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Flavour constraints on scenarios with two or three heavy squark generations
High Energy Physics - Phenomenology · Submitted 12 Jul 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim While it is not possible to perform a general analysis, we assess the relevance of each kind of flavour- and CP-violating parameters.
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The abstract, sentence by sentence
We re-assess constraints from flavour-changing neutral currents in the kaon system on supersymmetric scenarios with a light gluino, two heavy generations of squarks and a lighter third generation. We compute for the first time limits in scenarios with three heavy squark families, taking into account QCD corrections at the next-to-leading order. We compare our limits with those in the case of two heavy families. We use the mass insertion approximation and consider contributions from gluino exchange to constrain the mixing between the first and second squark generation. While it is not possible to perform a general analysis, we assess the relevance of each kind of flavour- and CP-violating parameters. We also provide ready to use magic numbers for the computation of the Wilson coefficients at 2 GeV for these scenarios.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We re-assess constraints from flavour-changing neutral currents in the kaon system on supersymmetric scenarios with a light gluino, two heavy generations of squarks and a lighter third generation. | contribution 0.90 | 0.83 | 0.08 | asserted 0.95 |
| s1 | We compute for the first time limits in scenarios with three heavy squark families, taking into account QCD corrections at the next-to-leading order. | contribution 0.98 | 0.96 | 0.11 | asserted 1.00 |
| s2 | We compare our limits with those in the case of two heavy families. | contribution 0.80 | 0.88 | 0.06 | asserted 0.92 |
| s3 | We use the mass insertion approximation and consider contributions from gluino exchange to constrain the mixing between the first and second squark generation. | method 0.99 | 0.90 | 0.05 | asserted 0.98 |
| s4 | While it is not possible to perform a general analysis, we assess the relevance of each kind of flavour- and CP-violating parameters. | limitation 0.96 | 0.84 | 0.09 | asserted 0.84 |
| s5 | We also provide ready to use magic numbers for the computation of the Wilson coefficients at 2 GeV for these scenarios. | contribution 0.84 | 0.93 | 0.08 | asserted 1.00 |
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The paper
Original abstract
We re-assess constraints from flavour-changing neutral currents in the kaon system on supersymmetric scenarios with a light gluino, two heavy generations of squarks and a lighter third generation. We compute for the first time limits in scenarios with three heavy squark families, taking into account QCD corrections at the next-to-leading order. We compare our limits with those in the case of two heavy families. We use the mass insertion approximation and consider contributions from gluino exchange to constrain the mixing between the first and second squark generation. While it is not possible to perform a general analysis, we assess the relevance of each kind of flavour- and CP-violating parameters. We also provide ready to use magic numbers for the computation of the Wilson coefficients at 2 GeV for these scenarios.
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References
How the literature uses it
10 arXiv papers cite this in 14 sentences
Papers citing it · 11 sentences without a confident label
Builds on it 1 paper
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Then, according to the motivations above, what do here, as a complement of [ref] , is to * Assess the importance of considering NLO effects in setting the limits of the masses of d type squarks and the flavour violating parameters $(δ^d_XY)_12$ for the case of three heavy squarks families and a light gluino. * Check that the values of squarks masses, in the range considered, and the real parts of $(δ^d_XY)_12$ satisfy the bounds set by $Δm_K$. * Put constraints on the imaginary parts of $(δ^d_XY)_12$.
Gluinos lighter than squarks and detection at the LHC · Limits from kaon physics · 1.00
Uses its method or tool 1 paper
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We use the NLO QCD expressions obtained in [ref] .
Dirac vs Majorana gauginos at a 100 TeV collider · Flavour and CP violation · 0.80
Cites it as background 1 paper
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The effects of such a split squark spectrum on flavour observables have already been investigated in [ref] (see also [ref] for some recent discussions on FCNCs in selected models with light third generation squarks).
The Flavour of Natural SUSY · Introduction · 0.94
What it cites · 49 sentences without a confident label
Contests 2 papers
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Therefore, the limits shown in fig:cases3h are different from those in [ref] .
The Supersymmetric Flavor Problem for Heavy First-Two Generation Scalars at Next-to-Leading Order · Numerical results · contest 0.76
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The main reason seems to be that $𝒪(α_s^2)$ terms were not discarded in [ref] .
Delta M_K and epsilon_K in SUSY at the Next-to-Leading order · Evolution between squark and gluino mass scales · contest 0.86
Uses the method or tool of 4 papers
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The gluino contribution is [equation] with $H_g̃^ΔS=2$ as given in eq:DeltamK and a correction factor $κ_ϵ$ [ref] .
