B-decay form factors from QCD sum rules
Description
In the Standard Model of particle physics there is only one source of CP-violation. Namely, a single complex phase in the unitary 3 x 3 CKM-Matrix governing flavor transitions in the weak interaction. The unitarity is usually visualized by a triangle in the complex ρ - η-plane. Therefore testing this framework comes down to measuring weak decays, relating observables to sides and angles of this so called Unitarity Triangle(UT). Particular interest in this respect is payed to decays of mesons containing a heavy b-quark, giving the opportunity to alone determine all parameters of the UT. Doing this is far from easy. Besides tedious experimental measurements the theoretical calculations are plagued by hadronic quantities which cannot be determined by perturbation theory. In this work several of these quantities so called form factors are computed using the well known method of light cone sum rules(LCSR). Two different setups have been used. One, established in this work, utilizing a correlation function with an on-shell B-Meson and one following the traditional calculation by taking the light meson on-shell. Both using light cone expansion in the respective on-shell mesons distribution amplitudes. While the first approach allows to calculate a whole bunch of phenomenologically interesting quantities by just changing Dirac-structures of the relevant currents it has the drawback that it does not have access to the well developed twist expansion of the latter. To incorporate higher Fock-state contributions the first models for three-particle distribution amplitudes of the B-Meson have been derived. αs-corrections remain out of the scope of this work. Nevertheless does a comparison with more sophisticated methods show an encouraging numerical agreement. In the second setup all known corrections especially the never verified αs-corrections to Twist three terms have been recalculated and a competitive result for the CKM-matrixelement vertical stroke Vub vertical stroke was obtained. (orig.)
Availability note (English)
Available from INIS in electronic form
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Additional details
Additional titles
- Original title (German)
- B-Zerfallsformfaktoren aus QCD-Summenregeln
Publishing Information
- Imprint Pagination
- 204 p.
- Report number
- INIS-DE--0610
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 40042425
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Thesis
- Descriptors DEI
- ALGEBRAIC CURRENTS; B MESONS; CONFIGURATION MIXING; CORRECTIONS; CORRELATION FUNCTIONS; DISTRIBUTION FUNCTIONS; FLAVOR MODEL; FOCK REPRESENTATION; FORM FACTORS; KOBAYASHI-MASKAWA MATRIX; LIGHT CONE; MATRIX ELEMENTS; OPERATOR PRODUCT EXPANSION; PARTICLE STRUCTURE; PERTURBATION THEORY; QUANTUM CHROMODYNAMICS; SEMILEPTONIC DECAY; SERIES EXPANSION; SUM RULES; THREE-BODY PROBLEM
- Descriptors DEC
- BEAUTY MESONS; BEAUTY PARTICLES; BOSONS; COMPOSITE MODELS; CURRENTS; DECAY; DIMENSIONLESS NUMBERS; ELEMENTARY PARTICLES; EQUATIONS; FIELD THEORIES; FUNCTIONS; HADRONS; INTERACTIONS; MANY-BODY PROBLEM; MATHEMATICAL MODELS; MATRICES; MESONS; PARTICLE DECAY; PARTICLE MODELS; PARTICLE PROPERTIES; PSEUDOSCALAR MESONS; QUANTUM FIELD THEORY; QUARK MODEL; SERIES EXPANSION; SPACE-TIME; WEAK PARTICLE DECAY