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An impressive feature of loop quantum gravity (LQG) is that it can elegantlyresolve both the big bang and black hole singularities. By using theNewman-Janis algorithm, a regular and effective rotating self-dual blackhole(SDBH) metric could be constructed, which alters the Kerr geometry with apolymeric function $P$ from the quantum effects of LQG geometry. In this paper,we investigate its impact on the frequency characteristics of the X-rayquasi-periodic oscillations(QPOs) from 5 X-ray binaries and contrast it withthe existing results of the orbital, periastron precession and nodal precessionfrequencies within the relativistic precession model. We apply a Monte CarloMarkov Chain (MCMC) simulation to examine the possible LQG effects on the X-rayQPOs. We found that the best constraint result for the rotating self-dualgeometry from LQG came from the QPOs of X-ray binary GRO J1655-40, whichestablish an upper bound on the polymeric function $P$ less than $6.17\times10^{-3}$ at 95\% confidence level. This bound leads to a restriction on thepolymeric parameter $\delta$ of LQG to be 0.67.

Constraints on the rotating self-dual black hole with quasi-periodic oscillations