A prediction of neutrino mixing matrix with CP violating phase

The latest experimental progress have established three kinds of neutrino oscillations with three mixing angles measured to rather high precision. There is still one parameter, i.e., the CP violating phase, missing in the neutrino mixing matrix. It is shown that a replay between different parametrizations of the mixing matrix can determine the full neutrino mixing matrix together with the CP violating phase. From the maximal CP violation observed in the original Kobayashi-Maskawa (KM) scheme of quark mixing matrix, we make an Ansatz of maximal CP violation in the neutrino mixing matrix. This leads to the prediction of all nine elements of the neutrino mixing matrix and also a remarkable prediction of the CP violating phase $\delta_{\rm CK}=(85.48^{+4.67(+12.87)}_{-1.80(-4.90)})^\circ$ within $1\sigma (3\sigma)$ range from available experimental information. We also predict the three angles of the unitarity triangle corresponding to the quark sector for confronting with the CP-violation related measurements.Comment: 9 pages. Version accepted for publication in PLB, with methods for CP-violating phase measurements discusse

The Majorana neutrino mass matrix indicated by the current data

The Majorana neutrino mass matrix combines information from the neutrino masses and the leptonic mixing in the flavor basis. Its invariance under some transformation matrices indicates the existence of certain residual symmetry. We offer an intuitive display of the structure of the Majorana neutrino mass matrix, using the whole set of the oscillation data. The structure is revealed depending on the lightest neutrino mass. We find that there are three regions with distinct characteristics of structure. A group effect and the $\mu$-$\tau$ exchange symmetry are observed. Six types of texture non-zeros are shown. Implications for flavor models are discussed.Comment: 18 Latex pages, 8 figure

Quark-lepton complementarity and self-complementarity in different schemes

With the progress of increasingly precise measurements on the neutrino mixing angles, phenomenological relations such as quark-lepton complementarity (QLC) among mixing angles of quarks and leptons and self-complementarity (SC) among lepton mixing angles have been observed. Using the latest global fit results of the quark and lepton mixing angles in the standard Chau-Keung scheme, we calculate the mixing angles and CP-violating phases in the other eight different schemes. We check the dependence of these mixing angles on the CP-violating phases in different phase schemes. The dependence of QLC and SC relations on the CP phase in the other eight schemes is recognized and then analyzed, suggesting that measurements on CP-violating phases of the lepton sector are crucial to the explicit forms of QLC and SC in different schemes.Comment: 11 pages, 3 figures, version accepted for publication in PR

Streaming to transgress: the racial politics of reactionary YouTubers and their audiences

This doctoral thesis examines the racial discourse of “alt-lite” YouTube personalities and their audiences. The term “alt-lite” was coined in the mid-2010s by self-avowed members of the white nationalist “alt-right” movement to castigate fellow reactionaries whose politics broadly aligned with theirs but who were not bold enough to explicitly embrace ethnonationalism. In this thesis, I examine “alt-lite” discourse as a calculated position within the attention economy, one that has been adopted with great success by popular reactionary influencers, particularly on YouTube. Understudied compared to other mainstream social media platforms, YouTube operates as an important launching pad for these right-wing micro-celebrities and serves as the primary field site for this qualitative study. Building on scholarship within critical race and digital studies, cultural studies, and political communication, this thesis asks: What discourses about race circulate within and around “alt-lite” YouTube channels? To answer this question, I draw on two and a half years of online data collection: over 250 YouTube videos; observation of nine Facebook, Reddit, and Discord groups; and semi-structured interviews with 18 current and former viewers of reactionary YouTube channels. I use qualitative content analysis and critical discourse analysis to interrogate these materials and draw conclusions about the strategies and impacts of “alt-lite” influencers. I find that these YouTubers traffic in white supremacist talking points, while adopting rhetorical strategies and legitimating practices that obfuscate their ideological extremity. Even as the most popular “alt-lite” YouTubers bring in substantial salaries from ad revenue, crowdsourcing, subscription fees, and partnerships, they are perceived by audiences as subversive “outsiders,” who are unbeholden to the institutional and ideological constraints of establishment media. Thus, “alt-lite” influencers are emblematic of an “alternative” right-wing media ecology that flourishes online, providing viewers with engaging political commentary that reflects their frustrations, keeps them entertained, and validates their desire to think for themselves

