We investigate to what extent the experimental information on B [yields] [pi][pi] branching fractions and CP asymmetries can be used to better understand the QCD dynamics in these decays. For this purpose we decompose the independent isospin amplitudes into factorizable and non-factorizable contributions. The former can be estimated within the framework of QCD factorization for exclusive B decays. The latter vanish in the heavy-quark limit, m[sub b] [yields] [infinity], and are treated as unknown hadronic parameters. We discuss at some length in which way the non-factorizable contributions are treated in different theoretical and phenomenological frameworks. We point out the potential differences between the phenomenological treatment of power-corrections in the ''BBNS approach'', and the appearance of power-suppressed operators in soft-collinear effective theory (SCET). On that basis we define a handful of different (but generic) scenarios where the non-factorizable part of isospin amplitudes is parameterized in terms of three or four unknowns, which can be constrained by data. We also give some short discussion on the implications of our analysis for B [yields] [pi]K decays. In particular, since non-factorizable QCD effects in B [yields] [pi][pi] may be large, we cannot exclude sizeable non-factorizable effects, which violate SU(3)[sub F] flavour symmetry, or even isospin symmetry (via long-distance QED effects). This may help to explain certain puzzles in connection with isospin-violating observables in B [yields] [pi]K decays.

We investigate to what extent the experimental information on B → [pi][pi] branching fractions and CP asymmetries can be used to better understand the QCD dynamics in these decays. For this purpose we decompose the independent isospin amplitudes into factorizable and non-factorizable contributions. The former can be estimated within the framework of QCD factorization for exclusive B decays. The latter vanish in the heavy-quark limit, m{sub b} → ∞, and are treated as unknown hadronic parameters. We discuss at some length in which way the non-factorizable contributions are treated in different theoretical and phenomenological frameworks. We point out the potential differences between the phenomenological treatment of power-corrections in the ''BBNS approach'', and the appearance of power-suppressed operators in soft-collinear effective theory (SCET). On that basis we define a handful of different (but generic) scenarios where the non-factorizable part of isospin amplitudes is parameterized in terms of three or four unknowns, which can be constrained by data. We also give some short discussion on the implications of our analysis for B → [pi]K decays. In particular, since non-factorizable QCD effects in B → [pi][pi] may be large, we cannot exclude sizeable non-factorizable effects, which violate SU(3){sub F} flavour symmetry, or even isospin symmetry (via long-distance QED effects). This may help to explain certain puzzles in connection with isospin-violating observables in B → [pi]K decays.

This 2nd edition is an extensive update of "B Decays?. The revisions are necessary because of the extensive amount of new data and new theoretical ideas. This book reviews what is known about b-quark decays and also looks at what can be learned in the future.The importance of this research area is increasing, as evidenced by the approval of the luminosity upgrade for CESR and the asymmetric B factories at SLAC and KEK, and the possibility of experiments at hadron colliders.The key experimental observations made thus far, measurement of the lifetimes of the different B species, B0-B0 mixing, the discovery of ?Penguin? mediated decays, and the extraction of the CKM matrix elements Vub and Vcb from semileptonic decays, as well as more mundane results, are described in great detail by the experimentalists who have been closely involved with making the measurements. Theoretical progress in understanding b-quark decays using HQET and lattice gauge techniques are described by theorists who have developed and used these techniques.Synthesizing the experimental and theoretical information, several articles discuss the implications for the ?Standard Model? and how further tests can be done using measurements of CP violation in the B system.

This is an exploratopn of rhythm and meter in the 19th-century German Lied, including songs for voice and piano by Fanny Hensel née Mendelssohn, Franz Schubert, Robert Schumann, Johannes Brahms, and Hugo Wolf. The Lied, as a genre, is characterised especially by the fusion of poetry and music.

Tonality and Transformation is a groundbreaking study in the analysis of tonal music. Focusing on the listener's experience, author Steven Rings employs transformational music theory to illuminate diverse aspects of tonal hearing - from the infusion of sounding pitches with familiar tonal qualities to sensations of directedness and attraction. In the process, Rings introduces a host of new analytical techniques for the study of the tonal repertory, demonstrating their application in vivid interpretive set pieces on music from Bach to Mahler. The analyses place the book's novel techniques in dialogue with existing tonal methodologies, such as Schenkerian theory, avoiding partisan debate in favor of a methodologically careful, pluralistic approach. Rings also engages neo-Riemannian theory-a popular branch of transformational thought focused on chromatic harmony-reanimating its basic operations with tonal dynamism and bringing them into closer rapprochement with traditional tonal concepts. Written in a direct and engaging style, with lively prose and plain-English descriptions of all technical ideas, Tonality and Transformation balances theoretical substance with accessibility: it will appeal to both specialists and non-specialists. It is a particularly attractive volume for those new to transformational theory: in addition to its original theoretical content, the book offers an excellent introduction to transformational thought, including a chapter that outlines the theory's conceptual foundations and formal apparatus, as well as a glossary of common technical terms. A contribution to our understanding of tonal phenomenology and a landmark in the analytical application of transformational techniques, Tonality and Transformation is an indispensible work of music theory.

Combining historical music theory with the cognitive study of music, Playing with Meter traces metric manipulations and strategies in Haydn and Mozart's string chamber music from 1787 to 1791. Her analysis shed new light on this repertoire and redefine the role of meter and rhythm in Classical music.