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Operator product expansion in static-quark effective field theory: large perturbative correction
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We calculate the coefficients of operators with dimensions d <= 7 in the operator product expansion of correlators of q Gamma Q currents, for the effective field theory of an infinite-mass quark, Q. Exact two-loop results are obtained, with an arbitrary gauge group and spacetime dimension, for the perturbative (d=0) and quark-condensate (d=3) contributions, confirming our previous result for the anomalous dimension of the current. Leading-order results are given for light-quark operators with d=5, 6, 7 and gluon operators with d=4, 6. The existence of a perturbative correction of order 100% precludes a reliable determination of f_B from non-relativistic sum rules.
Forward citations
Cited by 3 Pith papers
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HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model
HQET sum rules yield the first four-quark bag parameters for B-meson lifetimes with beyond-standard-model operators, plus updated standard-model results.
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Correlators of heavy-light quark currents in HQET: Perturbative contribution up to 4 loops and beyond
New four-loop coefficient functions are presented for the HQET heavy-light current correlator with light-quark mass terms up to second order.
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Correlator of heavy-light quark currents in HQET in the large $\beta_0$ limit
The perturbative heavy-light current correlator in HQET is computed to O(m_q²) at leading order in 1/β₀, and its UV/IR renormalon poles are mapped.
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