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Explaining the $R_{K^{(*)}}$ anomalies and the CDF $M_W$ in Flavorful Top Seesaw Models with Gauged $U(1)_{L(-R)}$
High Energy Physics - Phenomenology · Submitted 24 Oct 2022
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Based on the assumptions, a TeV-scale $Z'$ boson is still viable and can be probed in the near future.
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The abstract, sentence by sentence
A new heavy $Z'$ vector boson provides a possible explanation for the neutral current B anomalies and points to the scale where we expect the solution to the hierarchy problem to appear. In this paper, we explore a modified Top Seesaw model based on the global symmetry breaking of $U(3)_L$ to $U(2)_L$. The symmetry is partially gauged such that the breaking introduces not only a composite Higgs doublet but also a TeV-scale $Z'$ boson. The $U(3)_L/U(2)_L$ Top Seesaw model predicts a light Higgs boson as well as a large top Yukawa coupling. Additional $U(1)'$ symmetry is gauged such that a flavorful TeV-scale $Z'$ boson is introduced to address the B anomalies. The existence of a heavy vector-like top quark and $Z-Z'$ mixing breaks the custodial symmetry, which predicts a heavier $W$ mass as observed by the CDF collaboration. Two possible candidates for the $U(1)'$ symmetry corresponding to the $Z'$ boson, $U(1)_L$ and $U(1)_{L-R}$, are discussed in detail. The parameter space for the models to address both anomalies is presented. The direct searches of the $Z'$ boson from dilepton channels are also studied. Based on the assumptions, a TeV-scale $Z'$ boson is still viable and can be probed in the near future.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A new heavy $Z'$ vector boson provides a possible explanation for the neutral current B anomalies and points to the scale where we expect the solution to the hierarchy problem to appear. | background 0.94 | 0.11 | 0.27 | hedged possibility 1.00 |
| s1 | In this paper, we explore a modified Top Seesaw model based on the global symmetry breaking of $U(3)_L$ to $U(2)_L$. | contribution 0.76 | 0.75 | 0.04 | asserted 0.97 |
| s2 | The symmetry is partially gauged such that the breaking introduces not only a composite Higgs doublet but also a TeV-scale $Z'$ boson. | method 0.61 | 0.43 | 0.07 | asserted 1.00 |
| s3 | The $U(3)_L/U(2)_L$ Top Seesaw model predicts a light Higgs boson as well as a large top Yukawa coupling. | result 0.62 | 0.50 | 0.05 | asserted 1.00 |
| s4 | Additional $U(1)'$ symmetry is gauged such that a flavorful TeV-scale $Z'$ boson is introduced to address the B anomalies. | method 0.56 | 0.49 | 0.09 | asserted 1.00 |
| s5 | The existence of a heavy vector-like top quark and $Z-Z'$ mixing breaks the custodial symmetry, which predicts a heavier $W$ mass as observed by the CDF collaboration. | result 0.48 | 0.48 | 0.16 | asserted 0.99 |
| s6 | Two possible candidates for the $U(1)'$ symmetry corresponding to the $Z'$ boson, $U(1)_L$ and $U(1)_{L-R}$, are discussed in detail. | contribution 0.75 | 0.72 | 0.05 | asserted 0.83 |
| s7 | The parameter space for the models to address both anomalies is presented. | contribution 0.75 | 0.86 | 0.09 | asserted 0.90 |
| s8 | The direct searches of the $Z'$ boson from dilepton channels are also studied. | contribution 0.86 | 0.83 | 0.04 | asserted 0.97 |
| s9 | Based on the assumptions, a TeV-scale $Z'$ boson is still viable and can be probed in the near future. | interpretation 0.44 | 0.72 | 0.60 | hedged possibility 0.59 |
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The paper
Original abstract
A new heavy $Z'$ vector boson provides a possible explanation for the neutral current B anomalies and points to the scale where we expect the solution to the hierarchy problem to appear. In this paper, we explore a modified Top Seesaw model based on the global symmetry breaking of $U(3)_L$ to $U(2)_L$. The symmetry is partially gauged such that the breaking introduces not only a composite Higgs doublet but also a TeV-scale $Z'$ boson. The $U(3)_L/U(2)_L$ Top Seesaw model predicts a light Higgs boson as well as a large top Yukawa coupling. Additional $U(1)'$ symmetry is gauged such that a flavorful TeV-scale $Z'$ boson is introduced to address the B anomalies. The existence of a heavy vector-like top quark and $Z-Z'$ mixing breaks the custodial symmetry, which predicts a heavier $W$ mass as observed by the CDF collaboration. Two possible candidates for the $U(1)'$ symmetry corresponding to the $Z'$ boson, $U(1)_L$ and $U(1)_{L-R}$, are discussed in detail. The parameter space for the models to address both anomalies is presented. The direct searches of the $Z'$ boson from dilepton channels are also studied. Based on the assumptions, a TeV-scale $Z'$ boson is still viable and can be probed in the near future.
