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We consider the next-to-leading order QCD corrections to Higgs boson pair production, using our recent calculation of the form factors in the high-energy limit. We compute the virtual corrections to the partonic cross section, applying…

High Energy Physics - Phenomenology · Physics 2020-01-08 Joshua Davies , Gudrun Heinrich , Stephen P. Jones , Matthias Kerner , Go Mishima , Matthias Steinhauser , David Wellmann

We present the analytical $\alpha_{s}^3$ correction to the $Z^{0}$ decay rate into hadrons. We calculate this correction up to (and including) terms of the order $(m_Z^2/m_{top}^2)^3$ in the large top quark mass expansion. We rely on the…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. A. Larin , T. van Ritbergen , J. A. M. Vermaseren

The order parameters of dynamical chiral symmetry breaking in QCD, the dynamical mass of quarks and the chiral condensates, are evaluated by numerically solving the Non-Perturbative Renormalization Group (NPRG) equations. We employ an…

High Energy Physics - Theory · Physics 2009-10-31 Ken-Ichi Aoki , Kaoru Takagi , Haruhiko Terao , Masashi Tomoyose

We study the QCD charge asymmetry in t\bar{t} production at the Tevatron. We investigate the role of higher orders in perturbation theory by considering the resummation of potentially large logarithmic corrections that arise near partonic…

High Energy Physics - Phenomenology · Physics 2008-11-26 Leandro G. Almeida , George Sterman , Werner Vogelsang

With Wilson quarks, on-shell O($a$) improvement of the lattice QCD action is achieved by including the Sheikholeslami-Wohlert term and two further operators of mass dimension 5, which amount to a mass-dependent rescaling of the bare…

High Energy Physics - Lattice · Physics 2024-02-02 Mattia Dalla Brida , Roman Höllwieser , Francesco Knechtli , Tomasz Korzec , Stefan Sint , Rainer Sommer

We apply the Grassmann tensor renormalization group (GTRG) to the one-flavor lattice Gross-Neveu model in the presence of chemical potential. We compute the fermion number density and its susceptibility and confirm the validity of GTRG for…

High Energy Physics - Lattice · Physics 2015-04-01 Shinji Takeda , Yusuke Yoshimura

In a quasi-particle model of QCD matter at finite temperature with thermal masses for quarks and gluons from hard thermal loops, the equation of state (EOS) can be described by an effective temperature dependence of the strong coupling…

High Energy Physics - Phenomenology · Physics 2023-12-12 Feng-Lei Liu , Xiang-Yu Wu , Shanshan Cao , Guang-You Qin , Xin-Nian Wang

The strongly correlated fermions play a vital role in modern physics. For a given fermionic Hamiltonian system, the most widely used approach to explore the underlying physics is to study the wave function that incorporates Fermi-Dirac…

Strongly Correlated Electrons · Physics 2026-04-08 Jian-Gang Kong , Zhi Yuan Xie

25th-order high-temperature series are computed for a general nearest-neighbor three-dimensional Ising model with arbitrary potential on the simple cubic lattice. In particular, we consider three improved potentials characterized by…

Statistical Mechanics · Physics 2009-11-07 Massimo Campostrini , Andrea Pelissetto , Paolo Rossi , Ettore Vicari

The critical behavior of the chiral quark-meson model is studied within the Functional Renormalization Group (FRG). We derive the flow equation for the scale dependent thermodynamic potential at finite temperature and density in the…

High Energy Physics - Phenomenology · Physics 2014-11-18 B. Stokic , B. Friman , K. Redlich

The perturbative QCD fragmentation functions for a heavy quark to fragment into heavy-light mesons are studied in the heavy-quark limit. The fragmentation functions for S-wave pseudoscalar and vector mesons are calculated to next-to-leading…

High Energy Physics - Phenomenology · Physics 2010-11-01 E. Braaten , K. Cheung , S. Fleming , T. C. Yuan

Effective-field-theory methods are used to separate the free energy for a nonabelian gauge theory at high temperature $T$ into the contributions from the momentum scales $T$, $gT$, and $g^2T$, where $g$ is the coupling constant at the scale…

High Energy Physics - Phenomenology · Physics 2009-07-09 Eric Braaten , Agustin Nieto

A comprehensive study of the QCD phase diagram is one of the challenging and open problems in high energy physics. Having significant astrophysical implications, this is also important in constructing the chronological evolution of the…

High Energy Physics - Phenomenology · Physics 2023-07-13 Sabarnya Mitra

The complete renormalization of the generating functional for Green functions of quark currents between one-nucleon states in two flavor heavy baryon chiral perturbation theory is performed to order $q^4$. We show how the heat kernel method…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ulf-G. Meißner , Guido Müller , Sven Steininger

The renormalon calculus is used to calculate the terms of order $\beta_0^{n-1}\alpha_s^n$ in the perturbative expansions of the Wilson coefficients and hard-scattering kernels entering the QCD factorization formula for hadronic B-meson…

High Energy Physics - Phenomenology · Physics 2009-11-07 Matthias Neubert , Ben D. Pecjak

We discuss formulation of QCD in Minkowski-spacetime and effect of an operator product expansion by means of normal ordering of fields in the QCD Lagrangian. The formulation of QCD in the Minkowski-spacetime allows us to solve a constraint…

High Energy Physics - Phenomenology · Physics 2017-12-05 V. I. Shilin , V. N. Pervushin

Novel randomness-induced disordered ground states in two-dimensional (2D) quantum spin systems have been attracting much interest. For quantitative analysis of such random quantum spin systems, one of the most promising numerical approaches…

Strongly Correlated Electrons · Physics 2020-11-03 Kouichi Seki , Toshiya Hikihara , Kouichi Okunishi

We present a method which, starting directly from QCD, permits a systematic gauge-invariant expansion to be made for all hard processes involving quarkonia in powers of the quark relative velocity, a small natural parameter for heavy quark…

High Energy Physics - Phenomenology · Physics 2009-10-28 Hafsa Khan , Pervez Hoodbhoy

Choosing a basis set is the first step of a quantum chemistry calculation and it sets its maximum accuracy. This choice of orbitals is limited by strong technical constraints as one must be able to compute a large number of six dimensional…

Strongly Correlated Electrons · Physics 2026-02-04 Nicolas Jolly , Yuriel Núñez Fernández , Xavier Waintal

The quasi-2D electrostatic systems, characterized by periodicity in two dimensions with a free third dimension, have garnered significant interest in many fields. We apply the sum-of-Gaussians (SOG) approximation to the Laplace kernel,…

Numerical Analysis · Mathematics 2024-12-09 Xuanzhao Gao , Shidong Jiang , Jiuyang Liang , Zhenli Xu , Qi Zhou
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