Multithresholding for arithmetic logic pattern matching

Searching for Bc mesons in the ATLAS experiment at LHC

“…On the other hand, assuming that the b-quark fragmentation yields a B c or a B * c with probability of the order of 10 −3 [2], the yield of B c mesons (not yet triggered) per year of running would be roughly ≃ 10 10 .…”

“…On the other hand, according to the set of papers in [2], perturbative QCD can provide a reliable calculation for the fragmentation function of a high-p ⊥ parton into B c states with only few input parameters: the QCD running constant α s , the charm and bottom masses, and the square of the radial wave function at the origin |R(0)| 2 . Note that the largest uncertainty for normalization purposes comes from the (third power of the) charm mass in the fragmentation function (see [2] for explicit expressions). However, we are only interested in the ratio…”

“…where each cross section can be written as a convolution of the parton distribution functions of the colliding protons, the cross section for the hard subprocess leading to the fragmenting gluon or heavy quark and the respective fragmentation function [2]. Thus notice that the fragmentation functions D b→Bc , D g→Bc and D c→ψ ′ , D g→ψ ′ [18], which themselves are independent of the partonlevel subprocesses, appear combined as a ratio.…”

“…In particular, a lot of work has been recently devoted to the observation of the B c meson regarding both the hadroproduction [2] and decay [3] [4] (see references therein). Specifically, we shall focus on the feasibility of its detection in the ATLAS experiment at the LHC through some decay modes.…”