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We present a new method to calculate moments of parton distribution functions of any order with lattice QCD computations. This method leverages the gradient flow for fermion and gauge fields. The flowed matrix elements of twist-2 operators…

High Energy Physics - Lattice · Physics 2024-10-02 Andrea Shindler

A renormalization scheme is suggested where QCD input parameters - quark mass and coupling constant - are expressed in terms of gauge invariant and infrared stable quantities. For the renormalization of coupling constant the quark anomalous…

High Energy Physics - Theory · Physics 2007-05-23 G. Sh. Japaridze , K. Sh. Turashvili

I present a review of current and near-future experimental investigations of CP violation. In this review, I cover limits on particle electric dipole moments (EDMs) and CP violation studies in the K and B systems. The wealth of results from…

High Energy Physics - Experiment · Physics 2010-11-05 Owen Long

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

In this work, the renormalization of the second-order QCD is analyzed at one-loop level, including an arbitrary chromomagnetic factor and quark self-interactions, which are mass dimension four operators in this framework. The model is shown…

High Energy Physics - Phenomenology · Physics 2013-07-12 Carlos A. Vaquera-Araujo

We calculate the anomalous dimension of the $|\Delta S| = 1$ current-current operators of the weak effective Lagrangian at next-to-next-to-next-to-leading order (NNNLO) in QCD. This constitutes the first step towards a full four-loop…

High Energy Physics - Phenomenology · Physics 2026-04-21 Joachim Brod , Emmanuel Stamou , Tom Steudtner

We prove a set of identities for the anomalous dimensions of the quark and gluon conformal operators in the flavour singlet channel in QCD. These relations arise from the graded commutator algebra of the N=1 superconformal group. We…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Belitsky , D. Muller , A. Schafer

Within the framework of large momentum effective theory (LaMET), genenaralized parton distributions (GPDs) can be extracted from lattice calculations of quasi-GPDs through a perturbative matching relation, up to power corrections that are…

High Energy Physics - Phenomenology · Physics 2019-08-14 Yu-Sheng Liu , Wei Wang , Ji Xu , Qi-An Zhang , Jian-Hui Zhang , Shuai Zhao , Yong Zhao

The $x$-dependence of light-cone distribution amplitude (LCDA) can be directly calculated from a quasi distribution amplitude (DA) in lattice QCD within the framework of large-momentum effective theory (LaMET). In this paper, we study the…

High Energy Physics - Phenomenology · Physics 2019-06-05 Yu-Sheng Liu , Wei Wang , Ji Xu , Qi-An Zhang , Shuai Zhao , Yong Zhao

Nucleon electric dipole moments originating from strong CP-violation are being calculated by several groups using lattice QCD. We revisit the finite volume corrections to the CP-odd nucleon matrix elements of the electromagnetic current,…

High Energy Physics - Phenomenology · Physics 2014-07-25 Tarik Akan , Feng-Kun Guo , Ulf-G. Meißner

We report on our studies of the renormalization of flavor singlet quark bilinear operators in lattice QCD. The renormalization constants are determined non-perturbatively using gauge field ensembles with Nf=2 dynamical clover improved…

High Energy Physics - Lattice · Physics 2017-03-13 G. S. Bali , S. Collins , M. Göckeler , S. Piemonte , A. Sternbeck

We perform the non-perturbative (quenched) renormalization of the chromo-magnetic operator in Heavy Quark Effective Theory and its three-loop matching to QCD. At order 1/m of the expansion, the operator is responsible for the mass splitting…

High Energy Physics - Lattice · Physics 2010-12-13 A. G. Grozin , D. Guazzini , P. Marquard , H. B. Meyer , J. H. Piclum , R. Sommer , M. Steinhauser

We analyze the constraints placed on individual, flavor diagonal CP-violating phases in the minimal supersymmetric extension of the Standard Model (MSSM) by current experimental bounds on the electric dipole moments (EDMs) of the neutron,…

High Energy Physics - Phenomenology · Physics 2014-11-21 Yingchuan Li , Stefano Profumo , Michael Ramsey-Musolf

We study in QCD the $\overline{\mathrm{MS}}$ renormalization of three-quark operators with up to two covariant derivatives, which are related to $N=0,1,2$ Mellin moments of baryonic light-cone distributions amplitudes. Apart from general…

High Energy Physics - Phenomenology · Physics 2026-04-14 Kniehl B. A. , Veretin O. L

We discuss the weak coupling expansion of lattice QCD with the overlap Dirac operator. The Feynman rules for lattice QCD with the overlap Dirac operator are derived and the quark self-energy and vacuum polarization are studied at the…

High Energy Physics - Lattice · Physics 2009-10-31 M. Ishibashi , Y. Kikukawa , T. Noguchi , A. Yamada

We report on a comparative study of the profile of the CKM unitarity triangle, and the resulting CP asymmetries in B decays, in the standard model and in several variants of the minimal supersymmetric standard model (MSSM), characterized by…

High Energy Physics - Phenomenology · Physics 2010-11-23 A. Ali , D. London

We present the non-forward quark matrix elements of operators with one and two covariant derivatives needed for the renormalisation of the first and second moments of generalised parton distributions in one-loop lattice perturbation theory…

High Energy Physics - Lattice · Physics 2008-11-26 M. Gockeler , R. Horsley , H. Perlt , P. E. L. Rakow , A. Schaefer , G. Schierholz , A. Schiller

We extend to the clover improved lattice formulation of QCD the resummation of cactus diagrams, i.e. a certain class of tadpole-like gauge invariant diagrams. Cactus resummation yields an improved perturbative expansion. We apply it to the…

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

In QCD sum-rule methods, the fundamental field-theoretical quantities are correlation functions of composite operators that serve as hadronic interpolating fields. One of the challenges of loop corrections to QCD correlation functions in…

High Energy Physics - Phenomenology · Physics 2023-01-04 T. de Oliveira , D. Harnett , A. Palameta , T. G. Steele

Using the domain-wall formulation of lattice fermions, we have computed the one-loop renormalization factors of one-link operators which measure the first nontrivial moment of the unpolarized, polarized and transversity structure functions,…

High Energy Physics - Lattice · Physics 2009-11-11 Stefano Capitani