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The concept of custodial symmetry, a residual symmetry that protects physical observables from large quantum corrections, has been a cornerstone of high-energy physics, but its experimental observation has remained unexplored. Building on…

Mesoscale and Nanoscale Physics · Physics 2025-12-08 Wenhao Li , Junyao Wu , Ning Han , Rui Zhao , Fujia Chen , Yuang Pan , Yudong Ren , Hongsheng Chen , Zhen Gao , Ce Shang , Yihao Yang

In the Standard Model for electroweak interactions, the Higgs sector is known to display a "custodial" symmetry protecting the mass relation m_{W^\pm}^2=m_{W_3}^2 from large corrections. When considering extensions of the scalar sector,…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. -M. Gerard , M. Herquet

The topological phase of the Su-Schrieffer-Heeger (SSH) model is known to exhibit two edge states that are topologically protected by the chiral symmetry. We demonstrate that, for any parameter quench performed on the half-filled SSH chain,…

Mesoscale and Nanoscale Physics · Physics 2022-04-15 Lorenzo Rossi , Fausto Rossi , Fabrizio Dolcini

I study the scalar representations of the electroweak group of the Standard Model, which is a subgroup of the chiral group U(N)L x U(N)R with N flavours, for N even, with a special emphasis on their chiral properties and on their behaviour…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Machet

A particle-hole symmetry protected 2D non-Hermitian Su-Schrieffer-Heeger (SSH) model is investigated. This version differs from the usual Hermitian version by the inclusion of gain and/or loss terms which are represented by complex on-site…

Quantum Physics · Physics 2025-04-08 Udai Prakash Tyagi , Partha Goswami

We investigate precision observables sensitive to custodial symmetric/violating UV physics beyond the Standard Model. We use the SMEFT framework which in general includes non-oblique corrections that requires a generalization of the…

High Energy Physics - Phenomenology · Physics 2021-09-15 Graham D. Kribs , Xiaochuan Lu , Adam Martin , Tom Tong

The Supersymmetric Custodial Triplet Model (SCTM) adds to the particle content of the MSSM three $SU(2)_L$ triplet chiral superfields with hypercharge $Y=(0,\pm1)$. At the superpotential level the model respects a global $SU(2)_L \otimes…

High Energy Physics - Phenomenology · Physics 2015-08-19 Antonio Delgado , Mateo Garcia-Pepin , Bryan Ostdiek , Mariano Quiros

We analyze the extension of the Minimal Supersymmetric Standard Model which includes extra Y=(0,\pm 1) supersymmetric triplets with a global SU(2)_L \otimes SU(2)_R symmetry spontaneousy broken to the custodial SU(2)_V by the vacuum…

High Energy Physics - Phenomenology · Physics 2013-10-30 Luis Cort , Mateo Garcia , Mariano Quiros

I introduce the idea of "Custodial Naturalness" to explain the origin of the electroweak (EW) scale hierarchy. Custodial Naturalness is based on classical scale invariance as well as an extension of the Standard Model (SM) scalar sector…

High Energy Physics - Phenomenology · Physics 2025-05-14 Andreas Trautner

We study the interplay of spontaneous symmetry breaking and topological properties in interacting one-dimensional models. We solve these models using bozonization and identify topologically non-trivial phases by counting the additional…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Polina Matveeva , Dmitri Gutman , Sam T. Carr

Chiral symmetry provides the symmetry protection for a large class of topological edge states. It exists in non-Hermitian systems as well, and the same anti-commutation relation between the Hamiltonian and a linear chiral operator, i.e.,…

Quantum Physics · Physics 2021-01-27 Jose D. H. Rivero , Li Ge

Custodial Naturalness is a recently introduced idea that combines conformal and scalar-sector custodial symmetry to address the electroweak (EW) scale hierarchy problem of the Standard Model (SM). We introduce a new model that realizes…

High Energy Physics - Phenomenology · Physics 2025-08-01 Thede de Boer , Manfred Lindner , Andreas Trautner

We introduce a toy model implementing the proposal of using a custodial symmetry to protect the Z b_L bbar_L coupling from large corrections. This "doublet-extended standard model" adds a weak doublet of fermions (including a heavy partner…

High Energy Physics - Phenomenology · Physics 2017-08-23 R. Sekhar Chivukula , Stefano Di Chiara , Roshan Foadi , Elizabeth H. Simmons

A self-correcting quantum memory can store and protect quantum information for a time that increases without bound with the system size and without the need for active error correction. We demonstrate that symmetry can lead to…

Quantum Physics · Physics 2020-08-24 Sam Roberts , Stephen D. Bartlett

It is well known that the topology of Su-Schrieffer-Heeger(SSH) model, which belongs to AIII symmetry class, is protected by chiral symmetry. In this article, instead of chiral symmetry, we constrain the bulk Hamiltonian by a magnetic point…

Materials Science · Physics 2020-11-30 Chi-Ho Cheung , Jinyu Zou

We report an experimental study of the disordered Su-Schrieffer-Heeger (SSH) model, implemented in a system of coaxial cables, whose radio frequency properties map on to the SSH Hamiltonian. By measuring multiple chains with random hopping…

Disordered Systems and Neural Networks · Physics 2023-11-21 D. M. Whittaker , Maxine M. McCarthy , Qingqing Duan

The Su-Schrieffer-Heeger (SSH) chain is the reference model of a one-dimensional topological insulator. Its topological nature can be explained by the quantization of the Zak phase, due to reflection symmetry of the unit cell, or of the…

Mesoscale and Nanoscale Physics · Physics 2023-10-12 Malte Röntgen , Xuelong Chen , Wenlong Gao , Maxim Pyzh , Peter Schmelcher , Vincent Pagneux , Vassos Achilleos , Antonin Coutant

Custodial Naturalness is a new symmetry-based idea to explain the large separation between the electroweak (EW) scale and ultraviolet completions of the Standard Model (SM). Classical scale invariance is combined with an enhanced…

High Energy Physics - Phenomenology · Physics 2025-04-29 Thede de Boer , Manfred Lindner , Andreas Trautner

We study the emergence and disappearance of defect states in the complex Su-Schrieffer-Heeger (cSSH) model, a non-Hermitian one-dimensional lattice model containing gain and loss on alternating sites. Previous studies of this model have…

Mesoscale and Nanoscale Physics · Physics 2019-03-05 Li-Jun Lang , You Wang , Hailong Wang , Y. D. Chong

We show that the extension of the approximate custodial $SU(2)_{L+R}$ global symmetry to all the Yukawa interactions of the standard model Lagrangian implies the introduction of sterile right-handed neutrinos and the seesaw mechanism in…

High Energy Physics - Phenomenology · Physics 2015-06-25 J. C. Montero , V. Pleitez
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