Resummation of Boson-Jet Correlation at Hadron Colliders

We perform a precise calculation of the transverse momentum ($\vec{q}_T$) distribution of the boson+jet system in boson production events. The boson can be either a photon, $W$, $Z$ or Higgs boson with mass $m_V$, and $\vec{q}_T$ is the sum of the transverse momenta of the boson and the leading jet with magnitude $q_T=|\vec q_T|$. Using renormalization group techniques and soft-collinear effective theory, we resum logarithms $\log(Q/q_T)$ and $\log R$ at next-to-leading logarithmic accuracy including the non-global logarithms, where $Q$ and $R$ are respectively the hard scattering energy and the radius of the jet. Specifically, we investigate two scenarios of $p^J_T \lesssim m_V$ or $p^J_T \gtrsim m_V$ in $Z$+jet events, and we examine the $q_T$ distributions with different jet radii and study the effect of non-global logarithms. In the end we compare our theoretical calculations with Monte Carlo simulations and data from the LHC.Comment: 35 pages, 7 figure

Music and National Identity: A Study of Cello Works by Taiwanese Composers

The purpose of this study is to explore the impact of folkloric elements in music by Taiwanese composers and to uncover the methods they treat regional materials under the influences of Western compositional techniques, hereby creating a new fusion within classical music. This study centers in the ethnic impact on modern Taiwanese music, and also provides an opportunity to probe the significance of the subject nation in the field of musical creativity. In this dissertation, the discussion includes the development of traditional and Western music in Taiwan including the historical and cultural background, how music serves as an emblem of national identity; the ties that have developed in the twentieth century between concert music and traditional Taiwanese music, and the progress in Western contemporary music. Musical forms and textures of five cello-related works of Taiwanese composers are analyzed and compared. These Taiwanese composers are representative of the last three generations; all have had traditional Western-style training in composition in Japan, Europe, or America. The works discussed are Trio: Nostalgia, Three Melodies by Tsang-Houei Hsu, Cello Concerto by Tyzen Hsiao, Idea and Image by Shui-Long Ma, Monologue of Sin by Gordon Chin, and Trio by Kwang-I Ying. By focusing on the relationship between national materials and new music compositions, and how composers understand and interpret these elements in their own works, such a study may stimulate more research in Taiwanese art music and bring it to a broader stage and serve to draw attention to further possible directions for Taiwanese educators, performers, and composers allowing them to introduce their works to an international audience

Phenotype-based and Self-learning Inter-individual Sleep Apnea Screening with a Level IV Monitoring System

Purpose: We propose a phenotype-based artificial intelligence system that can self-learn and is accurate for screening purposes, and test it on a Level IV monitoring system. Methods: Based on the physiological knowledge, we hypothesize that the phenotype information will allow us to find subjects from a well-annotated database that share similar sleep apnea patterns. Therefore, for a new-arriving subject, we can establish a prediction model from the existing database that is adaptive to the subject. We test the proposed algorithm on a database consisting of 62 subjects with the signals recorded from a Level IV wearable device measuring the thoracic and abdominal movements and the SpO2. Results: With the leave-one cross validation, the accuracy of the proposed algorithm to screen subjects with an apnea-hypopnea index greater or equal to 15 is 93.6%, the positive likelihood ratio is 6.8, and the negative likelihood ratio is 0.03. Conclusion: The results confirm the hypothesis and show that the proposed algorithm has great potential to screen patients with SAS