Quark-lepton complementarity revisited

We reexamine the quark-lepton complementarity (QLC) in nine angle-phase parametrizations with the latest result of a large lepton mixing angle $\vartheta_{13}$ from the T2K, MINOS and Double Chooz experiments. We find that there are still two QLC relations satisfied in P1, P4 and P6 parametrizations, whereas only one QLC relation holds in P2, P3, P5 and P9 parametrizations separately. We also work out the corresponding reparametrization-invariant forms of the QLC relations and check the resulting expressions with the experimental data. The results can be viewed as a check of the validity of the QLC relations, as well as a new perspective into the issue of seeking for the connection between quarks and leptons.Comment: 5 Latex pages, 2 tables. Final version for publication in PR

Optimal and Bounded-Suboptimal Multi-Goal Task Assignment and Path Finding

We formalize and study the multi-goal task assignment and path finding (MG-TAPF) problem from theoretical and algorithmic perspectives. The MG-TAPF problem is to compute an assignment of tasks to agents, where each task consists of a sequence of goal locations, and collision-free paths for the agents that visit all goal locations of their assigned tasks in sequence. Theoretically, we prove that the MG-TAPF problem is NP-hard to solve optimally. We present algorithms that build upon algorithmic techniques for the multi-agent path finding problem and solve the MG-TAPF problem optimally and bounded-suboptimally. We experimentally compare these algorithms on a variety of different benchmark domains.Comment: ICRA 202

Leptogenesis from low energy CP violation in minimal left-right symmetric model

We perform a thermal unflavored leptogenesis analysis on minimal left-right symmetric models in which the left-right symmetry is identified as generalized parity or charged conjugation. When left-right symmetry is unbroken in lepton Yukawa sector, the neutrino Dirac coupling matrix is completely determined by neutrino masses and mixing angles, which enables CP violation needed to generate leptogenesis totally reside in the low energy sector. Both type I and mixed type I + II neutrino mass generation mechanisms, together with two lepton asymmetry generation ones, are considered. After solving the Boltzmann equations numerically, we find that the low energy CP phases in the lepton mixing matrix can successfully produce the observed baryon asymmetry, and in some cases the Dirac CP phase is the only source of CP violation. Finally we discuss the interplay among low energy CP phase measurements, leptogenesis and neutrinoless double beta decay, and show that the viable models for successful leptogenesis can be tested in next generation neutrinoless double-beta decay experiments.Comment: 30 pages, 18 figure

Program of Thoughts Prompting: Disentangling Computation from Reasoning for Numerical Reasoning Tasks

Recently, there has been significant progress in teaching language models to perform step-by-step reasoning to solve complex numerical reasoning tasks. Chain-of-thoughts prompting (CoT) is by far the state-of-art method for these tasks. CoT uses language models to perform both reasoning and computation in the multi-step `thought' process. To disentangle computation from reasoning, we propose `Program of Thoughts' (PoT), which uses language models (mainly Codex) to express the reasoning process as a program. The computation is relegated to an external computer, which executes the generated programs to derive the answer. We evaluate PoT on five math word problem datasets (GSM, AQuA, SVAMP, TabMWP, MultiArith) and three financial-QA datasets (FinQA, ConvFinQA, TATQA) for both few-shot and zero-shot setups. Under both few-shot and zero-shot settings, PoT can show an average performance gain over CoT by around 12\% across all the evaluated datasets. By combining PoT with self-consistency decoding, we can achieve SoTA performance on all math problem datasets and near-SoTA performance on financial datasets. All of our data and code are released in Github\footnote{\url{https://github.com/wenhuchen/Program-of-Thoughts}}

CrossFusion: Interleaving Cross-modal Complementation for Noise-resistant 3D Object Detection

The combination of LiDAR and camera modalities is proven to be necessary and typical for 3D object detection according to recent studies. Existing fusion strategies tend to overly rely on the LiDAR modal in essence, which exploits the abundant semantics from the camera sensor insufficiently. However, existing methods cannot rely on information from other modalities because the corruption of LiDAR features results in a large domain gap. Following this, we propose CrossFusion, a more robust and noise-resistant scheme that makes full use of the camera and LiDAR features with the designed cross-modal complementation strategy. Extensive experiments we conducted show that our method not only outperforms the state-of-the-art methods under the setting without introducing an extra depth estimation network but also demonstrates our model's noise resistance without re-training for the specific malfunction scenarios by increasing 5.2\% mAP and 2.4\% NDS