Tensor form factor for the D → π(K) transitions with Twisted Mass fermions.

Abstract

Abstract. We present a preliminary lattice calculation of the D → π and D → K tensor form factors f T (q 2 ) as a function of the squared 4-momentum transfer q 2 . ETMC recently computed the vector and scalar form factors f + (q 2 ) and f 0 (q 2 ) describing D → π(K) ν semileptonic decays analyzing the vector current and the scalar density. The study of the weak tensor current, which is directly related to the tensor form factor, completes the set of hadronic matrix element regulating the transition between these two pseudoscalar mesons within and beyond the Standard Model where a non-zero tensor coupling is possible. Our analysis is based on the gauge configurations produced by the European Twisted Mass Collaboration with N f = 2 + 1 + 1 flavors of dynamical quarks. We simulated at three different values of the lattice spacing and with pion masses as small as 210 MeV and with the valence heavy quark in the mass range from 0.7 m c to 1.2 m c . The matrix element of the tensor current are determined for a plethora of kinematical conditions in which parent and child mesons are either moving or at rest. As for the vector and scalar form factors, Lorentz symmetry breaking due to hypercubic effects is clearly observed in the data. We will present preliminary results on the removal of such hypercubic lattice effects.

ALP Production in Weak Mesonic Decays

“…The hadronic matrix element for pseudoscalar‐to‐pseudoscalar meson decays is mediated by a vector current customarily factorised as: $$$$\begin{eqnarray} \bra {\mathcal {P}_F}\bar{q}\gamma ^\mu Q\ket {\mathcal {P}_I}=f_+(k^2)(P_{I}+P_{F})^\mu +f_-(k^2)\,k^\mu \end{eqnarray}$$$$with $$k=P_{I}-P_{F}$$. The $$f_{+,-}(k^2)$$ form factors can be obtained from LQCD calculations, [ 55,93–102 ] and are transition specific. Using Equation (), the penguin contribution to the $$\mathcal {P}_I \rightarrow \mathcal {P}_F \,a$$ decay amplitude, assuming flavor diagonal quarks‐ALP couplings, reads: …”