Bounds on the unitarity triangle, $\sin$ 2 $\beta$ and $K \to$ $\pi \nu \overline \nu$ decays in models with minimal flavor violation
| Popis: | We present a general discussion of the unitarity triangle from $\epsilon_K$, $\Delta M_{d,s}$ and $K \to \pi\nu\overline{\nu}$ in models with minimal flavour violation (MFV), allowing for arbitrary signs of the generalized Inami--Lim functions $F_{tt}$ and $X$ relevant for $(\epsilon_K,\Delta M_{d,s})$ and $K \to \pi\nu\overline{\nu}$, respectively. In the models in which $F_{tt}$ has a sign opposite to the one in the Standard Model, i.e. $F_{tt}0$. An important finding of this paper is the observation that for given $Br(K^+\to\pi^+\nu\overline{\nu})$ and $a_{\psi K_S}$ only two values for $Br(K_{L}\to\pi^0\nu\overline{\nu})$, corresponding to the two signs of $X$, are possible in the full class of MFV models, independently of any new parameters arising in these models. This provides a powerful test for this class of models. Moreover, we derive absolute lower and upper bounds on $Br(K_{L}\to\pi^0\nu\overline{\nu})$ as functions of $Br(K^+\to\pi^+\nu\overline{\nu})$. Using the present experimental upper bounds on $Br(K^+\to\pi^+\nu\overline{\nu})$ and $|V_{ub}/V_{cb}|$, we obtain the absolute upper bound $Br(K_{L}\to\pi^0\nu\overline{\nu})< 7.1 \cdot 10^{-10}$ (90% C.L.). |
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| Jazyk: | English |
| DOI: | 10.1103/PhysRevD.64.115010 |
| Přístupová URL adresa: | https://explore.openaire.eu/search/publication?articleId=od______1108::d2b936bf6369c3b2c018c21909ed4ab6 https://bib-pubdb1.desy.de/record/321010 |
| Rights: | OPEN |
| Přírůstkové číslo: | edsair.od......1108..d2b936bf6369c3b2c018c21909ed4ab6 |
| Autor: | Buras, Andrzej J., Fleischer, Robert |
| Jazyk: | angličtina |
| Rok vydání: | 2001 |
| Předmět: |
hadronic decay [B]
B --> psi(3685) K0(L) K0(L) --> pi0 neutrino antineutrino branching ratio [K] CKM matrix matrix lower limit violation [flavor] bibliography violation [CP] B --> strangeness neutrino antineutrino anything semileptonic decay [K] interpretation of experiments [numerical calculations] K+ --> pi+ neutrino antineutrino unitarity ddc:530 width [B] semileptonic decay [B] upper limit |
| Zdroj: | Physical review / D 64(11), 115010 (2001). doi:10.1103/PhysRevD.64.115010 |
| DOI: | 10.1103/PhysRevD.64.115010 |
| Popis: | We present a general discussion of the unitarity triangle from $\epsilon_K$, $\Delta M_{d,s}$ and $K \to \pi\nu\overline{\nu}$ in models with minimal flavour violation (MFV), allowing for arbitrary signs of the generalized Inami--Lim functions $F_{tt}$ and $X$ relevant for $(\epsilon_K,\Delta M_{d,s})$ and $K \to \pi\nu\overline{\nu}$, respectively. In the models in which $F_{tt}$ has a sign opposite to the one in the Standard Model, i.e. $F_{tt}0$. An important finding of this paper is the observation that for given $Br(K^+\to\pi^+\nu\overline{\nu})$ and $a_{\psi K_S}$ only two values for $Br(K_{L}\to\pi^0\nu\overline{\nu})$, corresponding to the two signs of $X$, are possible in the full class of MFV models, independently of any new parameters arising in these models. This provides a powerful test for this class of models. Moreover, we derive absolute lower and upper bounds on $Br(K_{L}\to\pi^0\nu\overline{\nu})$ as functions of $Br(K^+\to\pi^+\nu\overline{\nu})$. Using the present experimental upper bounds on $Br(K^+\to\pi^+\nu\overline{\nu})$ and $|V_{ub}/V_{cb}|$, we obtain the absolute upper bound $Br(K_{L}\to\pi^0\nu\overline{\nu})< 7.1 \cdot 10^{-10}$ (90% C.L.). |
| Databáze: | OpenAIRE |
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