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Related papers: Two-loop critical mass for Wilson fermions

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We calculate the PCAC mass for $(2+1)$ flavor full QCD with Wilson-type quarks. We adopt the Small Flow-time eXpansion (SFtX) method based on the gradient flow which provides us a general way to compute correctly renormalized observables…

High Energy Physics - Lattice · Physics 2020-01-07 Atsushi Baba , Shinji Ejiri , Kazuyuki Kanaya , Masakiyo Kitazawa , Asobu Suzuki , Hiroshi Suzuki , Yusuke Taniguchi , Takashi Umeda

We present the results of a precision computation of B_K with Wilson fermions. Simulations are performed at different lattice spacings, enabling continuum limit extrapolations. Two different twisted mass QCD (tmQCD) regularisations are…

High Energy Physics - Lattice · Physics 2007-05-23 P. Dimopoulos , J. Heitger , C. Pena , S. Sint , A. Vladikas

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

We consider two-flavor QCD in the lattice regularization with improved Wilson fermions. In this formulation chiral symmetry is explicitly broken at order a and hence the isovector axial currents require improvement as well as a finite…

High Energy Physics - Lattice · Physics 2007-05-23 Roland Hoffmann

We present a determination of a new class of Feynman diagrams relevant for second-order QCD corrections to the top quark decay t -> b W. Modern computing techniques allow us to perform a reduction of the original loop integrals to master…

High Energy Physics - Phenomenology · Physics 2017-08-23 Maciej Slusarczyk

We review on the calculation of the heavy-quark photo-production vector form factors, with the full dependence on the mass of the heavy-quark. The Feynman diagrams are evaluated within the dimensional regularization scheme and expressed in…

High Energy Physics - Phenomenology · Physics 2015-06-25 R. Bonciani

A comprehensive number of one-loop integrals in a theory with Wilson fermions at $r=1$ is computed using the Burgio-Caracciolo-Pelissetto algorithm. With the use of these results, the fermionic propagator in the coordinate representation is…

High Energy Physics - Lattice · Physics 2011-01-03 R. N. Rogalyov

We report on the status of an update of our collaboration's previous computation of light and strange quark masses in QCD with $N_{f}=2+1$ dynamical flavours. Bare quark masses are extracted from CLS ensembles, using $O(a)$-improved Wilson…

High Energy Physics - Lattice · Physics 2026-03-30 Gregorio Herdoíza , Fernando P. Panadero , Carlos Pena , Alejandro Sáez

The goal of this paper is two-fold. The first aim is to present a detailed version of the computation of the two-loop renormalization of the magnetic coupling in hot QCD. The second is to compare with lattice simulations the string tension…

High Energy Physics - Phenomenology · Physics 2015-06-25 P. Giovannangeli

We report on recent progress in the calculation of the 3-loop massive Wilson coefficients in deep-inelastic scattering at general values of $N$ for neutral and charged current reactions in the asymptotic region $Q^2 \gg m^2$. Four new out…

High Energy Physics - Phenomenology · Physics 2013-12-03 A. Behring , J. Blümlein , A. De Freitas , T. Pfoh , C. Raab , M. Round , J. Ablinger , A. Hasselhuhn , C. Schneider , F. Wißbrock , A. von Manteuffel

We compute, to two loops in pertubation theory, the fermionic contribution to rectangular RxT Wilson loops, for different values of R and T. We use the overlap fermionic action. We also employ the clover action, for comparison with existing…

High Energy Physics - Lattice · Physics 2016-09-01 A. Athenodorou , H. Panagopoulos

I present one-loop perturbative calculations of matching coefficients between matrix elements in continuum regulated QCD and lattice QCD with overlap fermions, with emphasis a recently-proposed variant discretization of the overlap. These…

High Energy Physics - Lattice · Physics 2016-09-01 Thomas DeGrand

We study QCD in 2 dimensions using the improved lattice fermionic Hamiltonian proposed by Luo, Chen, Xu and Jiang. The vector mass and the chiral condensate are computed for various $SU(N_C)$ gauge groups. We do observe considerable…

High Energy Physics - Lattice · Physics 2009-10-31 Xiang-Qian Luo , J. Jiang , S. Guo , J. Li , J. Liu , Z. Mei , H. Jirari , H. Kroger , C. M. Wu

With the aim of a further investigation of the nonperturbative Hamiltonian approach in gauge field theories, the mass spectrum of QED-2 is calculated numerically by using the corrected Hamiltonian that was constructed previously for this…

High Energy Physics - Theory · Physics 2009-11-11 S. A. Paston , E. V. Prokhvatilov , V. A. Franke

We calculate the critical value of the hopping parameter, $\kappa_c$, in Lattice QCD with Wilson fermions, to two loops in perturbation theory. This quantity is an additive renormalization; as such, it is characterized not only by the…

High Energy Physics - Lattice · Physics 2009-10-31 E. Follana , H. Panagopoulos

Cost estimates for simulations of full QCD with n_f=2 Wilson fermions by hybrid Monte Carlo are presented. The extrapolations are based on the average number of iterations of the iterative solver within the fermionic part of the HMC…

High Energy Physics - Lattice · Physics 2009-11-07 Thomas Lippert

In the light-front formulation of field theory, it is possible to write down a chirally invariant mass term. It thus appears as if one could solve the species doubling problem on a light-front quantized transverse lattice in a chirally…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Burkardt , H. El-Khozondar

Lattice computations in the Hamiltonian formulation have so far mainly focused on staggered fermions. In these proceedings, we study Wilson fermions in the Hamiltonian formulation and propose a new method to determine the resulting mass…

High Energy Physics - Lattice · Physics 2023-10-19 Takis Angelides , Lena Funcke , Karl Jansen , Stefan Kühn

With a key improvement, the auxiliary mass flow method is now able to compute Feynman integrals encountered in cutting-edge collider processes. We have successfully applied it to compute some integrals involved in two-loop electroweak…

High Energy Physics - Phenomenology · Physics 2022-03-16 Xiao Liu , Yan-Qing Ma

We present the analytic evaluation of the two-loop corrections to the amplitude for the scattering of four fermions in Quantum Electrodynamics, $f^- + f^+ + F^- + F^+ \to 0$, with $f$ and $F$ representing a massless and a massive lepton,…