Abstract
We calculate the coefficients of the dimension-8 quark and gluon condensates in the current-current correlator of 1−+ light hybrid current $$ g\overline{q}(x){\gamma}_{\nu }i{G}_{\mu \nu }(x)q(x) $$ . With inclusion of these higher-power corrections and updating the input parameters, we re-analyze the mass of the 1−+ light hybrid meson from Monte-Carlo based QCD sum rules. Considering the possible violation of factorization of higher dimensional condensates and variation of 〈g3G3〉, we obtain a conservative mass range 1.72-2.60 GeV, which favors π1(2015) as a better hybrid candidate compared with π1(1600) and π1(1400).
Highlights
JHEP04(2015)004 rules following the matching procedure introduced by Leinweber in [26] and successfully performed in some other works [27,28,29,30], from which the continuum threshold s0 is an output parameter and an uncertainty analysis can be provided
We calculate the coefficients of the dimension-8 quark and gluon condensates in the current-current correlator of 1−+ light hybrid current gq(x)γνiGμν(x)q(x)
With inclusion of these higher-power corrections and updating the input parameters, we re-analyze the mass of the 1−+ light hybrid meson from Monte-Carlo based QCD sum rules
Summary
If we require dimension-8 contributions are less than 15 percent, it means we choose a window with a larger upper bound compared with d ≦ 6 case This choice enhances suppression of excited states and continuum, but the convergence of OPE gets worse, which increases the uncertainties of the OPE side. We list the results deduced from d ≦ 6 contributions in the optimal windows of d ≦ 8 cases to show the variations of the sum rules in these regions after considering the dimension-8 contributions. Under the considerations of possible violation of factorization and different values of g3G3 , we obtain a mass range 1.88–2.60 GeV from the optimal windows. The sum rule window there is just established by keeping HDC < 10% as the common procedure, lacking in an explicit consideration of the convergence of OPE All these lead to the discrepancy of the predictions
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