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Theoretical Particle Physics Research Program

This is the final technical report for DOE grant DE-FG02-13ER41997. It contains a brief description of accomplishments: research project that were completed during the period of the grant, research project that were started during the period of the grant, and service to the scientific community. It also lists the publications in the funded period, travel related to the grant, and information about the personal supported by the grant.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Measurement of the inclusive electron spectrum from B meson decays and determination of | V u b |

Based on the full BABAR data sample of 466.5 million $B\bar{B}$ pairs, we present measurements of the electron spectrum from semileptonic B meson decays. We fit the inclusive electron spectrum to distinguish Cabibbo-Kobayashi-Maskawa (CKM) suppressed B → X u eν decays from the CKM-favored B → X c eν decays, and from various other backgrounds, and determine the total semileptonic branching fraction B (B → Xeν) = ( 10.34 ± 0.04 stat ± 0.2 6 syst )%, averaged over B ± and B 0 mesons. We determine the spectrum and branching fraction for charmless B → X u eν decays and extract the CKM element | V ub | , by relying on four different QCD calculations based on the heavy quark expansion. While experimentally, the electron momentum region above 2.1 GeV / c is favored, because the background is relatively low, the uncertainties for the theoretical predictions are largest in the region near the kinematic endpoint. Detailed studies to assess the impact of these four predictions on the measurements of the electron spectrum, the branching fraction, and the extraction of the CKM matrix element |V ub | are presented, with the lower limit on the electron momentum varied from 0.8 GeV / c to the kinematic endpoint. We determine |V ub | using each of these different calculations and find, |V ub | = ( 3.794 ± 0.107 exp $+ 0.292\atop{ - 0.219 SF}$ $+ 0.078 \atop{- 0.068 theory}$ ) × 10 - 3 (De Fazio and Neubert), (4.563 ± 0.126 exp $+ 0.230\atop {- 0.208 SF}$ $+ 0.162\atop{- 0.163 theory}$ ) ×10 -3 (Bosch, Lange, Neubert, and Paz), (3.959 ± 0.104 exp $+ 0.164\atop{- 0.154 SF}$ $+ 0.042\atop{ - 0.079 theory}$ ) × 10 -3 (Gambino, Giordano, Ossola, and Uraltsev), (3.848 ± 0.108 exp $+ 0.084\atop{ - 0.070 theory}$) × 10 -3 (dressed gluon exponentiation), where the stated uncertainties refer to the experimental uncertainties of the partial branching fraction measurement, the shape function parameters, and the theoretical calculations.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Measurement of branching fraction and direct C P asymmetry in charmless B + → K + K - π + decays at Belle

We introduce a study of the charmless hadronic decay of the charged B meson to the three-body final state K + K - π + . The results are based on a data sample that contains 772 × 1 0 6 B B ¯ pairs collected at the Υ ( 4 S ) resonance with the Belle detector at the KEKB asymmetric-energy e + e - collider. The measured inclusive branching fraction and direct C P asymmetry are ( 5.38 ± 0.40 ± 0.35 ) × 10 - 6 and - 0.170 ± 0.073 ± 0.017 , respectively, where the first uncertainties are statistical and the second are systematic. The K + K - invariant mass distribution of the signal candidates shows an excess in the region below 1.5 GeV / c 2 , which is steady with the previous studies from BABAR and LHCb. In addition, strong evidence of a large direct C P asymmetry is found in the low K + K - invariant-mass region.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