arXiv subjects

Petr Baron

Publications and source records attributed to Petr Baron.

8 recordsLinked to original sources

arXiv2026

A Compact Phenomenological Pattern in Fermion Mass Ratios and Mixing Parameters

We record a compact numerical regularity in charged-fermion mass ratios and fermion mixing parameters. The construction uses discrete generation labels G=1,2,3, fixed structural integers Nc=3 and Nw=2, sector exponent functions LA(G), and simple phase assignments. No continuous numerical optimization is performed: after one overall mass scale is chosen in each charged sector, the charged-fermion mass ratios and the leading mixing inputs follow directly from the stated formulae. The same exponent structure generates six charged-fermion mass ratios, six mixing sines, and the CKM phase as correlated numerical outputs. The full CKM and PMNS matrices are then obtained by standard unitary reconstruction. The construction is phenomenological and does not claim a first-principles derivation of the numerical constants.

hep-ph↗

arXiv2026

Hidden Harmonic Structure of Fermion Masses and Flavor

We investigate a harmonic interpretation of the hidden flavor coordinates (Q,G,C) introduced previously in a low-rank ternary description of the fermion mass spectrum. In this picture, the generation coordinate is associated with the odd harmonic sequence (1,3,5), allowing the fermion mass formula to be expressed in a compact harmonic form. The logarithmic mass spectrum then acquires an additive structure in which the hidden coordinates contribute directly to the observed hierarchy of fermion masses. We further argue that the scalar quantity (L=QG+C), which successfully organizes the fermion spectrum, does not uniquely identify a fermion state. This observation motivates the introduction of the full hidden-coordinate vector X=(Q,G,C) and a geometric interpretation of flavor in terms of distances, relative orientations, and antisymmetric invariants defined within the hidden-coordinate space. The harmonic framework also suggests a possible extension beyond the fermion sector. Combining the fermionic harmonic modes naturally generates the even sequence (2,4,6,8,10), which exhibits a suggestive correspondence with the electroweak and Higgs scales. While this correspondence remains speculative, it points toward a common harmonic structure underlying both fermionic and bosonic states. Although the framework is exploratory, it indicates that fermion masses, flavor organization, and bosonic excitations may represent different manifestations of a deeper hidden harmonic structure.

hep-ph↗

arXiv2026

Hidden Flavor Geometry and Yukawa Structure from Hidden Coordinates

We investigate a harmonic interpretation of the hidden flavor coordinates (Q,G,C) previously introduced in a low-rank ternary description of the fermion mass spectrum. The generation coordinate is associated with the odd harmonic mode sequence n_G = (1,3,5), allowing the fermion mass ansatz to be rewritten in a compact harmonic form. The corresponding logarithmic spectrum reveals an additive structure in which the hidden coordinates contribute directly to the observed mass hierarchy. We argue that the projected quantity L = QG + C, which organizes the fermion masses, does not uniquely characterize a fermion state. This motivates the introduction of the full hidden-coordinate vector X = (Q,G,C) and a geometric interpretation of flavor based on coordinate separations and antisymmetric invariants defined within the hidden-coordinate space. The harmonic framework further suggests a possible extension beyond the fermion sector. Combining the fermionic harmonic modes generates the bosonic sequence n_B = (2,4,6,8,10), which exhibits a suggestive correspondence with the electroweak and Higgs scales. Although the resulting framework remains exploratory, it suggests that fermion masses, flavor structure, and bosonic states may reflect different aspects of a common hidden harmonic organization.

hep-ph↗

arXiv2026

A Low-Rank Ternary Structure of Fermion Masses and Hidden Flavor Coordinates

We investigate an empirical low-rank structure underlying the fermion mass spectrum. The construction is based on an integer exponent matrix L=QG+Be, where Q labels shell type, G labels generation, and Be introduces a correction affecting only the first generation. The resulting matrix reproduces the observed hierarchy of fermion masses using a small number of integer parameters. The construction naturally introduces hidden coordinates X=(Q,G,C) associated with each fermion species. We show that fermion masses depend primarily on the projected quantity L, while flavor information appears to require the full hidden-state coordinates. Possible implications for the observed structure of the CKM and PMNS mixing matrices are briefly discussed.

hep-ph↗

arXiv2025

Unfolding the Energy Spectrum of Ultra-High-Energy Cosmic Rays Using Pierre Auger Open Data

We reconstruct the energy spectrum of ultra-high-energy cosmic rays using the publicly released Pierre Auger Observatory data set. Since event-level Monte Carlo truth information is not included in the open data, we develop a consistent procedure to regenerate a pseudo-Monte Carlo sample directly from the published quantities: the registered event counts $N$, the unfolded spectrum $N_\mathrm{corr}$, and the detector response matrix $R_{ij}$ from the Auger 2020 spectrum data analysis. Using the row-normalized response matrix and the published unfolded spectrum as a truth prior, we construct an absolute-level migration matrix and generate the event-by-event truth and reconstructed-level pairs by drawing from a two-dimensional probability distribution function. The resulting sample statistically replicates the detector response properties of the Pierre Auger Surface Detector. This pseudo-MC sample allows for the application of classical unfolding techniques (bin-by-bin and iterative Bayesian unfolding via RooUnfold) as well as a machine-learning-based unfolding using OmniFold. We demonstrate that using such publicly available information this approach allows the full unfolding procedure.

astro-ph.HE↗

arXiv2023

Observation of top-quark pair production in proton-lead collisions in ATLAS

Top-quarks and Higgs boson are the only elementary particles that have not been observed in heavy-ion collisions in the ATLAS detector yet. In particular top quarks, the heaviest elementary particles carrying colour charges, have been argued to be attractive candidates for probing the quark-gluon plasma produced in heavy-ion collisions. In proton-lead collisions, top-quark production is expected to be sensitive to nuclear modifications of parton distribution functions (PDF) at high Bjoerken-x values which are hard to access experimentally using other probes available so far. In 2016 the ATLAS experiment collected proton-lead collisions at centre-of-mass energy of 8.16 TeV per nucleon pair. The data sample corresponds to an integrated luminosity of 164 nb-1, which allows for the first time in this data set with ATLAS, to measure top-quark pair production. In this work, we discuss the inclusive cross section measurement for the top-quark pairs production in dilepton and lepton+jets decay modes with electrons and muons recorded by the ATLAS experiment. The measurement is compared to the NNLO predictions for top-quark production using various PDF sets.

hep-ex↗

arXiv2021

Comparison of Machine Learning Approach to other Unfolding Methods

Unfolding in high energy physics represents the correction of measured spectra in data for the finite detector efficiency, acceptance, and resolution from the detector to particle level. Recent machine learning approaches provide unfolding on an event-by-event basis allowing to simultaneously unfold a large number of variables and thus to cover a wider region of the features that affect detector response. This study focuses on a simple comparison of commonly used methods in RooUnfold package to the machine learning package Omnifold.

hep-ex↗

arXiv2020

Fully Bayesian Unfolding with Regularization

Fully Bayesian Unfolding differs from other unfolding methods by providing the full posterior probability of unfolded spectra for each bin. We extended the method for the feature of regularization which could be helpful for unfolding non-smooth, over-binned or generally non-standard shaped spectra. To decrease the computation time, the iteration process is presented.

physics.data-an↗