{"arxiv_id":"hep-ph/9409309","title":"QCD Factors a1 and a2 Beyond Leading Logarithms Versus Factorization in Non-Leptonic Heavy Meson Decays","abstract":"We calculate the QCD factors $a_1$ and $a_2$, entering the tests of factorization in non-leptonic heavy meson decays, beyond the leading logarithmic approximation in three renormalization schemes (NDR, HV, DRED). We investigate their $\\mu$--dependence and the renormalization scheme dependence. We point out that $a_1$ for B-decays depends very weakly on $\\Lms$, $\\mu$ and the choice of the renormalization scheme. For $\\Lms^{(5)}=225\\pm85~MeV$ and $4~GeV\\leq\\mu\\leq 8~GeV$ we find $a_1=1.01\\pm0.02$ in accordance with phenomenology. The $\\Lms$, $\\mu$ and scheme dependences of $a_2$ are on the other hand sizable. Interestingly, for the NDR scheme we find $a_2^{NDR}=0.20\\pm0.05$, in the ball park of recent phenomenological results and substantially larger than leading order estimates. However $a_2^{HV}=0.16\\pm0.05$ and $a_2^{DRED}=0.15\\pm0.05$. Implications of these findings for the tests of factorization in B-decays and D-decays are critically discussed.","primary_cat":"hep-ph","cross_cats":[],"submitted_at":"1994-09-14T13:04:04+00:00","latest_version":1,"source":"arxiv","source_label":"arXiv","source_url":null,"has_pdf":true,"has_source":false,"verdict":null,"confidence":null,"one_line_summary":null,"novelty_score":null,"correctness_risk":null,"formal_verification":null,"upvotes":0,"downvotes":0,"pith_score":0,"inbound_count":4,"_links":{"html":"https://pith.science/paper/hep-ph/9409309","verdict":"/api/v1/verdicts/hep-ph/9409309"}}