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In this paper we present the 1-loop perturbative computation of the renormalization constants and mixing coefficients of the lattice quark operators of rank three whose hadronic elements enter in the determination of the second moment of…

High Energy Physics - Lattice · Physics 2016-09-01 Giuseppe Beccarini , Massimo Bianchi , Stefano Capitani , Giancarlo Rossi

We introduce a more general set of kinematic renormalization schemes than the original momentum (MOM) subtraction schemes of Celmaster and Gonsalves. These new schemes will depend on a parameter $\omega$ which tags the external momentum of…

High Energy Physics - Theory · Physics 2018-04-25 J. A. Gracey , R. M. Simms

We utilize the gradient flow to define and calculate electric dipole moments induced by the strong QCD $\theta$-term and the dimension-6 Weinberg operator. The gradient flow is a promising tool to simplify the renormalization pattern of…

High Energy Physics - Lattice · Physics 2018-04-18 Jack Dragos , Thomas Luu , Andrea Shindler , Jordy de Vries

Using QCD sum rules, we calculate the electric dipole moment of the neutron d_n induced by all CP violating operators up to dimension five. We find that the chromoelectric dipole moments of quarks \tilde d_i, including that of the strange…

High Energy Physics - Phenomenology · Physics 2009-10-31 Maxim Pospelov , Adam Ritz

Lattice calculations of matrix elements involving heavy-light quark bilinears are of interest in calculating a variety of properties of B and D mesons, including decay constants and mixing parameters. A large source of uncertainty in the…

High Energy Physics - Lattice · Physics 2013-11-13 Oscar F. Hernandez , Brian R. Hill

We compute the full one loop correction to the quartic vertex of QCD at the fully symmetric point. This allows us to define a new momentum subtraction (MOM) scheme in the class of schemes introduced by Celmaster and Gonsalves. Hence using…

High Energy Physics - Phenomenology · Physics 2015-06-19 J. A. Gracey

We calculate the two-loop QCD anomalous dimension matrix (ADM) gamma^(1)_NDR in the NDR-MSbar scheme for all the flavour-changing four-quark dimension-six operators that are relevant in both the Standard Model and its extensions. Both…

High Energy Physics - Phenomenology · Physics 2024-02-15 Andrzej J. Buras , Mikolaj Misiak , Joerg Urban

A complete one loop analysis of the chromoelectric dipole contribution to the electric dipole moment (edm) of the quarks and of the neutron in N=1 supergravity including the gluino, chargino and neutralino exchange contributions and…

High Energy Physics - Phenomenology · Physics 2014-11-17 Tarek Ibrahim , Pran Nath

We provide a consistent and complete calculation of the electric dipole moments of the deuteron, helion, and triton in the framework of chiral effective field theory. The CP-conserving and CP-violating interactions are treated on equal…

High Energy Physics - Phenomenology · Physics 2015-05-19 J. Bsaisou , J. de Vries , C. Hanhart , S. Liebig , Ulf-G. Meißner , D. Minossi , A. Nogga , A. Wirzba

Electric dipole moments of nuclei, diamagnetic atoms, and certain molecules are induced by CP-violating nuclear forces. Naive dimensional analysis predicts these forces to be dominated by long-range one-pion-exchange processes, with…

High Energy Physics - Phenomenology · Physics 2021-02-03 Jordy de Vries , Alex Gnech , Sachin Shain

We review several aspects of flavour-diagonal CP violation, focussing on the role played by the electric dipole moments (EDMs) of leptons, nucleons, atoms and molecules, which consitute the source of several stringent constraints on new…

High Energy Physics - Phenomenology · Physics 2009-07-09 Maxim Pospelov , Adam Ritz

Fierz transformations for four-fermion operators are generalized to the one-loop level. A general renormalization scheme is used to compute QCD and QED corrections to the tree-level relations, which result from Fierz-evanescent operators.…

High Energy Physics - Phenomenology · Physics 2022-08-24 Jason Aebischer , Marko Pesut

Off-lightcone Wilson-line operators are constructed using local operators connected by time-like or space-like Wilson lines, which ensure gauge invariance. Off-lightcone Wilson-line operators have broad applications in various contexts. For…

High Energy Physics - Phenomenology · Physics 2024-07-22 Nora Brambilla , Xiang-Peng Wang

We describe a procedure to determine moments of parton distribution functions of any order in lattice quantum chromodynamics (QCD). The procedure is based on the gradient flow for fermion and gauge fields. The flowed matrix elements of…

High Energy Physics - Lattice · Physics 2024-10-03 Andrea Shindler

Computing disconnected diagrams in Lattice QCD (operator insertion in a quark loop) entails the computationally demanding problem of taking the trace of the all to all quark propagator. We first outline the basic algorithm used to compute a…

High Energy Physics - Lattice · Physics 2016-11-09 Arjun Singh Gambhir , Andreas Stathopoulos , Kostas Orginos , Boram Yoon , Rajan Gupta , Sergey Syritsyn

High luminosity accelerators have greatly increased the interest in semi-exclusive and exclusive reactions involving nucleons. The relevant theoretical information is contained in the nucleon wavefunction and can be parametrized by moments…

We study $4$-dimensional SQCD with gauge group $SU(N_c)$ and $N_f$ flavors of chiral super-multiplets on the lattice. We perform extensive calculations of matrix elements and renormalization factors of composite operators in Perturbation…

High Energy Physics - Lattice · Physics 2019-05-08 M. Costa , H. Panagopoulos

Extracting parton distribution functions (PDFs) from lattice QCD calculation of quasi-PDFs has been actively pursued in recent years. We extend our proof of the multiplicative renormalizability of quasi-quark operators in Ref. [1] to…

High Energy Physics - Phenomenology · Physics 2019-02-20 Zheng-Yang Li , Yan-Qing Ma , Jian-Wei Qiu

In this paper we consider the matching coefficient of the vector current between Quantum Chromodynamics (QCD) and Non-Relativistic QCD (NRQCD) to three-loop order in perturbation theory. We evaluate the fermionic corrections containing a…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Marquard , J. H. Piclum , D. Seidel , M. Steinhauser

The flavor-conserving non-leptonic weak interaction can be studied experimentally through the observation of parity violation in nuclear and few-body systems. At hadronic scales, matrix elements of parity-violating four-quark operators…

High Energy Physics - Phenomenology · Physics 2013-05-30 B. C. Tiburzi