Progress on lattice studies of SU(2) gauge-Higgs theories

Guilherme Catumba¹, Atsuki Hiraguchi^2,3, Wei-Shu Hou⁴, Karl Jansen⁵, Ying-Jer Kao^4,6, C.-J. David Lin^2,7, Alberto Ramos¹, Mugdha Sarkar^2,4*

¹Instituto de Fı́sica Corpuscular, CSIC-Universitat de Valencia, Valencia, Spain
²Institute of Physics, National Yang Ming Chiao Tung University, Hsinchu, Taiwan
³CCSE, Japan Atomic Energy Agency, Wakashiba, Kashiwa, Chiba, Japan
⁴Department of Physics, National Taiwan University, Taipei, Taiwan
⁵Deutsches Elektronen-Synchrotron DESY, Zeuthen, Germany
⁶Center for Theoretical Physics and Center for Quantum Science and Technology, National Taiwan University, Taipei, Taiwan
⁷Center for High Energy Physics, Chung-Yuan Christian University, Chung-Li, Taiwan

* Presenter:Mugdha Sarkar, email:mugdha.sarkar@gmail.com

We present the update on our lattice studies of SU(2) gauge-Higgs theories. We study two models, one a 4D SU(2) gauge theory with two Higgs fields in the fundamental representation, and another, a 3D SU(2) gauge theory coupled to four adjoint Higgs fields. The first theory corresponds to an extension of the Higgs sector of the Standard Model (SM) popularly known as the Two Higgs Doublet Model. We present results on the spectrum and the running of the gauge coupling on a line of constant SM physics. We provide evidence of additional beyond-SM scalar states which can have masses well below the W boson.

The second theory is phenomenologically important as an effective theory to explain aspects of the pseudogap phase of cuprate superconductors. We present results on the phase diagram which qualitatively confirm earlier mean-field predictions. We further study the confinement-deconfinement transitions and find peculiar behavior for the order parameter, the Polyakov loop, across the transitions.

Keywords: Beyond Standard Model, Cuprate superconductors, Lattice gauge theory