125 GeV Higgs boson rare decays in a flavor-dependent <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi>U</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mn>1</mml:mn> <mml:msub> <mml:mo stretchy="false">)</mml:mo>

In this work, we analyze the Higgs boson decay channels, specifically, <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi>h</a:mi> <a:mo stretchy="false">→</a:mo> <a:mi>γ</a:mi> <a:mi>γ</a:mi> </a:math> , <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"> <d:mi>h</d:mi> <d:mo stretchy="false">→</d:mo> <d:mi>V</d:mi> <d:msup> <d:mi>V</d:mi> <d:mo>*</d:mo> </d:msup> </d:math> (with <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:mrow> <g:mi>V</g:mi> <g:mo>=</g:mo> <g:mi>Z</g:mi> </g:mrow> </g:math> , <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:mrow> <i:mi>W</i:mi> </i:mrow> </i:math> ), and <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"> <k:mi>h</k:mi> <k:mo stretchy="false">→</k:mo> <k:mi>f</k:mi> <k:mover accent="true"> <k:mi>f</k:mi> <k:mo stretchy="false">¯</k:mo> </k:mover> </k:math> (for <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"> <p:mi>f</p:mi> <p:mo>=</p:mo> <p:mi>b</p:mi> </p:math> , <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"> <r:mrow> <r:mi>c</r:mi> </r:mrow> </r:math> , <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"> <t:mrow> <t:mi>τ</t:mi> </t:mrow> </t:math> ) within the flavor-dependent <v:math xmlns:v="http://www.w3.org/1998/Math/MathML" display="inline"> <v:mi>U</v:mi> <v:mo stretchy="false">(</v:mo> <v:mn>1</v:mn> <v:msub> <v:mo stretchy="false">)</v:mo> <v:mi>F</v:mi> </v:msub> </v:math> model (FDM). We also investigate processes induced by flavor-changing neutral currents, including the decays <z:math xmlns:z="http://www.w3.org/1998/Math/MathML" display="inline"> <z:mover accent="true"> <z:mi>B</z:mi> <z:mo stretchy="false">¯</z:mo> </z:mover> <z:mo stretchy="false">→</z:mo> <z:msub> <z:mi>X</z:mi> <z:mi>s</z:mi> </z:msub> <z:mi>γ</z:mi> </z:math> and <eb:math xmlns:eb="http://www.w3.org/1998/Math/MathML" display="inline"> <eb:msubsup> <eb:mi>B</eb:mi> <eb:mi>s</eb:mi> <eb:mn>0</eb:mn> </eb:msubsup> <eb:mo stretchy="false">→</eb:mo> <eb:msup> <eb:mi>μ</eb:mi> <eb:mo>+</eb:mo> </eb:msup> <eb:msup> <eb:mi>μ</eb:mi> <eb:mo>−</eb:mo> </eb:msup> </eb:math> , the top quark decays <hb:math xmlns:hb="http://www.w3.org/1998/Math/MathML" display="inline"> <hb:mi>t</hb:mi> <hb:mo stretchy="false">→</hb:mo> <hb:mi>c</hb:mi> <hb:mi>h</hb:mi> </hb:math> and <kb:math xmlns:kb="http://www.w3.org/1998/Math/MathML" display="inline"> <kb:mi>t</kb:mi> <kb:mo stretchy="false">→</kb:mo> <kb:mi>u</kb:mi> <kb:mi>h</kb:mi> </kb:math> , and the lepton flavor-violating decays <nb:math xmlns:nb="http://www.w3.org/1998/Math/MathML" display="inline"> <nb:mi>τ</nb:mi> <nb:mo stretchy="false">→</nb:mo> <nb:mn>3</nb:mn> <nb:mi>e</nb:mi> </nb:math> , <qb:math xmlns:qb="http://www.w3.org/1998/Math/MathML" display="inline"> <qb:mi>τ</qb:mi> <qb:mo stretchy="false">→</qb:mo> <qb:mn>3</qb:mn> <qb:mi>μ</qb:mi> </qb:math> , and <tb:math xmlns:tb="http://www.w3.org/1998/Math/MathML" display="inline"> <tb:mi>μ</tb:mi> <tb:mo stretchy="false">→</tb:mo> <tb:mn>3</tb:mn> <tb:mi>e</tb:mi> </tb:math> . Furthermore, we incorporate the electroweak precision observables constraints via the S, T, and U parameters. Compared to the Standard Model, the scalar sector of the FDM is extended by two Higgs doublets and one Higgs singlet, which affects the 125 GeV Higgs properties significantly. Meanwhile, the decays <wb:math xmlns:wb="http://www.w3.org/1998/Math/MathML" display="inline"> <wb:mi>h</wb:mi> <wb:mo stretchy="false">→</wb:mo> <wb:mi>Z</wb:mi> <wb:mi>γ</wb:mi> </wb:math> , <zb:math xmlns:zb="http://www.w3.org/1998/Math/MathML" display="inline"> <zb:mi>h</zb:mi> <zb:mo stretchy="false">→</zb:mo> <zb:mi>M</zb:mi> <zb:mi>Z</zb:mi> </zb:math> , and <cc:math xmlns:cc="http://www.w3.org/1998/Math/MathML" display="inline"> <cc:mi>h</cc:mi> <cc:mo stretchy="false">→</cc:mo> <cc:mi>M</cc:mi> <cc:mi>γ</cc:mi> </cc:math> [where <fc:math xmlns:fc="http://www.w3.org/1998/Math/MathML" display="inline"> <fc:mi>M</fc:mi> </fc:math> is a vector meson <hc:math xmlns:hc="http://www.w3.org/1998/Math/MathML" display="inline"> <hc:mo stretchy="false">(</hc:mo> <hc:mi>ρ</hc:mi> <hc:mo>,</hc:mo> <hc:mi>ω</hc:mi> <hc:mo>,</hc:mo> <hc:mi>ϕ</hc:mi> <hc:mo>,</hc:mo> <hc:mi>J</hc:mi> <hc:mo>/</hc:mo> <hc:mi mathvariant="normal">Ψ</hc:mi> <hc:mo>,</hc:mo> <hc:mi mathvariant="normal">ϒ</hc:mi> <hc:mo stretchy="false">)</hc:mo> </hc:math> ] of the Standard-Model-like Higgs are studied, and we illustrate how changes in the scalar sector and the Yukawa coupling influence the signal strengths for the 125 GeV Higgs decay channels and the Higgs mass in the FDM.