Adiabatic regularisation of power spectra in kk-inflation

We look at the question posed by Parker et al. about the effect of UV regularisation on the power spectrum for inflation. Focusing on the slow-roll $k$-inflation, we show that up to second order in the Hubble and sound flow parameters, the adiabatic regularisation of such model leads to no difference in the power spectrum apart from certain cases that violate near scale invariant power spectra. Furthermore, extending to non-minimal $k$-inflation, we establish the equivalence of the subtraction terms in the adiabatic regularisation of the power spectrum in Jordan and Einstein frames.Comment: 17 pages; v2, typos corrected & reference added; v3, rewrote some parts for clarit

Meaning of the field dependence of the renormalization scale in Higgs inflation

We consider the prescription dependence of the Higgs effective potential under the presence of general nonminimal couplings. We evaluate the fermion loop correction to the effective action in a simplified Higgs-Yukawa model whose path integral measure takes simple form either in the Jordan or Einstein frame. The resultant effective action becomes identical in both cases when we properly take into account the quartically divergent term coming from the change of measure. Working in the counterterm formalism, we clarify that the difference between the prescriptions I and II comes from the counter term to cancel the logarithmic divergence. This difference can be absorbed into the choice of tree-level potential from the infinitely many possibilities, including all the higher-dimensional terms. We also present another mechanism to obtain a flat potential by freezing the running of the effective quartic coupling for large field values, using the nonminimal coupling in the gauge kinetic function.Comment: 19 pages; version to appear in Phys. Rev. D; title changed according to editor's request; paragraphs added in the end of Secs. 3.3 and 4; minor modification

Cosmological implications of Standard Model criticality and Higgs inflation

The observed Higgs mass indicates that the Standard Model can be valid up to near the Planck scale $M_\text{P}$. Within this framework, it is important to examine how little modification is necessary to fit the recent experimental results in particle physics and cosmology. As a minimal extension, we consider the possibility that the Higgs field plays the role of inflaton and that the dark matter is the Higgs-portal scalar field. We assume that the extended Standard Model is valid up to the string scale $10^{17}\text{GeV}$. (This translates to the assumption that all the non-minimal couplings are not particularly large, $\xi\lesssim 10^2$, as in the critical Higgs inflation, since $M_\text{P}/\sqrt{10^2}\sim 10^{17}\text{GeV}$.) We find a correlated theoretical bound on the tensor-to-scalar ratio $r$ and the dark matter mass $m_\text{DM}$. As a result, the Planck bound $r<0.09$ implies that the dark-matter mass must be smaller than 1.1TeV, while the PandaX-II bound on the dark-matter mass $m_\text{DM}>0.7\pm0.2\text{TeV}$ leads to $r\gtrsim 2\times10^{-3}$. Both are within the range of near-future detection. When we include the right-handed neutrinos of mass $M_\text{R}\sim 10^{14}$GeV, the allowed region becomes wider, but we still predict $r\gtrsim 10^{-3}$ in the most of the parameter space. The most conservative bound becomes $r>10^{-5}$ if we allow three-parameter tuning of $m_\text{DM}$, $M_\text{R}$, and the top-quark mass.Comment: Title, Abstract, and Introduction rewritten; references added; some other minor modifications; 31 pages, 12 figure

3Dバーチャルフィッティングソフトがパターンメーキング教育に与える影響

　3Dバーチャルフィッティングソフトは，コンピュータの画面上でボディに衣服を着用させる着装シミュレーションソフトで，縫製によるサンプルメーキング以前の段階で着装時のシルエットやディティールを確認することができる。　武庫川女子大学生活環境学部生活環境学科アパレルコースでは，平成30年度後期からアパレルCADを使用するパターンメーキングの授業で3Dバーチャルフィッティングソフトを使用した教育を開始した。本稿では，3Dバーチャルフィッティングソフトの導入によるアパレルCADの教育効果を検証した結果を報告する

オンデマンド教材を活用した「被服構成学実習」におけるハイブリッド授業の効果

　COVID-19 感染症パンデミックにより，多くの大学において，遠隔授業の実施を余儀なくされ，武庫川女子大学（以下，本学とする）においても令和2（2020）年度前期及び，令和3（2021）年度前期期間を中心として遠隔授業が実施された。　本稿では，武庫川女子大学 生活環境学部 生活環境学科 アパレルコース2 年生1)前期開講科目「アパレル構成学実習Ⅱ」において，回毎に対面授業，遠隔（オンデマンド型）授業の方法で実施方法を分けたブレンド型のハイブリット授業の実践から，その有効性を検証した内容について報告する