The $Z \rightarrow \gamma \gamma,\;gg$ decays in the non-commutative standard model

Quarkonia decays into two photons induced by space-time noncommutativity

“…Finally, note that quarkonia and the Z-boson to two photon decay processes are related in the nmNCSM, via the Z interaction [6] of the strength 2e sin2 W K Z determined in [14]. We have found that the QQ 1 ÿÿ !…”

“…via Eq. (17) from [6] and Table 1 from [14]. On the other hand, the value of K Z ÿ0:34, for any ÿ0:03 > K > ÿ0:19 (see Table 1 in [14]), maximizes the Z !…”

“…In the SM, these are five multiplets for each generation of fermions and one Higgs multiplet. New triple neutral gauge boson interactions, usually forbidden by Lorentz invariance, angular moment conservation and the LPY theorem, arise quite naturally in the framework of nmNCSM model [6,14].…”

“…; gg decays [6,14], neutrino astrophysics [15] and neutrino physics [16], as well as low-energy nonaccelerator experiments [17][18][19]. Note that the Lorentz violating operators considered in [17,18] do not appear in the NCSM [2 -8,14 -16] considered in this article.…”

K→πγdecays and space-time noncommutativity

“…The matter sector of the action (1), relevant to this work, is not affected by the freedom of choosing traces in the gauge kinetic part; the quark-gauge boson interactions remain the same [5,6]. The above action is symmetric under ordinary gauge transformations in addition to noncommutative ones.An alternative NCSM proposal was presented in [8].Signatures of noncommutativity have been discussed within collider physics [9,10,11,12], SM forbidden decays [4,13,14,15,16], neutrino astrophysics [17,18], in [19], as well as for low-energy non-accelerator experiments [20,21,22,24]. This paper represents an estimate of the K → πγ decay branching ratio, based on the complete analysis of the S NCSM action presented in [5].…”