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In this contribution three-loop QCD corrections to current correlators are considered. The application of the large momentum procedure, which provides a systematic expansion in $(m^2/q^2)^n$, allows the computation of terms up to $n=6$ for…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Steinhauser

In the nonlinear O(N) sigma model at N=3 unexpected cutoff effects have been found before with standard discretizations and lattice spacings. Here the situation is analyzed further employing additional data for the step scaling function of…

High Energy Physics - Lattice · Physics 2009-11-11 Francesco Knechtli , Bjoern Leder , Ulli Wolff

We study corrections to scaling in the O(3)- and O(4)-symmetric phi^4 model on the three-dimensional simple cubic lattice with nearest neighbour interactions. For this purpose, we use Monte Carlo simulations in connection with a finite size…

Condensed Matter · Physics 2008-11-26 Martin Hasenbusch

We discuss the leading-logarithmic power corrections in the $N$-jettiness subtraction scheme for higher-order perturbative QCD calculations. We compute the next-to-leading order power corrections for an arbitrary $N$-jet process, and we…

High Energy Physics - Phenomenology · Physics 2017-04-05 Radja Boughezal , Xiaohui Liu , Frank Petriello

We analyze the scaling and finite-size-scaling behavior of the two-dimensional 4-state Potts model. We find new multiplicative logarithmic corrections for the susceptibility, in addition to the already known ones for the specific heat. We…

High Energy Physics - Lattice · Physics 2009-10-28 Jesús Salas , Alan D. Sokal

As a computationally less costly test case for full QCD, we investigate an SU(3) Yang-Mills theory coupled to a bosonic spinor field. This theory corresponds to QCD with minus two quark flavors and is known as the bermion model. Our central…

High Energy Physics - Lattice · Physics 2007-05-23 Bernd Gehrmann

We study directed percolation at the upper critical transverse dimension $d=4$, where critical fluctuations induce logarithmic corrections to the leading (mean-field) behavior. Viewing directed percolation as a kinetic process, we address…

Statistical Mechanics · Physics 2009-11-10 Hans-Karl Janssen , Olaf Stenull

We report the results of a computation of the full next-to-leading order QCD corrections to the production of two $b\bar{b}$ pairs at the LHC. This calculation at the parton level provides predictions for well separated $b$-jets. The…

High Energy Physics - Phenomenology · Physics 2011-09-29 Nicolas Greiner , Alberto Guffanti , Thomas Reiter , Jürgen Reuter

In this work we give a detailed description of a method for the calculation of QCD corrections to electroweak processes in dimensional regularization that does not require any definition of the gamma_5 matrix in d dimensions. This method…

High Energy Physics - Phenomenology · Physics 2009-10-28 Giancarlo Cella , Giuseppe Curci , Giulia Ricciardi , Andrea Vicere'

We compute the beta-function and the anomalous dimension of all the non-derivative operators of the theory up to three-loops for the most general nearest-neighbour O(N)-invariant action together with some contributions to the four-loop…

High Energy Physics - Lattice · Physics 2009-10-22 Sergio Caracciolo , Andrea Pelissetto

QCD one-loop corrections to the semileptonic process $e^+ e^- \to \mu^- \bar \nu_\mu u \bar d$ are computed. We compare the exact calculation with a ``naive'' approach to strong radiative corrections which has been widely used in the…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. Maina , R. Pittau , M. Pizzio

We derive the high energy asymptotic of one- and two-loop corrections in the next-to-next-to-leading logarithmic approximation to the differential cross section of $W$-pair production at the LHC. For large invariant mass of the W-pair the…

High Energy Physics - Phenomenology · Physics 2015-03-17 J. H. Kuhn , F. Metzler , A. A. Penin , S. Uccirati

We establish in this paper the logarithmic Bramson correction for Fisher-KPP equations on the lattice $\mathbb{Z}$. The level sets of solutions with step-like initial conditions are located at position $c_*t-\frac{3}{2\lambda_*}\ln…

Analysis of PDEs · Mathematics 2023-03-09 Christophe Besse , Grégory Faye , Jean-Michel Roquejoffre , Mingmin Zhang

We present a simple lattice formulation of two-dimensional $\mathcal{N}=(2,2)$ $U(k)$ supersymmetric QCD (SQCD) with $N$ matter multiplets in the fundamental representation. The construction uses compact gauge link variables and exactly…

High Energy Physics - Lattice · Physics 2009-07-22 Daisuke Kadoh , Fumihiko Sugino , Hiroshi Suzuki

We provide a compendium of techniques that can be used to compute $O(N_f\alpha^2)$ corrections to low-energy electroweak processes. Specifically, these are the 2-loop electroweak corrections containing a light fermion loop. It is shown that…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Akhoury , Paresh Malde , Robin G. Stuart

We present the results of the first calculation of the logarithmic corrections to the QCD contribution to same-sign $W$-pair production, $pp\to e^\pm \nu_e \mu^\pm \nu_\mu jj$, for same-sign charged leptons. This includes all leading…

High Energy Physics - Phenomenology · Physics 2022-05-19 Jeppe R. Andersen , Bertrand Ducloué , Conor Elrick , Andreas Maier , Graeme Nail , Jennifer M. Smillie

In a previous paper I showed how the ideal SLAC derivative and second-derivative operators for an infinite lattice can be obtained in simple closed form in position space, and implemented very efficiently in a stochastic fashion for…

High Energy Physics - Lattice · Physics 2007-05-23 John P. Costella

We compute the electric screening mass in lattice QCD with Wilson fermions at finite temperature and chemical potential to one-loop order, and show that lattice artefacts arising from a finite lattice spacing result in an enhancement of the…

High Energy Physics - Lattice · Physics 2014-11-17 P. Kaste , H. J. Rothe

In this paper we conduct a numerical study of the supersymmetric O(3) non-linear sigma model. The lattice formulation we employ was derived in \cite{sigma1} and corresponds to a discretization of a {\it twisted} form of the continuum…

High Energy Physics - Lattice · Physics 2009-11-11 Simon Catterall , Sofiane Ghadab

We report the result of our evaluation of the Feynman diagrams appearing in the determination of the four-loop renormalization group functions in the two-dimensional lattice O($n$) $\sigma$-model by Caracciolo and Pelissetto. In the list of…

High Energy Physics - Lattice · Physics 2009-10-31 Dong-Shin Shin
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