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We introduce an optimal renormalization group analysis pertinent to the analysis of polarization functions associated with the $s$-quark mass relevant in $\tau$-decay. The technique is based on the renormalization group invariance…

High Energy Physics - Phenomenology · Physics 2016-12-30 B. Ananthanarayan , Diganta Das

High-order perturbative calculations for thermodynamic quantities in QCD are complicated by the physics of dynamical screening that affects the soft, long-wavelength modes of the system. Here, we provide details for the evaluation of this…

High Energy Physics - Phenomenology · Physics 2022-06-17 Tyler Gorda , Aleksi Kurkela , Risto Paatelainen , Saga Säppi , Aleksi Vuorinen

Analytic continuation of the perturbative series from spacelike to timelike regions is performed using renormalization group summed perturbation theory (RGSPT). This method provides an all-order summation of kinematic ``$\pi^2$-terms''…

High Energy Physics - Phenomenology · Physics 2023-09-19 M. S. A. Alam Khan

We present results of a three-loop hard-thermal-loop perturbation theory calculation of the thermodynamical potential of a finite temperature and baryon chemical potential system of quarks and gluons. We compare the resulting pressure and…

High Energy Physics - Phenomenology · Physics 2014-03-12 Najmul Haque , Jens O. Andersen , Munshi G. Mustafa , Michael Strickland , Nan Su

The successive perturbative estimates of the pressure of QCD at high temperature T show no sign of convergence, unless the coupling constant g is unrealistically small. Exploiting known results of an effective field theory which separates…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. -P. Blaizot , E. Iancu , A. Rebhan

The weak-coupling expansion of the QCD free energy is known to order g_s^6log{g_s}, however, the resulting series is poorly convergent at phenomenologically relevant temperatures. In this proceedings, I discuss hard-thermal-loop…

High Energy Physics - Phenomenology · Physics 2011-06-21 Nan Su

We present a Lattice Non-Perturbative Renormalization Group (NPRG) approach to quantum XY spin models by using a mapping onto hardcore bosons. The NPRG takes as initial condition of the renormalization group flow the (local) limit of…

Strongly Correlated Electrons · Physics 2021-12-30 A. Rancon

We argue that the choice of an appropriate, massive, renormalization scheme can greatly improve the apparent convergence of perturbation theory at finite temperature. This is illustrated by the calculation of the pressure of a scalar field…

High Energy Physics - Phenomenology · Physics 2018-05-09 Jean-Paul Blaizot , Nicolas Wschebor

Thermodynamics and the phase structure of the Polyakov loop-extended two flavors chiral quark--meson (PQM) model is explored beyond the mean-field approximation. The analysis of the PQM model is based on the functional renormalization group…

High Energy Physics - Phenomenology · Physics 2011-05-19 V. Skokov , B. Friman , K. Redlich

We show that the Renormalization Group formalism allows to compute with accuracy the zero temperature correlation functions and particle densities of quantum systems.

Quantum Physics · Physics 2009-11-06 Pierre Gosselin , Herve Mohrbach

We determine the strange quark mass ($m_s$) and quark mixing element $\vert V_{us}\vert $, and their joint determination from the Cabibbo suppressed hadronic $\tau$ decays in various perturbative schemes. Compared to the previous analysis…

High Energy Physics - Phenomenology · Physics 2023-09-19 B. Ananthanarayan , Diganta Das , M. S. A. Alam Khan

The hard-thermal-loop perturbation theory (HTLpt) framework is used to calculate the thermodynamic functions of a quark-gluon plasma to three-loop order. This is the highest order accessible by finite temperature perturbation theory applied…

High Energy Physics - Phenomenology · Physics 2015-03-19 Jens O. Andersen , Lars E. Leganger , Michael Strickland , Nan Su

We calculate the three-loop thermodynamic potential of QCD at finite temperature and chemical potential(s) using the hard-thermal-loop perturbation theory (HTLpt) reorganization of finite temperature and density QCD. The resulting analytic…

High Energy Physics - Phenomenology · Physics 2016-03-15 Najmul Haque , Aritra Bandyopadhyay , Jens O. Andersen , Munshi G. Mustafa , Michael Strickland , Nan Su

We analyse the top-quark decay at the next-to-next-to-leading order (NNLO) in QCD by using the Principle of Maximum Conformality (PMC) which provides a systematic way to eliminate renormalization scheme and scale ambiguities in perturbative…

High Energy Physics - Phenomenology · Physics 2023-02-08 Rui-Qing Meng , Sheng-Quan Wang , Ting Sun , Chao-Qin Luo , Jian-Ming Shen , Xing-Gang Wu

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 demonstrate that at finite density and sufficiently high temperatures, phase-quenched (PQ) lattice simulations combined with perturbation theory provide a new precision approach to determining the thermodynamics of QCD across a wide arc…

High Energy Physics - Phenomenology · Physics 2025-11-14 Tyler Gorda , Pablo Navarrete , Risto Paatelainen , Leon Sandbote , Kaapo Seppänen

We present a first study of the effects of renormalization-group resummation (RGR) and leading-renormalon resummation (LRR) on the systematic errors of the unpolarized isovector nucleon generalized parton distribution in the framework of…

High Energy Physics - Lattice · Physics 2024-08-20 Jack Holligan , Huey-Wen Lin

We present a new method for the evaluation of the perturbative expansion of the QCD pressure which is valid at all values of the temperature and quark chemical potentials in the deconfined phase and which we work out up to and including…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Ipp , K. Kajantie , A. Rebhan , A. Vuorinen

We calculate the thermodynamic functions of a quark-gluon plasma for general N_c and N_f to three-loop order using hard-thermal-loop perturbation theory. At this order, all the ultraviolet divergences can be absorbed into renormalizations…

High Energy Physics - Phenomenology · Physics 2011-03-07 Jens O. Andersen , Lars E. Leganger , Michael Strickland , Nan Su

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