Correlations among new CP violating effects in Delta F = 2 observables · Limits from $ϵ$ · 0.80
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In order to estimate the gluino contributions to $Δm_K$ and the CP-violating parameter $ϵ$, we used the evolution of Wilson coefficients from reference [ref] , where a scenario with two heavy families of squarks and a lighter third family with a mass comparable to that of the gluino was considered.
The Supersymmetric Flavor Problem for Heavy First-Two Generation Scalars at Next-to-Leading Order · Conclusions · 0.91
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We transform to the running mass $M_3(m_g̃)$, taking into account one-loop corrections [ref] involving gluinos and (if applicable) one generation of squarks with mass $m_g̃$, [equation] In the case of three heavy generations of squarks, we run using the $β$ functions of eq:betafuncts_3heavysquarks.
Precision Corrections in the Minimal Supersymmetric Standard Model · Evolution between squark and gluino mass scales · 0.89
Uses data or values from 11 papers
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These expressions differ by a factor of $1/8 M_K$ from the corresponding ones in the lattice study [ref] , whose results for the bag parameters $B_i$ we use.
Kaon Mixing Beyond the SM from Nf=2 tmQCD and model independent constraints from the UTA · Limits from $Δm_K$ · 0.91
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Hence, the best one can do is to compare the best estimate obtained from the short-distance contributions [ref] , denoted by $Δm_K^SD$, to the experimental value Δm_K^exp = (3.483 ±0.0059)×10^-15 , Δm_K^SD = (3.1 ±1.2)×10^-15 ,
Next-to-Next-to-Leading-Order Charm-Quark Contribution to the CP Violation Parameter epsilon_K and Delta M_K · Limits from $Δm_K$ · 0.97
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We use the same value $κ_ϵ=0.923$ [ref] as [ref] .
The $K\to(\pi\pi)_{I=2}$ Decay Amplitude from Lattice QCD · Limits from $ϵ$ · 0.98
Compares with 4 papers
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The plots in fig:cases3h serve mainly (i) for comparison to Figs. 1 and 2 of [ref] [This is why we also plotted values of $m_g̃$ lower than the LHC bound around $900$. ], (ii) to re-assess the importance of the NLO QCD corrections and (iii) to understand the difference between the scenarios with two and three heavy families of squarks.
The Supersymmetric Flavor Problem for Heavy First-Two Generation Scalars at Next-to-Leading Order · Numerical results · 1.00
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This work uses the same state normalization as [ref] , as one can verify by comparing their definitions of operators and matrix elements, taking into account that the kaon decay constant is normalized differently ($f_K$ of [ref] corresponds to $√(2) F_K$ of [ref] ).] The definition [ref] ensures that the numerical values of the bag parameters are the same in both conventions.
Kaon Mixing Beyond the SM from Nf=2 tmQCD and model independent constraints from the UTA · Limits from $Δm_K$ · 0.80
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This work uses the same state normalization as [ref] , as one can verify by comparing their definitions of operators and matrix elements, taking into account that the kaon decay constant is normalized differently ($f_K$ of [ref] corresponds to $√(2) F_K$ of [ref] ).] The definition [ref] ensures that the numerical values of the bag parameters are the same in both conventions.
K^0-\bar K^0 mixing beyond the standard model and CP-violating electroweak penguins in quenched QCD with exact chiral symmetry · Limits from $Δm_K$ · 0.80
Cites as support 1 paper
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We have also noticed that indeed the NLO QCD evolution, as opposed to just the LO evolution, proves relevant, especially for cases where there is more than one type of flavour-violating parameter $(δ^d_XY)_12$ involved [ref] .
The Supersymmetric Flavor Problem for Heavy First-Two Generation Scalars at Next-to-Leading Order · Conclusions · 0.98
Cites as background 5 papers
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Studies of the QCD corrections in such setups, in particular for two heavy families, were performed in [ref] , [ref] and [ref] .
Minimal Flavour Violation with hierarchical squark masses · Introduction · 0.81
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Studies of the QCD corrections in such setups, in particular for two heavy families, were performed in [ref] , [ref] and [ref] .
On the QCD corrections to Delta F=2 FCNC in the Supersymmetric SM with hierarchical squark masses · Introduction · 0.81
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More recently, [ref] discussed specific patterns of family symmetry breaking with hierarchical squarks.
Natural SUSY and Kaon Mixing in view of recent results from Lattice QCD · Introduction · 0.81
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