Pith. sign in

REVIEW 1 cited by

Universal Approximations for Flavor Models

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 1903.11077 v1 pith:36QJMYRF submitted 2019-03-26 hep-ph

Gero von Gersdorff This is my paper · ORCID
classification hep-ph
keywords approximationsingularanalyticalarbitraryerrorsflavorratiosvalues
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We develop a systematic analytical approximation scheme for the singular value decompositions of arbitrary complex three dimensional matrices Y with non-degenerate singular values. We derive exact expressions for the errors of this approximation and show that they are bounded from above by very simple ratios of the form (yi/yj)2n where yi < yj are singular values of Y and n is the order of the approximation. The applications we have in mind are the analytical and numerical treatments of arbitrary theories of flavor. We also compute upper bounds for the errors of the Cabbibo Kobayashi Maskawa (CKM) matrix that only depend on the ratios of the masses and the physical CKM angles.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

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

  1. Inequalities for Standard Model Yukawa Couplings

    hep-ph 2025-06 conditional novelty 6.0 of 10

    The paper proves rigorous, basis-independent inequalities on combinations of Standard Model Yukawa matrix entries that follow from the observed hierarchical fermion masses and CKM angles.

Pith tools