scholarly journals Nucleon decay matrix elements from lattice QCD

2000 ◽  
Vol 62 (1) ◽  
Author(s):  
S. Aoki ◽  
M. Fukugita ◽  
S. Hashimoto ◽  
K-I. Ishikawa ◽  
N. Ishizuka ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Matrix Elements ◽  
Nucleon Decay

scholarly journals PERTURBATIVE RENORMALIZATION FACTORS OF BARYON NUMBER VIOLATING OPERATORS FOR IMPROVED QUARK AND GAUGE ACTIONS IN LATTICE QCD

2000 ◽  
Vol 15 (22) ◽  
pp. 3521-3533
Author(s):  
SINYA AOKI ◽  
YOSHINOBU KURAMASHI ◽  
TETSUYA ONOGI ◽  
NAOTO TSUTSUI
Keyword(s):  
Lattice Qcd ◽  
Baryon Number ◽  
Matrix Elements ◽  
Group Approach ◽  
Nucleon Decay ◽  
Effective Lagrangian ◽  
Renormalization Group Approach ◽  
Perturbative Renormalization ◽  
The One ◽  
The Continuum

We calculate one-loop renormalization factors of three-quark operators, which appear in the low energy effective Lagrangian of the nucleon decay, for O(a)-improved quark action and gauge action including six-link loops. This calculation is required to predict the hadronic nucleon decay matrix elements in the continuum regularization scheme using lattice QCD. We present detailed numerical results of the one-loop coefficients for general values of the clover coefficients employing the several improved gauge actions in the Symanzik approach and in Wilson's renormalization group approach. The magnitudes of the one-loop coefficients for the improved gauge actions show sizable reduction compared to those for the plaquette action.

scholarly journals Double parton distributions in the pion from lattice QCD

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Gunnar S. Bali ◽  
Luca Castagnini ◽  
Markus Diehl ◽  
Jonathan R. Gaunt ◽  
Benjamin Gläßle ◽  
...  
Keyword(s):  
Spatial Distribution ◽  
Lattice Qcd ◽  
Quark Mass ◽  
Matrix Elements ◽  
Parton Distributions ◽  
Almost All ◽  
The Relationship

Abstract We perform a lattice study of double parton distributions in the pion, using the relationship between their Mellin moments and pion matrix elements of two local currents. A good statistical signal is obtained for almost all relevant Wick contractions. We investigate correlations in the spatial distribution of two partons in the pion, as well as correlations involving the parton polarisation. The patterns we observe depend significantly on the quark mass. We investigate the assumption that double parton distributions approximately factorise into a convolution of single parton distributions.

scholarly journals Light-cone sum rules for proton decay

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Ulrich Haisch ◽  
Amando Hala
Keyword(s):  
Lattice Qcd ◽  
Light Cone ◽  
Sum Rules ◽  
State Of The Art ◽  
Form Factors ◽  
Baryon Number ◽  
Proton Decay ◽  
Matrix Elements ◽  
Decay Channels ◽  
Systematic Uncertainties

Abstract We estimate the form factors that parametrise the hadronic matrix elements of proton-to-pion transitions with the help of light-cone sum rules. These form factors are relevant for semi-leptonic proton decay channels induced by baryon-number violating dimension-six operators, as typically studied in the context of grand unified theories. We calculate the form factors in a kinematical regime where the momentum transfer from the proton to the pion is space-like and extrapolate our final results to the regime that is relevant for proton decay. In this way, we obtain estimates for the form factors that show agreement with the state-of-the-art calculations in lattice QCD, if systematic uncertainties are taken into account. Our work is a first step towards calculating more involved proton decay channels where lattice QCD results are not available at present.

scholarly journals Electroweak matrix elements in the two-nucleon sector from lattice QCD

2004 ◽  
Vol 743 (1-3) ◽  
pp. 170-193 ◽  
Author(s):  
William Detmold ◽  
Martin J. Savage
Keyword(s):  
Lattice Qcd ◽  
Matrix Elements

scholarly journals Neutron Electric Dipole Moment on the Lattice

2018 ◽  
Vol 175 ◽  
pp. 01014 ◽  
Author(s):  
Boram Yoon ◽  
Tanmoy Bhattacharya ◽  
Rajan Gupta
Keyword(s):  
Dipole Moment ◽  
Cp Violation ◽  
Lattice Qcd ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
Beyond The Standard Model ◽  
Matrix Elements ◽  
The Standard Model ◽  
The Status ◽  
Good Probe

For the neutron to have an electric dipole moment (EDM), the theory of nature must have T, or equivalently CP, violation. Neutron EDM is a very good probe of novel CP violation in beyond the standard model physics. To leverage the connection between measured neutron EDM and novel mechanism of CP violation, one requires the calculation of matrix elements for CP violating operators, for which lattice QCD provides a first principle method. In this paper, we review the status of recent lattice QCD calculations of the contributions of the QCD Θ-term, the quark EDM term, and the quark chromo-EDM term to the neutron EDM.

scholarly journals QCD Factorization and PDFs from Lattice QCD Calculation

2015 ◽  
Vol 37 ◽  
pp. 1560041 ◽  
Author(s):  
Yan-Qing Ma ◽  
Jian-Wei Qiu
Keyword(s):  
Euclidean Space ◽  
Minkowski Space ◽  
Lattice Qcd ◽  
Correlation Functions ◽  
Parton Distribution ◽  
Distribution Functions ◽  
Matrix Elements ◽  
Parton Distribution Functions ◽  
Qcd Factorization ◽  
The Matrix

In this talk, we review a QCD factorization based approach to extract parton distribution and correlation functions from lattice QCD calculation of single hadron matrix elements of quark-gluon operators. We argue that although the lattice QCD calculations are done in the Euclidean space, the nonperturbative collinear behavior of the matrix elements are the same as that in the Minkowski space, and could be systematically factorized into parton distribution functions with infrared safe matching coefficients. The matching coefficients can be calculated perturbatively by applying the factorization formalism on to asymptotic partonic states.

scholarly journals Nucleon matrix elements from lattice QCD with all-mode-averaging and a domain-decomposed solver: An exploratory study

2017 ◽  
Vol 914 ◽  
pp. 138-159 ◽  
Author(s):  
Georg von Hippel ◽  
Thomas D. Rae ◽  
Eigo Shintani ◽  
Hartmut Wittig
Keyword(s):  
Lattice Qcd ◽  
Exploratory Study ◽  
Matrix Elements

The improvement of hadronic matrix elements in lattice QCD

1991 ◽  
Vol 352 (1) ◽  
pp. 266-288 ◽  
Author(s):  
G. Heatlie ◽  
C.T. Sachrajda ◽  
G. Martinelli ◽  
C. Pittori ◽  
G.C. Rossi
Keyword(s):  
Lattice Qcd ◽  
Matrix Elements
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