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New UTfit analysis of the unitarity triangle in the Cabibbo–Kobayashi–Maskawa scheme

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Flavour mixing and CP violation as measured in weak decays and mixing of neutral mesons are a fundamental tool to test the Standard Model and to search for new physics. New analyses performed at the LHC experiment open an unprecedented insight into the Cabibbo–Kobayashi–Maskawa metrology and new evidence for rare decays. Important progress has also been achieved in theoretical calculations of several hadronic quantities with a remarkable reduction of the uncertainties. This improvement is essential since previous studies of the Unitarity Triangle did show that possible contributions from new physics, if any, must be tiny and could easily be hidden by theoretical and experimental errors. Thanks to the experimental and theoretical advances, the Cabibbo–Kobayashi–Maskawa picture provides very precise Standard Model predictions through global analyses. We present here the results of the latest global Standard Model analysis performed by the UTfit collaboration including all the most updated inputs from experiments, lattice Quantum Chromo-Dynamics and phenomenological calculations.

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  1. Another exclusive determination of \(\vert V_\textrm{cb} \vert \) from \(B \rightarrow D^* \ell \nu \) decays can be found in Biswas et al. (2021), where the authors have analyzed the experimental and the most recent lattice data through a joint fit. The authors have also used this channel to obtain updated results for both the Wolfenstein parameters and the CKM elements. For the theoretical considerations explained in Martinelli et al. (2022c), we have decided to use in our analysis the value of \(\vert V_{cb} \vert \) from \(B \rightarrow D^* \ell \nu \) decays as obtained through the DM method.


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We thank A. Di Domenico, C. Kelly and C. Sachrajda for very useful discussions and C.-Y. Seng for his comments. The work of M.V. is supported by the Simons Foundation under the Simons Bridge for Postdoctoral Fellowships at SCGP and YITP, award number 815892. DD is thankful to HSE basic research program. This work was partly supported by the Italian Ministry of Research (MIUR) under grant PRIN 20172LNEEZL.V. acknowledge the hospitality of the Scuola Normale Superiore and of the INFN, Sezione di Pisa where part of this work was developed.

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Correspondence to Ludovico Vittorio.

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In honour of Nicola Cabibbo (1935–2010, Linceo since 1973), father of flavour physics. He introduced the idea of universality between the leptonic current and a single hadronic current, combination of the SU(3) currents allowing \(\Delta S = 0\) and \(\Delta S = 1\) transitions. It was, thus, Nicola Cabibbo who reconciled strange particle decays with the the universality of weak interactions paving the way to the modern electroweak unification within the Standard Model.



See Tables 10, 11.

Table 10 Extra outputs of interest obtained from our UTA analysis I
Table 11 Extra outputs of interest obtained from our UTA analysis II. \(\lambda ^q_{ij} = V_{qi} V_{qj}^*\)

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Bona, M., Ciuchini, M., Derkach, D. et al. New UTfit analysis of the unitarity triangle in the Cabibbo–Kobayashi–Maskawa scheme. Rend. Fis. Acc. Lincei 34, 37–57 (2023).

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