What the study found
The study found analytic expressions for all matching coefficients of the two-quark operator contributions in the heavy quark expansion (HQE) of a B meson up to mass-dimension six. It also calculated weak-annihilation contributions that were previously missing.
Why the authors say this matters
The authors say these results complete the calculation of beyond Standard Model (BSM; theories extending the Standard Model of particle physics) effects in non-leptonic, tree-level b-quark decays relevant for B-meson lifetimes and lifetime ratios such as τ(B_s^0)/τ(B_d^0). They also note that these BSM contributions arise naturally in generic extensions of the Standard Model that aim to address tensions between experimental measurements and predictions based on QCD factorisation (a method for calculating hadronic decay amplitudes) in several colour-allowed non-leptonic B-meson decays.
What the researchers tested
Starting from the most general effective |ΔB| = 1 Hamiltonian describing non-leptonic b-quark decays, the researchers computed matching coefficients in the HQE of a B meson. They included contributions up to mass-dimension six, and also determined matching coefficients induced by QCD-penguin operators within the Standard Model, including current-current/penguin interference and terms quadratic in penguin operators.
What worked and what didn't
The results reproduce the known expressions at dimension three. They provide new results for the coefficients of the chromomagnetic operator at dimension five and of the Darwin operator at dimension six. The weak-annihilation contributions at dimension six were calculated as part of the work.
What to keep in mind
The abstract does not describe experimental validation or numerical estimates, and it does not state specific limitations beyond the scope of the calculation. The work is focused on analytic matching coefficients and contributions within the HQE framework for non-leptonic b-quark decays.
Key points
- Analytic matching coefficients were obtained for two-quark operator contributions in the HQE of a B meson through mass-dimension six.
- Previously missing weak-annihilation contributions at dimension six were calculated.
- The authors say the work completes BSM contributions for non-leptonic, tree-level b-quark decays relevant to B-meson lifetime studies.
- The calculation also covers Standard Model QCD-penguin operator effects, including interference and quadratic terms.
- The results reproduce known expressions at dimension three and add new coefficients at dimensions five and six.
Disclosure
- Research title:
- B-meson decay-width coefficients are extended through 1/m_b^3
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