20.500.12556/RUL-154952 $S$-wave contribution to rare $D^0 \to \pi^+ \pi^- \ell^+ \ell^-$ decays in the standard model and sensitivity to new physics Physics of the up-type flavor offers unique possibilities of testing the standard model (SM) compared to the down-type flavor sector. Here, we discuss SM and new physics (NP) contributions to the rare charm-meson decay $D^0 \to \pi^+ \pi^- \ell^+ \ell^-$. In particular, we discuss the effect of including the lightest scalar isoscalar resonance in the SM picture, namely, the $f_0$(500), which manifests in a big portion of the allowed phase space. Other than showing in the total branching ratio at an observable level of about 20%, the $f_0$(500) resonance manifests as interference terms with the vector resonances, such as at high invariant mass of the leptonic pair in distinct angular observables. Recent data from LHCb optimize the sensitivity to P-wave contributions that we analyze in view of the inclusion of vector resonances. We propose the measurement of alternative observables that are sensitive to the S-wave and are straightforward to implement experimentally. This leads to a new set of null observables that vanish in the SM due to its gauge and flavor structures. Finally, we study observables that depend on the SM interference with generic NP contributions from semileptonic four-fermion operators in the presence of the S-wave. physics of elementary particles particle decays fizika osnovnih delcev razpadi delcev true false true Angleški jezik Slovenski jezik Članek v reviji 2024-03-11 16:45:52 2024-03-11 16:45:54 2024-04-02 11:06:49 0000-00-00 00:00:00 2024 0 0 Str. 036027-1-036027-24 iss. 3 Vol. 109 2024 0000-00-00 Zaloznikova NiDoloceno NiDoloceno 0000-00-00 0000-00-00 2024-02-26 539.1 2470-0010 10.1103/PhysRevD.109.036027 188456963 PhysRevD.109.036027.pdf PhysRevD.109.036027.pdf 1 43E2FFEFC98FA543C581165FDA130077 3fd4278d15c2a0fff3bbe0b6796691d71e32a7bbe8a0ab5ccec0e86a0d309183 14d4720f-dfbf-11ee-a66a-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=181626 https://journals.aps.org/prd/abstract/10.1103/PhysRevD.109.036027 0 1b851e36-dfbf-11ee-a66a-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=181627 Fakulteta za matematiko in fiziko 0 0 0