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

Simple item page
dc.creatorGreub, Christoph
dc.creatorPilipp, Volker
dc.creatorSchüpbach, Christof
dc.date2008-10-22
dc.date2008-12-09
dc.date.accessioned2026-07-07T13:16:15Z
dc.date.available2026-07-07T13:16:15Z
dc.descriptionWe 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 expanding of the Feynman integrals in m_c/m_b. In coincidence with an earlier work where the master integrals where calculated numerically (Ghinculov et al.) we find that in the high q^2 region the α_s corrections to the matrix elements <s \ell^+ \ell^-|O_{1,2}|b> calculated in the present paper lead to a decrease of the q^2-spectrum by 10%-15% relative to the NNLL result in which these contributions are put to zero and reduce the renormalization scale uncertainty to ~2%.
dc.description27 pages, 4 figures, 2 tables, mathematica and c++ code attached, minor changes and corrections of typos
dc.identifierhttps://arxiv.org/abs/0810.4077
dc.identifierhttp://arxiv.org/abs/0810.4077
dc.identifierJHEP 0812:040,2008
dc.identifierdoi:10.1088/1126-6708/2008/12/040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230734
dc.subjectHigh Energy Physics - Phenomenology
dc.titleAnalytic calculation of two-loop QCD corrections to b\to s\ell^+\ell^- in the high q^2 region
dc.typetext

Files

Collections

arXiv