The CKM unitarity problem: a trace of new physics at the TeV scale?

The European Physical Journal C - Tập 80 - Trang 1-12 - 2020
Benedetta Belfatto1,2,3, Revaz Beradze2,4, Zurab Berezhiani2,5
1Gran Sasso Science Institute, L’Aquila, Italy
2Dipartimento di Fisica e Chimica, Università di L’Aquila, L’Aquila, Italy
3INFN-Laboratori Nazionali del Gran Sasso, L’Aquila, Italy
4Ivane Javakhishvili Tbilisi State University, Tbilisi, Georgia
5INFN, Laboratori Nazionali del Gran Sasso, L’Aquila, Italy

Tóm tắt

After the recent high precision determinations of $$V_{us}$$ and $$V_{ud}$$, the first row of the CKM matrix shows more than $$4\sigma $$ deviation from unitarity. Two possible scenarios beyond the Standard Model can be investigated in order to fill the gap. If a 4th non-sequential quark $$b'$$ (a vector-like weak isosinglet) participates in the mixing, with $$\vert V_{ub'} \vert \sim 0.04$$, then its mass should be no more than 6 TeV or so. A different solution can come from the introduction of the gauge horizontal family symmetry $$SU(3)_\ell $$ acting between the lepton families and spontaneously broken at the scale of about 6 TeV. Since the gauge bosons of this symmetry contribute to muon decay in interference with Standard Model, the Fermi constant is slightly smaller than the muon decay constant so that unitarity is recovered. Also the neutron lifetime problem, that is about $$4\sigma $$ discrepancy between the neutron lifetimes measured in beam and trap experiments, is discussed in the light of the these determinations of the CKM matrix elements.

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