Inclusive productions of Υ(1S,2S,3S) and χb (1P,2P,3P) via the Higgs boson decay

In this paper, we carry out the complete O(alpha alpha(2)(s))-order study on the inclusive productions of Upsilon(nS) and chi(b)(nP) (n = 1, 2, 3) via the Standard Model Higgs boson decay, within the framework of nonrelativistic QCD. The feeddown effects via the higher excited states are found to be substantial. The color-octet S-3(1)[8] state related processes consisting of H-0 -> b (b) over bar[S-3(1)[8]] + g and H-0 -> b (b) over bar[S-3(1)[8]] + Q + (Q) over bar = c, b) play a vital role in the predictions on the decay widths. Moreover, our newly calculated next-to-leading order QCD corrections to H-0 -> b (b) over bar[S-3(1)[8]] + g can enhance its leading-order result by 3-4 times, subsequently magnifying the total S-3(1)[8] contributions by about 40%. Such a remarkable enhancement will to a large extent influence the phenomenological conclusions. For the color-singlet state, in addition to H-0 -> b (b) over bar[P-3(J)[1]] + b + (b) over bar, the newly introduced light hadrons associated process, H-0 -> b (b) over bar[P-3(J)[1]] + g + g, can also provide non-negligible contributions, especially for P-3(2)[l]. Summing up all the contributions, we have B-H0 ->chi(b(nP)+X) similar to 10(-6)-10(-5) and BH0 ->Upsilon(nS)+X similar to 10(-5)-10(-4), which meets marginally nowadays LHC experimental data and can help in understanding the heavy quarkonium production mechanism as well as the Yukawa couplings.