In the investigation, the scenarios of vector and scalar NP interactions are studied, respectively; their effects on the branching fraction, differential branching fraction, lepton spin asymmetry, forward-backward asymmetry, and ratio [R.sup.*.sub.P] (P = D, [pi], K) of semileptonic [B.sup.*] decays are explored by using the spaces of various NP couplings obtained through the measured [mathematical expression not reproducible].

The total decay widths (or lifetimes) of [B.sup.*] mesons are essential for estimating the branching fraction; however there is no available experimental data until now.

Our focus is to compare the NP contribution to the branching fraction of decay processes (under consideration) with the SM prediction and also with the experimental limits.

Since this work focuses on [[??].sub.p] MSSM, we will shift our focus to z (for the calculation of limits on couplings) and Yukawa couplings [mathematical expression not reproducible] (for the predictions of branching fraction).

where PS([square root of s]) = p/[square root of s] is the 2-body phase space factor, where p is the [eta] or J/[psi] momentum in the [e.sup.+][e.sup.-] center-of-mass frame, [[phi].sub.1] and [[phi].sub.2] are relative phases, and BW([square root of s]) = [square root of (12[pi][[GAMMA].sub.ee]B([eta]J/[psi])[GAMMA])]/(s - [M.sup.2] + iM[GAMMA]) is the BW function for a vector state, with mass M, total width [GAMMA], electron partial width [[GAMMA].sub.ee], and the branching fraction to [eta]J/[psi], B([eta]J/[psi]).

If we take the theoretical range [GAMMA]([psi](4S) [right arrow] [e.sup.+][e.sup.-]) = 0.63~0.66 keV [18] and take fit results for [Y.sub.2] from Table 1, we can obtain the branching fraction B([psi](4S) [right arrow] [eta]J/[psi]) = (5.5 [+ or -] 1.7) x [10.sup.-3]~(10.6 [+ or -] 2.2) x [10.sup.-3].

The differential branching fraction of [[LAMBDA].sup.0.sub.b] [right arrow] decay channel has also been measured as dBr([[LAMBDA].sup.0.sub.b] [right arrow] [LAMBDA][[mu].sup.+][ [mu].sup.-])/d[q.sup.2] = ([1.18.sup.+0.08.sub.-0.08] [+ or -] 0.03 [+ or -] 0.27) x [10.sup.-7] Ge[V.sup.2]/[c.sup.4] at 15 Ge[V.sup.2]/[c.sup.4] [less than or equal to] [q.sup.2] [less than or equal to] 20 Ge[V.sup.2]/[c.sup.4] region by the LHCb Collaboration [2].

(ii) the SM band for the differential branching fraction in [[LAMBDA].sub.b] [right arrow] [LAMBDA] [[mu].sup.+] [[mu].sup.-] channel roughly coincides with all the lattice predictions borrowed from [31].

Varying the resolution in jet and lepton energy measurement by 10% and 5% (2) leads to changing the upper limit on the

branching fraction by less than 1%.

Their inflaton

branching fraction predictions are shown in Figure 1(a).

From [12],

branching fractions of graviton decay to SM particles are taken, presented in Figure 8.

Berkelman (CLEO Collaboration) et al., "

Branching fractions for [psi](2S)-to-J/[psi] transitions," Physical Review Letters, vol.