Abstract
The standard theoretical framework to deal with weak decays of heavy mesons is the so-called weak effective Hamiltonian. It involves the short-distance Wilson coefficients, which depend on the renormalisation scale μ. For specific calculations one has to evolve the Wilson coefficients down from the electroweak scale μ = M W to the typical mass scale of the decay under consideration. This is done by solving a renormalisation group equation for the effective operator basis. In this paper the results of a consistent two-step running of the c → u ℓ + ℓ − Wilson coefficients for dimension-6 operators are presented. This running involves the intermediate scale μ = m b (with M W > m b > m c ) where the bottom quark is integrated out. The matching coefficients and anomalous dimensions are taken to the required order by generalizing and extending results from b → s or s → d transitions available in the literature.
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ArXiv ePrint: 1606.05521
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de Boer, S., Müller, B. & Seidel, D. Higher-order Wilson coefficients for c → u transitions in the standard model. J. High Energ. Phys. 2016, 91 (2016). https://doi.org/10.1007/JHEP08(2016)091
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DOI: https://doi.org/10.1007/JHEP08(2016)091