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Related papers: DIS Structure Functions in Lattice QCD

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By making use of Numerical Stochastic Perturbation Theory (NSPT) we can compute renormalization constants for Lattice QCD to high orders, e.g. three or four loops for quark bilinears. We report on the status of our computations, which…

High Energy Physics - Lattice · Physics 2008-11-26 Francesco Di Renzo , Vincenzo Miccio , Luigi Scorzato , Christian Torrero

Quark currents renormalization constants can in principle be safely computed in lattice perturbation theory. In practice, traditional lattice perturbative computations are quite cumbersome, so that so far only the first loop results were…

High Energy Physics - Lattice · Physics 2007-05-23 F. Di Renzo , A. Mantovi , V. Miccio , C. Torrero , L. Scorzato

Lattice QCD calculations of disconnected quark loop operators are extremely computer time-consuming to evaluate. To compute these diagrams using lattice techniques, one generally uses stochastic noise methods. These employ a randomly…

High Energy Physics - Lattice · Physics 2019-06-26 Suman Baral , Travis Whyte , Walter Wilcox , Ronald B. Morgan

We calculate one-loop renormalization factors and mixing coefficients of bilinear quark operators for a class of gluon actions with six-link loops and O(a)-improved quark action. The calculation is carried out by evaluating on-shell Green's…

High Energy Physics - Lattice · Physics 2009-10-31 Sinya Aoki , Kei-ichi Nagai , Yusuke Taniguchi , Akira Ukawa

Second- and third-order results are presented for the structure functions of charged-current deep-inelastic scattering in the framework of massless perturbative QCD. We write down the two-loop differences between the corresponding…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Moch , M. Rogal , A. Vogt

As a first step towards the complete calculation of deep-inelastic scattering at third order of massless perturbative QCD, we have computed the fermionic (nf) contributions to the flavour non-singlet structure functions in unpolarized…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. A. M. Vermaseren , S. Moch , A. Vogt

We perform a pilot study of the perturbative renormalization of a Supersymmetric gauge theory with matter fields on the lattice. As a specific example, we consider Supersymmetric ${\cal N}{=}1$ QCD (SQCD). We study the self-energies of all…

High Energy Physics - Lattice · Physics 2017-08-16 M. Costa , H. Panagopoulos

We compute non-perturbative renormalization constants of fermionic bilinears for the chirally improved lattice fermions in the quenched approximation of QCD. We address finite size effects and the influence of Gribov copies. Our results are…

High Energy Physics - Lattice · Physics 2014-11-17 Christof Gattringer , M. Göckeler , Philipp Huber , C. B. Lang

We perform a pilot study of the perturbative renormalization of a Supersymmetric gauge theory with matter fields on the lattice. As a specific example, we consider Supersymmetric ${\cal N}{=}1$ QCD (SQCD). We study the self-energies of all…

High Energy Physics - Lattice · Physics 2018-04-18 Marios Costa , Haralambos Panagopoulos

We present here the first result on the three-loop gluon jet function in perturbative QCD. Using the three-loop coefficient functions [1,2] for deep-inelastic scattering via the exchange of a virtual photon that couples to quarks or a…

High Energy Physics - Phenomenology · Physics 2018-11-28 Pulak Banerjee , Prasanna K. Dhani , V. Ravindran

We present preliminary results of the first lattice QCD calculation of the K -> pi matrix elements of the chromomagnetic operator O_{CM}=g sbar sigma_{munu} G_{munu} d, which appears in the effective Hamiltonian describing Delta S=1…

High Energy Physics - Lattice · Physics 2015-09-02 M. Constantinou , M. Costa , R. Frezzotti , V. Lubicz , G. Martinelli , D. Meloni , H. Panagopoulos , S. Simula

Starting from the QCD Schroedinger functional (SF), we define a family of renormalization schemes for two four-quark operators, which are, in the chiral limit, protected against mixing with other operators. With the appropriate flavour…

High Energy Physics - Lattice · Physics 2015-06-25 F. Palombi , C. Pena , S. Sint

In this paper we present results for the renormalization of gauge invariant nonlocal fermion operators which contain a Wilson line, to one-loop level in lattice perturbation theory. Our calculations have been performed for Wilson/clover…

High Energy Physics - Lattice · Physics 2018-10-03 Martha Constantinou , Haralambos Panagopoulos

Renormalization constants can be computed by means of Numerical Stochastic Perturbation Theory to two/three loops in lattice perturbation theory, both in the quenched approximation and in the full (unquenched) theory. As a case of study we…

High Energy Physics - Lattice · Physics 2009-11-10 F. Di Renzo , A. Mantovi , V. Miccio , L. Scorzato , C. Torrero

Renormalization factors for local vector and axial vector currents for the Wilson quark action are perturbatively calculated to one loop order including finite quark masses from the ratio of the on-shell quark matrix elements in the Feynman…

High Energy Physics - Lattice · Physics 2009-10-30 Yoshinobu Kuramashi

In this work we calculate the renormalization of counterterms which arise in the lattice action of $N = 1$ Supersymmetric QCD (SQCD). In particular, the fine-tunings for quartic couplings are studied in detail through both continuum and…

High Energy Physics - Lattice · Physics 2024-09-17 Marios Costa , Herodotos Herodotou , Haralambos Panagopoulos

We briefly review and compare three methods (one perturbative, one based on Ward Identities and one non-perturbative) for the calculation of the renormalization constants of lattice operators. The following results are presented: (a) non…

High Energy Physics - Lattice · Physics 2009-10-28 A. Vladikas

Using Schroedinger Functional methods, we compute the non-perturbative renormalisation and renormalisation group running of several four-fermion operators, in the framework of lattice simulations with two dynamical Wilson quarks. Two…

High Energy Physics - Lattice · Physics 2008-11-26 P. Dimopoulos , G. Herdoiza , F. Palombi , M. Papinutto , C. Pena , A. Vladikas , H. Wittig

We explore application of the domain wall fermion formalism of lattice QCD to calculate the $K\to\pi\pi$ decay amplitudes in terms of the $K\to\pi$ and $K\to 0$ hadronic matrix elements through relations derived in chiral perturbation…

We show how to perform a resummation, to all orders in perturbation theory, of a certain class of gauge invariant tadpole-like diagrams in Lattice QCD. These diagrams are often largely responsible for lattice artifacts. Our resummation…

High Energy Physics - Lattice · Physics 2015-06-25 H. Panagopoulos , E. Vicari