Automatic Leptonic Tensor Generation for Beyond the Standard Model Theories

Automatic Leptonic Tensor Generation for Beyond the Standard Model Theories Pub Date : 1900-01-01 DOI:10.2172/1826144

D. Lopez Gutierrez, J. Isaacson

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Abstract

Lopez Gutierrez, Diego Fabrizio B.A., Macalester College, April 16 2021. Automatic Leptonic Tensor Generation for Beyond the Standard Model (BSM) Theories. . With the development of the Deep Underground Neutrino Experiment (DUNE) and Tokai-to-Hyper-Kamiokande (T2HK), we are entering the era of high-precision neutrino measurements. The colossal output of data from DUNE, plus the current data from several other neutrino experiments, will require a fast and efficient method of testing our BSM models in event generators. However, current methods for implementing a BSM theory in the event generators are prone to errors and time-consuming. We propose a novel program capable of automatically calculating the leptonic tensor for a given quantum field theory Lagrangian. This program is written in Python and utilizes the Universal FeynRules Output (UFO) format, the Lark package, and the Berends-Giele recursive relations to produce leptonic tensors that can be automatically implemented in several neutrino event generators, including those relevant for DUNE. For this project, we tested our algorithm with three SM processes: e−p+ → e−p+, νeνμ → e−μ+ and νep → νep. For each process, we calculated the numerical and analytic |M| and σ that we plotted as functions of cos θ and ECM , respectively. The numerical results for e−p+ → e−p+ and νep → νep show good agreement with the analytic results with a cross section numerical to analytic ratio of ∼ 1 and ∼ 0.9, respectively. The process νeνμ → e−μ+ shows deviations from the analytic values with a numerical to analytic ratio of ∼ 1.5. We believe this deviation stems from inconsistencies in the helicity sum of our program and will investigate this effect further. For the future, we will be correcting these deviations and testing more complex SM processes as well as some BSM theories. 9 Lopez Gutierrez: Automatic Leptonic Tensor Generation for BSM Theories Published by DigitalCommons@Macalester College, 2021

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超越标准模型理论的轻子张量自动生成

洛佩兹·古铁雷斯，Diego Fabrizio文学学士，马卡莱斯特学院，2021年4月16日。超标准模型(BSM)理论的轻子张量自动生成。随着深地下中微子实验(DUNE)和tokai -to- hyper - kamokande (T2HK)的发展，我们正在进入高精度中微子测量的时代。DUNE的巨大数据输出，加上其他几个中微子实验的当前数据，将需要一种快速有效的方法来测试我们的事件生成器中的BSM模型。然而，目前在事件生成器中实现BSM理论的方法容易出错且耗时。我们提出了一个新的程序，能够自动计算给定量子场理论拉格朗日的轻子张量。这个程序是用Python编写的，并利用通用FeynRules Output (UFO)格式、Lark包和Berends-Giele递归关系来产生轻子张量，这些轻子张量可以在几个中微子事件生成器中自动实现，包括与DUNE相关的那些。在这个项目中，我们用三个SM过程测试了我们的算法:e−p+→e−p+， ν νμ→e−μ+和νep→νep。对于每个过程，我们分别计算了作为cos θ和ECM函数的数值和解析|M|和σ。e−p+→e−p+和νep→νep与解析结果吻合较好，截面数值解析比分别为~ 1和~ 0.9。ν νμ→e−μ+过程显示出与解析值的偏差，其数值与解析值的比值为~ 1.5。我们认为这种偏差源于我们程序的螺旋和不一致，并将进一步调查这种影响。未来，我们将纠正这些偏差，并测试更复杂的SM过程以及一些BSM理论。9 Lopez Gutierrez: BSM理论的自动轻子张量生成，出版于DigitalCommons@Macalester College, 2021

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Automatic Leptonic Tensor Generation for Beyond the Standard Model Theories

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