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We consider logarithmic contributions to the free energy, instanton effective action and Laplace sum rules in QCD that are a consequence of radiative corrections. Upon summing these contributions by using the renormalization group, all…

High Energy Physics - Phenomenology · Physics 2017-06-16 F. A. Chishtie , D. G. C. McKeon

We investigate the impact of electroweak (EW), scalar and QCD corrections to the full set of decay branching ratios of an additional CP-even Higgs boson ($H$) in the two Higgs doublet model with a softly broken $Z_2$ symmetry. We employ the…

High Energy Physics - Phenomenology · Physics 2022-08-10 Shinya Kanemura , Mariko Kikuchi , Kei Yagyu

The one-loop radiative corrections to the Higgs boson potential in the MSSM, originating from the top quark and squark loops, are summed in the leading log approximation using the renormalization group. The RG improved effective potential…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. V. Gladyshev , D. I. Kazakov

Density matrix renormalization group (DMRG) is one of the most powerful numerical methods available for many-body systems. In this work, we develop a perturbation theory of DMRG (PT-DMRG) to largely increase its accuracy in an extremely…

Strongly Correlated Electrons · Physics 2017-03-01 Emanuele Tirrito , Shi-Ju Ran , Andrew J. Ferris , Ian P. McCulloch , Maciej Lewenstein

Double-pinched Borel-Laplace sum rules are applied to ALEPH $\tau$-decay data. For the leading-twist ($D=0$) Adler function a renormalon-motivated extension is used, and the 5-loop coefficient is taken to be $d_4=275 \pm 63$. Two $D=6$…

High Energy Physics - Phenomenology · Physics 2022-03-01 César Ayala , Gorazd Cvetič , Diego Teca

A method of evaluation of spacelike QCD observables ${\cal D}(Q^2)$ is developed, motivated by the renormalon structure of these quantities. A related auxiliary quantity ${\widetilde {\cal D}}(Q^2)$ is introduced, which is renomalization…

High Energy Physics - Phenomenology · Physics 2019-01-23 Gorazd Cvetic

We employ optimal renormalization group analysis to semi-leptonic $\tau$-decay polarization functions and extract the strange quark mass from their moments measured by the ALEPH and OPAL collaborations. The optimal renormalization group…

High Energy Physics - Phenomenology · Physics 2017-03-03 B. Ananthanarayan , Diganta Das

The quark contribution to the QCD pressure, $P_q$, is evaluated up to next-to-leading order (NLO) within the renormalization group optimized perturbation theory (RGOPT) resummation approach. To evaluate the complete QCD pressure we simply…

High Energy Physics - Phenomenology · Physics 2021-09-01 Jean-Loïc Kneur , Marcus Benghi Pinto , Tulio E. Restrepo

This book provides an introduction to a renormalisation group method in the spirit of that of Wilson. It starts with a concise overview of the theory of critical phenomena and the introduction of several tools required in the…

Mathematical Physics · Physics 2019-11-12 Roland Bauerschmidt , David C. Brydges , Gordon Slade

A large set of techniques needed to compute decay rates at the two-loop level are derived and systematized. The main emphasis of the paper is on the two Standard Model decays H -> gamma gamma and H -> g g. The techniques, however, have a…

High Energy Physics - Phenomenology · Physics 2010-04-21 S. Actis , G. Passarino , C. Sturm , S. Uccirati

We study the next-to-next-to-leading logarithmic order resummation for the large $p_T$ Higgs boson production at the LHC in the framework of soft-collinear effective theory. We find that the resummation effects reduce the scale uncertainty…

High Energy Physics - Phenomenology · Physics 2014-11-26 Fa Peng Huang , Chong Sheng Li , Hai Tao Li , Jian Wang

We present a hybrid lattice Hamiltonian truncation method that integrates the numerical renormalization group (NRG) with a truncated lattice integrable spectrum. The technique is tailored for generic deformations of integrable lattice…

Strongly Correlated Electrons · Physics 2025-11-18 Xiaodong He , Xiao Wang , Jianda Wu

Dimensional reduction of finite temperature quantum field theories can be improved with help of continous renormalisation group steps. The method is applied to the integration of the lowest non-static ($n=\pm 1$) modes of the finite…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Patkós , P. Petreczky , J. Polonyi

Low- and intermediate mass Higgs bosons decay preferably into fermion pairs. The one-loop electroweak corrections to the respective decay rates are dominated by a flavour-independent term of ${\cal O}(G_Fm_t^2)$. We calculate the two-loop…

High Energy Physics - Phenomenology · Physics 2009-10-28 Bernd A. Kniehl

We investigate the \(J/\psi\) direct production mechanism in the rare exclusive Higgs decay \(H\to J/\psi+\gamma\) within nonrelativistic QCD (NRQCD), which provides a clean probe for extracting the charm-quark Yukawa coupling to the Higgs…

High Energy Physics - Phenomenology · Physics 2026-03-06 Qi-Sha Ran , Xing-Gang Wu , Jiang Yan , Xu-Chang Zheng , Chang-Xin Liu

Recently, the ATLAS and CMS Collaborations measured the 125 GeV Higgs boson decay to a pair of muons $h\rightarrow \mu \bar{\mu}$, which reported the signal strength relative to the standard model (SM) prediction is $1.2\pm0.6$ and…

High Energy Physics - Phenomenology · Physics 2020-11-10 Hai-Bin Zhang , Zhi-Min Niu , Ke-Sheng Sun , Shu-Min Zhao , Ying-Long Wang , Tai-Fu Feng

The application of Wilson's Numerical Renormalization Group (NRG) method to dissipative quantum impurity models, in particular the sub-ohmic spin-boson model, has led to conclusions regarding the quantum critical behavior which are in…

Statistical Mechanics · Physics 2012-03-16 Matthias Vojta

The experimental determination of the partial width $\Gamma (H \longrightarrow \gamma \gamma)$ of an intermediate mass Higgs is among the most important measurements at a future photon photon collider. Recently it was shown that large…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Melles , W. James Stirling

On the basis of the classical theory of envelopes, we formulate the renormalization group (RG) method for global analysis, recently proposed by Goldenfeld et al. It is clarified why the RG equation improves things.

High Energy Physics - Theory · Physics 2009-10-28 Teiji Kunihiro

The infrared behaviour of a non-mean field spin-glass system is analysed, and the critical exponent related to the divergence of the correlation length is computed at two loops within the epsilon-expansion technique with two independent…

Disordered Systems and Neural Networks · Physics 2014-09-12 Michele Castellana , Giorgio Parisi