RT Journal Article T1 Precision dispersive approaches versus unitarized chiral perturbation theory for the lightest scalar resonances sigma/f(0)(500) and kappa/K*(0)(700) A1 Peláez Sagredo, José Ramón A1 Rodas, Arkaitz A1 Ruiz De Elvira Carrascal, Jacobo AB For several decades, the sigma/f(0)(500) and kappa/K*(0)(700) resonances have been subject to long-standing debate. Both their existence and properties were controversial until very recently. In this tutorial review, we compare model-independent dispersive and analytic techniques versus unitarized Chiral Perturbation Theory, when applied to the lightest scalar mesons sigma/f(0)(500) and kappa/K*(0)(700). Generically, the former have settled the long-standing controversy about the existence of these states, providing a precise determination of their parameters, whereas unitarization of chiral effective theories allows us to understand their nature, spectroscopic classification and dependence on QCD parameters. Here we review in a pedagogical way their uses, advantages and caveats. PB Springer Heidelberg SN 1951-6355 YR 2021 FD 2021-06-16 LK https://hdl.handle.net/20.500.14352/8270 UL https://hdl.handle.net/20.500.14352/8270 LA eng NO © 2021 Springer Heidelberg.We acknowledge J.A. Oller for encouraging us to write a tutorial review on this topic. We thank I. Danilkin for his corrections on the manuscript. This project has received funding from the Spanish Ministerio de Ciencia e Innovacion grant PID2019-106080GB-C21 and the European Union's Horizon 2020 research and innovation program under grant agreement No 824093 (STRONG2020). AR acknowledges the financial support of the U.S. Department of Energy contract DE-SC0018416 at William & Mary, and contract DE-AC05-06OR23177, under which Jefferson Science Associates, LLC, manages and operates Jefferson Lab. JRE acknowledges financial support from the Swiss National Science Foundation under Project No. PZ00P2174228. NO Unión Europea. H2020 NO Ministerio de Ciencia e Innovación (MICINN) NO Swiss National Science Foundation (SNSF) NO United States Department of Energy (DOE) DS Docta Complutense RD 8 abr 2025