Pith. sign in

REVIEW 3 cited by

On the computation of hadron-to-hadron transition matrix elements in lattice QCD

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1108.3774 v1 pith:XUPWGQX3 submitted 2011-08-18 hep-lat

John Bulava , Michael Donnellan , Rainer Sommer This is my paper · ORCID
classification hep-lat
keywords elementsmatrixstatecomputationestimatorsgevpmodelratio
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We discuss the accurate determination of matrix elements < f| h_w | i > where neither |i> nor |f> is the vacuum state and h_w is some operator. Using solutions of the Generalized Eigenvalue Problem (GEVP) we construct estimators for matrix elements which converge rapidly as a function of the Euclidean time separations involved. |i> and |f> may be either the ground state in a given hadron channel or an excited state. Apart from a model calculation, the estimators are demonstrated to work well for the computation of the B*B pi-coupling in the quenched approximation. They are also compared to a standard ratio as well as to the "summed ratio method" of [1,2,3]. In the model, we also illustrate the ordinary use of the GEVP for energy levels.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. First constraints on the nonperturbative gluon Collins-Soper kernel

    hep-lat 2026-07 conditional novelty 7.0 of 10

    First lattice-QCD constraints on the nonperturbative gluon Collins-Soper kernel are obtained at near-physical pion mass with uNNLL LaMET matching on a single a=0.15 fm ensemble.

  2. Nucleon sigma terms with a variational analysis from Lattice QCD

    hep-lat 2024-12 conditional novelty 6.0 of 10

    A variational basis with nucleon-sigma interpolators reduces excited state contamination in direct lattice QCD determinations of nucleon sigma terms, demonstrated on one Nf=3 ensemble at M_pi=429 MeV.

  3. Inverse problem in the LaMET framework

    hep-lat 2025-04 unverdicted novelty 5.0 of 10

    Analysis of non-perturbative lattice data shows that the inverse problem in LaMET introduces significant uncertainties in parton distributions, especially from harmonics around λ=5-15, and that exact asymptotic decay ...

Pith tools