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We present the numerical equivalence between the Wilson flow and stout-link smearing, both of which are known to be a relatively new technique for smoothing the gauge fields on the lattice. Although the conceptional correspondence between…

High Energy Physics - Lattice · Physics 2023-11-28 Masato Nagatsuka , Keita Sakai , Shoichi Sasaki

We consider spectral quantities in lattice QCD and determine the asymptotic behavior of their discretization errors. Wilson fermion with O$(a)$-improvement, (M\"obius) Domain wall fermion (DWF), and overlap Dirac operators are considered in…

High Energy Physics - Lattice · Physics 2024-10-18 Nikolai Husung , Peter Marquard , Rainer Sommer

I analyze cutoff effects of the gradient flow for Wilson-type fermions. I show that with a proper choice of the higher dimensional fields in the Symanzik effective theory, O($a$) improvement of the action is achieved changing the initial…

High Energy Physics - Lattice · Physics 2023-01-23 Andrea Shindler

We carry out the one-loop calculation of mass dependent ${\cal O}(a)$ improvement coefficients in the relativistic heavy quark action recently proposed, employing the ordinary perturbation theory with the fictitious gluon mass as an…

High Energy Physics - Lattice · Physics 2015-06-25 Sinya Aoki , Yasuhisa Kayaba , Yoshinobu Kuramashi

In view of the recent excitement about a tension between determinations of f_Ds from experiment and from simulations of lattice QCD with dynamical quarks, we try to clear up the picture of lattice determinations in the continuum limit of…

High Energy Physics - Lattice · Physics 2011-04-04 Jochen Heitger , Andreas Juttner

The coefficient of the O(a)-improved Sheikholeslami-Wohlert action for Wilson fermions are perturbatively determined at one-loop level and estimated at two-loop level.

High Energy Physics - Lattice · Physics 2009-10-22 Satchidananda Naik

In this paper we investigate the cutoff effects at tree-level of perturbation theory for three different lattice regularizations of fermions -- maximally twisted mass Wilson, overlap and Creutz fermions. We show that all three kinds of…

High Energy Physics - Lattice · Physics 2008-12-23 Krzysztof Cichy , Jenifer Gonzalez Lopez , Agnieszka Kujawa

The conservation of the isovector axial current in lattice QCD with massless Wilson quarks is studied to one-loop order of perturbation theory. Following a strategy described in a previous publication, the O($a$) counterterm required for…

High Energy Physics - Lattice · Physics 2016-08-15 M. Lüscher , P. Weisz

We discuss an action in which the fermion matrix has single level stout smearing for the hopping terms together with unsmeared links for the clover term. With the (tree level) Symanzik improved gluon action this constitutes the Stout Link…

We calculate the third coefficient of the lattice beta function in QCD with Wilson fermions, extending the pure gauge results of Luescher and Weisz; we show how this coefficient modifies the scaling function on the lattice. We also…

High Energy Physics - Lattice · Physics 2009-10-30 B. Alles , C. Christou , A. Feo , H. Panagopoulos , E. Vicari

We calculate the Sheikholeslami-Wohlert coefficient of the O(a) improvement term for Wilson fermions in any representation of the gauge group SU(N) perturbatively at the one-loop level. The result applies to QCD with adjoint quarks and to…

High Energy Physics - Lattice · Physics 2013-06-12 S. Musberg , G. Münster , S. Piemonte

We study non-perturbative improvement in SU(3) lattice gauge theory coupled to fermions in the fundamental and two-index symmetric representations. Our lattice action is defined with hypercubic smeared links incorporated into the…

High Energy Physics - Lattice · Physics 2011-06-07 Yigal Shamir , Benjamin Svetitsky , Evgeny Yurkovsky

When designing lattice actions, gauge field smearing is frequently used to define the lattice Dirac operator. Since the smearing procedure removes effects of ultraviolet fluctuations, the fermions effectively see a larger lattice spacing…

High Energy Physics - Lattice · Physics 2022-12-09 Andreas Risch , Stefan Schaefer , Rainer Sommer

We perturbatively determine O($a$) boundary improvement coefficients at 1-loop for the Schr\"odinger Functional coupling with improved gauge actions. These coefficients are required to implement the 1-loop O($a$) improvement in full QCD…

High Energy Physics - Lattice · Physics 2015-06-25 Shinji Takeda , Sinya Aoki , Kiyotomo Ide

We evaluate the one-loop corrections to the Wilson coefficient of the kinetic operator in the operator product expansion of the differential B -> X_c l nu decay rate. With a moderate cut on the lepton energy, the one-loop terms change the…

High Energy Physics - Phenomenology · Physics 2011-03-23 Thomas Becher , Heike Boos , Enrico Lunghi

We present a detailed study of pion and rho mass, decay constants and quark mass in Lattice QCD with two flavors of dynamical quarks. We use Wilson gauge and fermion action at $\beta=5.6$ on $ 16^3 \times 32 $ lattice at eight values of the…

High Energy Physics - Lattice · Physics 2007-12-31 Asit K. De , A. Harindranath , Jyotirmoy Maiti

We report on our Ward identity determination of the $\mathrm{O}(a)$ improvement coefficient for the flavour singlet scalar density, namely $g_\mathrm{S}$, from three-flavour lattice QCD with Wilson-clover fermions and the tree-level…

High Energy Physics - Lattice · Physics 2025-02-14 Pia Leonie Jones Petrak , Jochen Heitger , Fabian Joswig

We compute the O(g^2) contribution to the thermodynamic pressure for Wilson fermions in the standard, the twisted mass, and clover improved formulation in lattice perturbation theory, including finite mass effects. We compare the continuum…

High Energy Physics - Lattice · Physics 2010-05-28 Owe Philipsen , Lars Zeidlewicz

As a feasibility study for a scaling test we investigate the behavior of algorithms for dynamical fermions in the N_f=2 Schroedinger functional at an intermediate volume of 1 fm^4. Simulations were performed using HMC with two…

High Energy Physics - Lattice · Physics 2009-11-10 Michele Della Morte , Roland Hoffmann , Francesco Knechtli , Ulli Wolff

Scale setting for QCD with two flavours of staggered quarks is examined using Wilson flow over a factor of four change in both the lattice spacing and the pion mass. The statistics needed to keep the errors in the flow scale fixed is found…

High Energy Physics - Lattice · Physics 2015-11-18 Saumen Datta , Sourendu Gupta , Anirban Lahiri , Andrew Lytle , Pushan Majumdar