generalized parton distributions (GPDs) from hard exclusive scattering processes is one of the most challenging tasks in nuclear and particle…

High Energy Physics - Phenomenology · Physics 2025-05-13 Jian-Wei Qiu , Nobuo Sato , Zhite Yu

We present an efficient implementation of the Density Matrix Renormalization Group (DMRG) algorithm that includes an optimal ordering of the proton and neutron orbitals and an efficient expansion of the active space utilizing various…

Nuclear Theory · Physics 2015-11-18 Ö. Legeza , L. Veis , A. Poves , J. Dukelsky

A so-called Renormalization Group (RG) analysis is performed in order to shed some light on why the density of prime numbers in $\Bbb N^*$ decreases like the single power of the inverse neperian logarithm.

Mathematical Physics · Physics 2007-05-23 A. Peterman

Exclusive photoproduction of a $\gamma\,\pi^\pm$ pair in the kinematics where the pair has a large invariant mass and the final nucleon has a small transverse momentum is described in the collinear factorization framework. The scattering…

High Energy Physics - Phenomenology · Physics 2018-12-26 G. Duplančić , K. Passek-Kumerički , B. Pire , L. Szymanowski , S. Wallon

The Similarity Renormalization Group (SRG) is used to soften interactions for ab initio nuclear structure calculations by decoupling low- and high-energy Hamiltonian matrix elements. The substantial contribution of both initial and…

Nuclear Theory · Physics 2013-05-22 E. D. Jurgenson , P. Maris , R. J. Furnstahl , P. Navratil , W. E. Ormand , J. P. Vary

We study renormalisation group (RG) corrections relevant for leptogenesis in the case of family symmetry models such as the Altarelli-Feruglio A4 model of tri-bimaximal lepton mixing or its extension to tri-maximal mixing. Such corrections…

High Energy Physics - Phenomenology · Physics 2012-07-18 Iain K. Cooper , Stephen F. King , Christoph Luhn

We show that the Collins-Soper-Sterman resummation approach to the derivation of the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi equation is gauge invariant. The special gauge-dependent parton distribution function employed in the…

High Energy Physics - Phenomenology · Physics 2009-09-25 Hsiang-nan Li

In the present work we carry out a systematic study of the renormalization properties of the integral equation that determines the momentum evolution of the effective gluon mass. A detailed, all-order analysis of the complete kernel…

High Energy Physics - Phenomenology · Physics 2014-04-23 A. C. Aguilar , D. Binosi , J. Papavassiliou

A unified scheme using the R-matrix method has been developed for electron-ion recombination subsuming heretofore separate treatments of radiative and dielectronic recombination (RR and DR). The ab initio coupled channel approach unifies…

Astrophysics · Physics 2009-11-10 Sultana N. Nahar , Anil K. Pradhan

General relativity (GR) extensions based on renormalization group (RG) flows may lead to scale-dependent couplings with nontrivial effects at large distance scales. Here we develop further the approach in which RG effects at large distance…

General Relativity and Quantum Cosmology · Physics 2020-06-01 Nicolas R. Bertini , Wiliam S. Hipolito-Ricaldi , Felipe de Melo-Santos , Davi C. Rodrigues

We present numerical renormalization group (NRG) calculations for a single-impurity Anderson model with a linear coupling to a local phonon mode. We calculate dynamical response functions, spectral densities, dynamic charge and spin…

Strongly Correlated Electrons · Physics 2009-11-07 A. Hewson , D. Meyer

I discuss the impact of the the coherent parton radiation on semi-inclusive production of hadrons in deep inelastic scattering at lepton-proton colliders. Such radiation can be consistently described in the $b$-space resummation formalism,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pavel Nadolsky

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…

High Energy Physics - Phenomenology · Physics 2021-02-03 Minyuan Jiang , Teng Ma , Jing Shu

The cross section for ultra-high energy neutrino-nucleon scattering is very sensitive to the parton distributions at very small values of Bjorken x ($x \leq 10^{-4})$. We numerically investigate the effects of modifying the behavior of the…

High Energy Physics - Phenomenology · Physics 2014-11-18 Ernest M. Henley , Jamal Jalilian-Marian

Generalized parton distributions describe the correlations between the longitudinal momentum and the transverse position of quarks and gluons in a nucleon. They can be constrained by measuring photon leptoproduction observables, arising…

High Energy Physics - Phenomenology · Physics 2023-01-23 Olga Bessidskaia Bylund , Maxime Defurne , Pierre A. M. Guichon

In this paper we investigate the extension of high energy resummation at LLx accuracy to jet observables. In particular, we present the high energy resummed expression of the transverse momentum distribution of the outgoing parton in the…

High Energy Physics - Phenomenology · Physics 2018-01-17 Simone Zoia , Claudio Muselli

We shown the general approach for Q2 evolution of parton densities and fragmentation functions at low x based on the diagonalization. The diagonalization leads to the two components in the Q2 evolution, each of which contains a…

High Energy Physics - Phenomenology · Physics 2015-02-26 Anatoly Kotikov

The perturbative renormalization group(RG) equation is applied to resum divergent series of perturbative wave functions of quantum anharmonic oscillator. It is found that the resummed series gives the cumulant of the naive perturbation…

High Energy Physics - Theory · Physics 2009-09-25 Teiji Kunihiro

Functional renormalization group (FRG) methods applied to calculations of isospin-symmetric and asymmetric nuclear matter as well as neutron matter are reviewed. The approach is based on a chiral Lagrangian expressed in terms of nucleon and…

Nuclear Theory · Physics 2017-03-08 Matthias Drews , Wolfram Weise