BROWSE

Related Scientist

CTPU's photo.

CTPU
순수물리이론 연구단
more info

ITEM VIEW & DOWNLOAD

Modular symmetry in the SMEFT

Cited 0 time in webofscience Cited 0 time in scopus
143 Viewed 0 Downloaded
Title
Modular symmetry in the SMEFT
Author(s)
Tatsuo Kobayashi; Hajime Otsuka; Morimitsu Tanimoto; Kei Yamamoto
Publication Date
2022-03
Journal
Physical Review D, v.105, no.5
Publisher
American Physical Society
Abstract
© 2022 authors. Published by the American Physical Society.We study the modular symmetric standard model effective field theory. We employ the stringy Ansatz on coupling structure that 4-point couplings y(4) of matter fields are written by a product of 3-point couplings y(3) of matter fields, i.e., y(4)=y(3)y(3). In this framework, we discuss the flavor structure of bilinear fermion operators and 4-fermion operators, where the holomorphic and antiholomorphic modular forms appear. From the Ansatz, the A4 modular-invariant semileptonic four-fermion operator [ĒRΓER][D¯RΓDR] does not lead to the flavor changing (FC) processes since this operator would be constructed in terms of gauge couplings g as y(3)∼g. The chirality flipped bilinear operator [D¯RΓDL] also does not lead FC if the mediated mode corresponds to the Higgs boson Hd. In this case, the flavor structure of this operator is the exactly same as the mass matrix. On the other hand, if the flavor structure of the operator is not the exactly same as the mass matrix, the situation would change drastically. Then, we obtain the nontrivial relations of FC transitions at nearby fixed points τ=i,ω,i∞, which are testable in the future. As an application, we discuss the relations of the lepton flavor violation processes μ→eγ,τ→μγ and τ→eγ at nearby τe=i, where the successful lepton mass matrix was obtained. We also study the flavor changing 4-quark operators in the A4 modular symmetry of quarks. As a result, the minimal flavor violation could be realized by taking relevant specific parameter sets of order one.
URI
https://pr.ibs.re.kr/handle/8788114/11449
DOI
10.1103/PhysRevD.105.055022
ISSN
2470-0010
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > 1. Journal Papers (저널논문)
Files in This Item:
There are no files associated with this item.

qrcode

  • facebook

    twitter

  • Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
해당 아이템을 이메일로 공유하기 원하시면 인증을 거치시기 바랍니다.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse