arXiv 2005.002922020-05hep-phhep-thquant-ph

紧化类空额外维与Brane-Higgs场

Compactified Spacelike Extra Dimension & Brane-Higgs Field

Florian Nortier

备注：: 244 pages. PhD thesis manuscript. Part I "State of the Art" in French and Part II "Original Research Work" in English
DOI：: 10.5281/zenodo.4974619

摘要：

在具有小的扭曲类空额外维度（SED）的范例中，希格斯场通常局限于SED（TeV膜）的边界，在那里引力标度通过扭曲因子红移到TeV。如果SM规范玻色子和费米子传播到扭曲的SED中，就可以产生费米子的质量等级。因此，这是至关重要的，仔细对待TeV膜局域质量的费米子，这是在文献中通过应用正则化过程遭受缺乏一致性，更重要的是无用的，因为我们在本论文中详细证明。论文的第一部分是致力于处理膜定域质量项的5D费米子，这需要引入新的拉格朗日项在SED边界，类似于在重力的Gibbons-Hawking条款。第二部分包括应用不同的方法（功能/分布场，4D/5D计算等），以各种膜本地化条款（动力学条款，马约拉纳群众等），以及推广到几个分类模型（平坦/翘曲尺寸，intervalle/orbifold等）。在第三部分中，我们提出了紧致化一个平坦的SED的星/玫瑰图具有大量相同的小叶子/花瓣。我们得到了一个具有大体积的紧化空间，而不需要很大的紧化长度来稳定。我们使用5D费米子的方法来建立一个玩具模型的小狄拉克中微子质量（膜局域左手中微子和大量的右手的）。

英文摘要：

In the paradigm with a small warped Spacelike Extra Dimensions (SED), the Higgs field is in general localized at a boundary of the SED (TeV-brane) where the gravity scale is redshifted to the TeV by a warp factor. If the SM gauge bosons and fermions propagate into the warped SED, one can generate the mass hierarchy for fermions. It is thus crucial to treat carefully the TeV-brane localized masses for such fermions, which is done in the literature by applying a regularization process suffering from a lack of consistency and more importantly being useless, as we demonstrate in detail in the present thesis. The first part of the thesis is devoted to the treatment of brane localized mass terms for 5D fermions, which requires the introduction of new Lagrangian terms at the SED boundaries, similar to the Gibbons-Hawking terms in gravity. The second part consists in applying different methods (function/distribution fields, 4D/5D calculations, etc) to various brane localized terms (kinetic terms, Majorana masses, etc), as well as a generalization to several classified models (flat/warped dimensions, intervalle/orbifold, etc). In the third part, we propose to compactify a flat SED on a star/rose graph with a large number of identical small leaves/petals. We obtain a compactified space with a large volume without a large compactification length to stabilize. We use the approach of 5D fermions to build a toy model of small Dirac neutrino masses (brane localized left-handed neutrinos and bulk right-handed ones).

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

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