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How the literature uses it
3 arXiv papers cite this in 3 sentences
Papers citing it · 1 sentence without a confident label
Cites it as background 2 papers
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The possible new physics explanations of this discrepancy have been extensively studied afterwards [ref] .
Accommodating the CDF W-boson Mass Measurement in the Beautiful Mirror Model · Introduction · 0.99
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In the literature, there have already been many BSM attempts [ref] to explain the $M_W$ discrepancy.
$W$-Boson Mass Anomaly from a General $SU(2)_{L}$ Scalar Multiplet · Introduction · 0.92
What it cites · 63 sentences without a confident label
Uses the method or tool of 3 papers
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To analyze the full parameter space in the $f'$ v.s. $ϵ_μμ$ plane, we follow the method used in [ref] , which allows us to transform it to the constraints on $f'$ v.s. $M_Z'$ plane - the two most important parameters for our $Z'$ boson.
A Flavorful Composite Higgs Model : Connecting the B anomalies with the hierarchy problem · The $Z'$ boson of $U(1)_L$ gauge symmetry · 1.00
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To analyze the full parameter space in the $f'$ v.s. $ϵ_μμ$ plane, we follow the method used in [ref] , which allows us to transform it to the constraints on $f'$ v.s. $M_Z'$ plane - the two most important parameters for our $Z'$ boson.
Explaining the $R_{K^{(*)}}$ anomalies in a Fundamental Composite Higgs Model with Gauged $U(1)_{SM_3-HB}$ · The $Z'$ boson of $U(1)_L$ gauge symmetry · 1.00
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For a realistic potential to realize the desired mechanism, we follow the construction in [ref] .
Higgs mass from compositeness at a multi-TeV scale · Scalar potential and vacuum structure · 0.93
Uses data or values from 4 papers
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The current bound by the $μμ$ search of ATLAS [ref] with an integrated luminosity of 139 fb$^-1$ is given by $M_Z'≳1250$ GeV, which is shown as the blue line in the figure (left).
Search for high-mass dilepton resonances using 139 fb$^{-1}$ of $pp$ collision data collected at $\sqrt{s}=$13 TeV with the ATLAS detector · The $Z'$ boson of $U(1)_L$ gauge symmetry · 0.99
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Comparing the cross section for each channel derived from the parameter space with the experimental results, $μτ$ search taken from the CMS [ref] with an integrated luminosity of 137 fb$^-1$ and $ττ$ search taken from the ATLAS [ref] with an integrated luminosity of 139 fb$^-1$, we get the purple shaded region with a dashed line and a dotted line excluded by $μτ$ search and $ττ$ search respectively.
Search for heavy Higgs bosons decaying into two tau leptons with the ATLAS detector using $pp$ collisions at $\sqrt{s}=13$ TeV · The $Z'$ boson of $U(1)_L$ gauge symmetry · 0.95
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If we only consider the clean observables, the global fit value for the Wilson coefficient $C_LL$ is given by [ref] [equation] which requires
New Physics in Rare B Decays after Moriond 2021 · Neutral Current B Anomalies · 0.97
Compares with 2 papers
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This ratio is an important prediction of our $Z'$ model.[The ratio happens to be the same as the ratio in the $Z'$ model of [ref] , where the $Z'$ boson has a vector-like universal coupling with all the thrid-generation SM fermions in the flavor basis.
Explaining the $R_{K^{(*)}}$ anomalies in a Fundamental Composite Higgs Model with Gauged $U(1)_{SM_3-HB}$ · The $Z'$ boson of $U(1)_L$ gauge symmetry · 0.95
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This ratio is an important prediction of our $Z'$ model.[The ratio happens to be the same as the ratio in the $Z'$ model of [ref] , where the $Z'$ boson has a vector-like universal coupling with all the thrid-generation SM fermions in the flavor basis.
A Flavorful Composite Higgs Model : Connecting the B anomalies with the hierarchy problem · The $Z'$ boson of $U(1)_L$ gauge symmetry · 0.95
Cites as background 22 papers
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Many analyses on the oblique parameters based on the new $M_W$ measured by the CDF collaboration have been conducted [ref] .
Electroweak Precision Fit and New Physics in light of $W$ Boson Mass · The CDF $W$ mass and the constraint on the scale $f$ · 0.86
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Many analyses on the oblique parameters based on the new $M_W$ measured by the CDF collaboration have been conducted [ref] .
Interpreting electroweak precision data including the $W$-mass CDF anomaly · The CDF $W$ mass and the constraint on the scale $f$ · 0.86
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Many analyses on the oblique parameters based on the new $M_W$ measured by the CDF collaboration have been conducted [ref] .
Oblique Lessons from the $W$ Mass Measurement at CDF II · The CDF $W$ mass and the constraint on the scale $f$ · 0.86
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