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The Feynman--Hellmann approach to computing matrix elements in lattice QCD by first adding a perturbing operator to the action is described using the transition matrix and the Dyson expansion formalism. This perturbs the energies in the…

High Energy Physics - Lattice · Physics 2023-08-22 M. Batelaan , K. U. Can , R. Horsley , Y. Nakamura , P. E. L. Rakow , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

In this talk, we motivate the calculation of the matrix elements of novel CP violating operators, the quark EDM and the quark chromo EDM operators, within the nucleon state using lattice QCD. These matrix elements, combined with the bound…

High Energy Physics - Lattice · Physics 2017-04-05 Rajan Gupta

The standard method for determining matrix elements in lattice QCD requires the computation of three-point correlation functions. This has the disadvantage of requiring two large time separations: one between the hadron source and operator…

High Energy Physics - Lattice · Physics 2023-02-13 M. Batelaan , K. U. Can , R. Horsley , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

Jurco, Moller, Schraml, Schupp, and Wess have shown how to construct noncommutative SU(N) gauge theories from a consistency relation. Within this framework, we present the Feynman rules for noncommutative QCD and compute explicitly the most…

High Energy Physics - Phenomenology · Physics 2014-11-17 Carl E. Carlson , Christopher D. Carone , Richard F. Lebed

We present an explicit computation of matrix elements of the hamiltonian constraint operator in non-perturbative quantum gravity. In particular, we consider the euclidean term of Thiemann's version of the constraint and compute its action…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Roumen Borissov , Roberto De Pietri , Carlo Rovelli

The scalar strange-quark matrix element of the nucleon is computed with lattice QCD. A mixed-action scheme is used with domain-wall valence fermions computed on the staggered MILC sea-quark configurations. The matrix element is determined…

High Energy Physics - Lattice · Physics 2013-06-26 Parikshit Junnarkar , Andre Walker-Loud

The Feynman-Hellmann theorem can be derived from the long Euclidean-time limit of correlation functions determined with functional derivatives of the partition function. Using this insight, we fully develop an improved method for computing…

High Energy Physics - Lattice · Physics 2017-07-19 Chris Bouchard , Chia Cheng Chang , Thorsten Kurth , Kostas Orginos , Andre Walker-Loud

The nuclear matrix elements for the momentum quadrupole operator are important for the interpretation of precision atomic physics experiments that search for violations of local Lorentz and CPT symmetry and for new spin-dependent forces. We…

Nuclear Theory · Physics 2017-11-15 B. A. Brown , G. F. Bertsch , L. M. Robledo , M. V. Romalis , V. Zelevinsky

We discuss the general method of the calculation of the nucleon matrix elements of an operator associated with nonvalence quarks. The method is based on the QCD sum rules and low energy theorems. As an application of these considerations,…

High Energy Physics - Phenomenology · Physics 2011-04-15 Ariel R. Zhitnitsky

By introducing an additional operator into the action and using the Feynman-Hellmann theorem we describe a method to determine both the quark line connected and disconnected terms of matrix elements. As an illustration of the method we…

High Energy Physics - Lattice · Physics 2015-06-05 R. Horsley , R. Millo , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , F. Winter , J. M. Zanotti

We perform a combined analysis of the unitarity triangle and of the CP violating parameter epsilon'/epsilon using the most recent determination of the relevant experimental data and, whenever possible, hadronic matrix elements from lattice…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Ciuchini , E. Franco , L. Giusti , V. Lubicz , G. Martinelli

We present a model-independent calculation of hadron matrix elements for all dimension-six operators associated with baryon number violating processes using lattice QCD. The calculation is performed with the Wilson quark action in the…

We present a quenched lattice QCD calculation of the \alpha and \beta parameters of the proton decay matrix element. The simulation is carried out using the Wilson quark action at three values of the lattice spacing in the range a\approx…

By expanding functions of parton fragmentation into a heavy hadron in the inverse of the heavy quark mass $m_Q$ we attempt to factorize them into perturbative- and nonperturbative parts. In our approach the nonperturbative parts can be…

High Energy Physics - Phenomenology · Physics 2011-01-25 J. P. Ma

Matrix elements of six-quark operators are needed to extract new physics constraints from experimental searches for neutron-antineutron oscillations. This work presents in detail the first lattice quantum chromodynamics calculations of the…

High Energy Physics - Lattice · Physics 2019-05-20 Enrico Rinaldi , Sergey Syritsyn , Michael L. Wagman , Michael I. Buchoff , Chris Schroeder , Joseph Wasem

The Matrix Element Method is a promising multi-variate analysis tool which offers an optimal approach to compare theory and experiment according to the Neyman-Pearson lemma. However, until recently its usage has been limited by the fact…

High Energy Physics - Phenomenology · Physics 2020-10-01 Till Martini , Manfred Kraus , Sascha Peitzsch , Peter Uwer

We calculate the long-distance matrix elements for the decays of the lowest-lying S- and P-wave states of charmonium and bottomonium in quenched lattice QCD, using a nonrelativistic formulation for the heavy quarks. (The short-distance…

High Energy Physics - Lattice · Physics 2008-11-26 G. T. Bodwin , D. K. Sinclair , S. Kim

We calculate the form factors for the baryon number violation processes of a heavy-flavor baryon decaying into a pseudoscalar meson and a lepton. In the framework of the Standard Model effective field theory, the leptoquark operators at the…

High Energy Physics - Phenomenology · Physics 2024-05-21 Lei-Yi Li , Cai-Dian Lü , Jin Wang , Yan-Bing Wei

The coupling constants of the order $p^2$ low-energy weak effective lagrangian can be determined from the $K\to\pi$ and $K\to 0$ weak matrix elements, choosing degenerate quark masses for the first of these. However, for typical values of…

High Energy Physics - Lattice · Physics 2009-10-31 Maarten Golterman , Elisabetta Pallante

Computing the gluon component of momentum in the nucleon is a difficult and computationally expensive problem, as the matrix element involves a quark-line-disconnected gluon operator which suffers from ultra-violet fluctuations. But also…

High Energy Physics - Lattice · Physics 2020-01-22 R. Horsley , T. Howson , W. Kamleh , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti
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