BEGIN:VCALENDAR VERSION:2.0 PRODID:-//linuxsoftware.nz//NONSGML Joyous v1.4//EN BEGIN:VEVENT SUMMARY:Pentaquark spectroscopy for the LHC DTSTART:20260917T093000Z DTEND:20260917T110000Z DTSTAMP:20260911T011233Z UID:eba134ea-e862-45ab-b5cb-99a7bb1df235 SEQUENCE:2 CREATED:20260910T090156Z DESCRIPTION:This thesis investigates the properties of exotic hadrons\, sp ecifically their mass spectra and internal structure\, within the light an d charmonium energy sectors. We focus on baryon resonances theorized to be pentaquark states composed of three light quarks and a heavy quark-antiqu ark pair. As a novel contribution to the literature\, we employ the functi onal framework of Dyson-Schwinger and Bethe-Salpeter equations (DSEs and B SEs) and use a fully realized five-quark formulation. Our methodology buil ds upon solutions of quark DSEs for different flavors and mass spectra der ived from two-body meson and diquark BSEs\, supplemented by empirical bary on masses from the Particle Data Group. These elements inform the central object of our study: the five-quark BSE. We apply a physically motivated A nsatz and model heavy-light pentaquarks through a comprehensive treatment of internal meson-baryon configurations\, diquark-diquark-antiquark groupi ngs\, and the interplay of attractive and repulsive interactions. Most imp ortantly\, we evaluate these systems across multiplet quantum numbers and solve for states with spin J = 1 2 \, 3 2 \, 5 2 for both positive and neg ative parities. This analysis spans both the (nnncc) and (nnscc) sectors\, as well as the lightest pure light-antiquark pentaquark states (nnnnn)\, where n denotes an up or a down quark. To isolate the contributions of att ractive and repulsive forces\, we quantify the structural importance of ea ch internal configuration. We find that incorporating repulsive interactio ns improves the alignment of our theoretical mass spectra with experimenta l observations for heavy-antiquark pentaquarks (Pc and Pcs). Ultimately\, our structural analysis reveals that the heavy-antiquark pentaquarks obser ved at LHCb are dominated by their respective lightest heavy-light meson a nd baryon configurations. Beyond the hadronic spectrum\, we apply this sam e theoretical framework to investigate QCD contributions to flavor-changin g neutral currents (FCNCs). Within this context\, we calculate the corresp onding quark-photon vertex incorporating W-boson exchanges alongside the Z -boson vertex. Through the calculation of transition form factors\, we sys tematically search for signatures of lepton universality violation across different branching ratios. Specifically\, we target B+ → K+l +l − dec ays. LAST-MODIFIED:20260910T090557Z LOCATION:Anfiteatro PA-3 (Piso -1 do Pavilhão de Matemática) do IST URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/pentaquark-spectroscopy-fo r-the-lhc/ X-ALT-DESC;FMTTYPE=text/html:

This thesis investi gates the properties of exotic hadrons\, specifically their mass spectra a nd internal structure\, within the light and charmonium energy sectors. We focus on baryon resonances theorized to be pentaquark states composed of three light quarks and a heavy quark-antiquark pair. As a novel contributi on to the literature\, we employ the functional framework of Dyson-Schwing er and Bethe-Salpeter equations (DSEs and BSEs) and use a fully realized f ive-quark formulation. Our methodology builds upon solutions of quark DSEs for different flavors and mass spectra derived from two-body meson and di quark BSEs\, supplemented by empirical baryon masses from the Particle Dat a Group.

These elements inform the central object of our study: the five-quark BSE. We apply a physically motivated Ansatz and model heavy -light pentaquarks through a comprehensive treatment of internal meson-bar yon configurations\, diquark-diquark-antiquark groupings\, and the interpl ay of attractive and repulsive interactions. Most importantly\, we evaluat e these systems across multiplet quantum numbers and solve for states with spin J = 1 2 \, 3 2 \, 5 2 for both positive and negative parities.
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This analysis spans both the (nnncc) and (nnscc) sectors\, as we ll as the lightest pure light-antiquark pentaquark states (nnnnn)\, where n denotes an up or a down quark. To isolate the contributions of attractiv e and repulsive forces\, we quantify the structural importance of each int ernal configuration. We find that incorporating repulsive interactions imp roves the alignment of our theoretical mass spectra with experimental obse rvations for heavy-antiquark pentaquarks (Pc and Pcs). Ultimately\, our st ructural analysis reveals that the heavy-antiquark pentaquarks observed at LHCb are dominated by their respective lightest heavy-light meson and bar yon configurations.

Beyond the hadronic spectrum\, we apply this same theoretical framework to investigate QCD contributions to flavor-cha nging neutral currents (FCNCs). Within this context\, we calculate the cor responding quark-photon vertex incorporating W-boson exchanges alongside t he Z-boson vertex. Through the calculation of transition form factors\, we systematically search for signatures of lepton universality violation acr oss different branching ratios. Specifically\, we target B+ → K+l +l − decays.

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