Physical constraints derived from FCNC in the 3-3-1-1 model

Duy Nguyen Tuan (Institute of Physics, VAST, 10 Dao Tan, Ba Dinh, Hanoi, Vietnam; Graduate University of Science and Technology, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam) ; Takeo Inami (Institute of Physics, VAST, 10 Dao Tan, Ba Dinh, Hanoi, Vietnam; Theoretical Research Division, Nishina Center, RIKEN, Wako, 351-0198, Japan) ; Huong Do Thi (Institute of Physics, VAST, 10 Dao Tan, Ba Dinh, Hanoi, Vietnam)

We investigate several phenomena related to FCNCs in the $$\text {3-3-1-1}$$ 3-3-1-1 model. The sources of FCNCs at the tree-level from both the gauge and Higgs sectors are clarified. Experiments on the oscillation of mesons most stringently constrain the tree-level FCNCs. The lower bound on the new physics scale is imposed more tightly than in the previous, $$\text {M}_{\text {new}}>12 $$ M new > 12 TeV. Under this bound, the tree-level FCNCs make a negligible contribution to the $$\text {Br}(B_s \rightarrow \mu ^+ \mu ^-)$$ Br ( B s μ + μ - ) , $$\text {Br}(B \rightarrow K^{*} \mu ^+ \mu ^-)$$ Br ( B K μ + μ - ) and $$\text {Br}(B^{+}\rightarrow K^{+}\mu ^{+}\mu ^{-})$$ Br ( B + K + μ + μ - ) . The branching ratio of radiative decay $$b \rightarrow s \gamma $$ b s γ is enhanced by the ratio $$\frac{v}{u}$$ v u via diagrams with the charged Higgs mediation. In contrast, the charged currents of new gauge bosons significantly contribute to the decay process $$\mu \rightarrow e \gamma $$ μ e γ .

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      "surname": "Inami", 
      "given_names": "Takeo", 
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      "surname": "Do Thi", 
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      "source": "Springer", 
      "value": "We investigate several phenomena related to FCNCs in the  $$\\text {3-3-1-1}$$  <math> <mtext>3-3-1-1</mtext> </math>   model. The sources of FCNCs at the tree-level from both the gauge and Higgs sectors are clarified. Experiments on the oscillation of mesons most stringently constrain the tree-level FCNCs. The lower bound on the new physics scale is imposed more tightly than in the previous,  $$\\text {M}_{\\text {new}}&gt;12 $$  <math> <mrow> <msub> <mtext>M</mtext> <mtext>new</mtext> </msub> <mo>&gt;</mo> <mn>12</mn> </mrow> </math>   TeV. Under this bound, the tree-level FCNCs make a negligible contribution to the  $$\\text {Br}(B_s \\rightarrow \\mu ^+ \\mu ^-)$$  <math> <mrow> <mtext>Br</mtext> <mo>(</mo> <msub> <mi>B</mi> <mi>s</mi> </msub> <mo>\u2192</mo> <msup> <mi>\u03bc</mi> <mo>+</mo> </msup> <msup> <mi>\u03bc</mi> <mo>-</mo> </msup> <mo>)</mo> </mrow> </math>  ,  $$\\text {Br}(B \\rightarrow K^{*} \\mu ^+ \\mu ^-)$$  <math> <mrow> <mtext>Br</mtext> <mo>(</mo> <mi>B</mi> <mo>\u2192</mo> <msup> <mi>K</mi> <mrow> <mrow></mrow> <mo>\u2217</mo> </mrow> </msup> <msup> <mi>\u03bc</mi> <mo>+</mo> </msup> <msup> <mi>\u03bc</mi> <mo>-</mo> </msup> <mo>)</mo> </mrow> </math>   and  $$\\text {Br}(B^{+}\\rightarrow K^{+}\\mu ^{+}\\mu ^{-})$$  <math> <mrow> <mtext>Br</mtext> <mo>(</mo> <msup> <mi>B</mi> <mo>+</mo> </msup> <mo>\u2192</mo> <msup> <mi>K</mi> <mo>+</mo> </msup> <msup> <mi>\u03bc</mi> <mo>+</mo> </msup> <msup> <mi>\u03bc</mi> <mo>-</mo> </msup> <mo>)</mo> </mrow> </math>  . The branching ratio of radiative decay  $$b \\rightarrow s \\gamma $$  <math> <mrow> <mi>b</mi> <mo>\u2192</mo> <mi>s</mi> <mi>\u03b3</mi> </mrow> </math>   is enhanced by the ratio  $$\\frac{v}{u}$$  <math> <mfrac> <mi>v</mi> <mi>u</mi> </mfrac> </math>   via diagrams with the charged Higgs mediation. In contrast, the charged currents of new gauge bosons significantly contribute to the decay process  $$\\mu \\rightarrow e \\gamma $$  <math> <mrow> <mi>\u03bc</mi> <mo>\u2192</mo> <mi>e</mi> <mi>\u03b3</mi> </mrow> </math>  ."
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Published on:
14 September 2021
Publisher:
Springer
Published in:
European Physical Journal C , Volume 81 (2021)
Issue 9
Pages 1-16
DOI:
https://doi.org/10.1140/epjc/s10052-021-09583-x
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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