17–22 Aug 2009
Europe/Berlin timezone

Analytic calculation of two-loop QCD corrections to b\to s\ell^+\ell^- in the high q^2 region

18 Aug 2009, 14:00
1m
Poster Session Poster Session

Speaker

Dr Volker Pilipp (Institute for Theoretical Physics)

Please give a brief summary of your poster

We present our results for the NNLL virtual corrections to the matrix
elements of the operators O_1 and O_2 for the inclusive process b\to
s\ell^+\ell^- in the kinematical region q^2>4m_c^2, where q^2 is the
invariant mass squared of the lepton-pair. This is the first analytic
two-loop calculation of these matrix elements in the high q^2
region. We give the matrix elements as an expansion in m_c/m_b and
keep the full analytic dependence on q^2. Making extensive use of
differential equation techniques, we fully automatize the expansion of
the Feynman integrals in m_c/m_b. To this end we invented a new
method based on sector decomposition and Mellin-Barnes techniques,
which allows to obtain the coefficients of the expansion in terms of
finite integrals.
Finally we confirmed the results of an earlier numerical calculation
from Ghinculov et al. which are not publicly available as a function
of m_c/m_b and q2.

Primary authors

Mr Christof Schüpbach (Institute for Theoretical Physics) Prof. Christoph Greub (Institute for Theoretical Physics) Dr Volker Pilipp (Institute for Theoretical Physics)

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