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Chirally enhanced corrections to FCNC processes in the generic MSSM
High Energy Physics - Phenomenology · Submitted 30 Aug 2009
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our corrections substantially change the values of the parameters delta^{d,LL}_{23}, delta^{d,LR}_{23}, delta^{d,RL}_{23}, and delta^{d,RR}_{23} extracted from Br[B->X_s gamma] if tan(beta) is large.
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Chirally enhanced supersymmetric QCD corrections to FCNC processes are investigated in the framework of the MSSM with generic sources of flavor violation. These corrections arise from flavor-changing self-energy diagrams and can be absorbed into a finite renormalization of the squark-quark-gluino vertex. In this way enhanced two-loop and even three-loop diagrams can be efficiently included into a leading-order (LO) calculation. Our corrections substantially change the values of the parameters delta^{d,LL}_{23}, delta^{d,LR}_{23}, delta^{d,RL}_{23}, and delta^{d,RR}_{23} extracted from Br[B->X_s gamma] if tan(beta) is large. We find stronger (weaker) constraints compared to the LO result for negative (positive) values of mu. The constraints on delta^{d,LR,RL}_{13} and delta^{d,LR,RL}_{23} from B_d mixing and B_s mixing change drastically if the third-generation squark masses differ from those of the first two generations. K mixing is more strongly affected by the chirally enhanced loop diagrams and even sub-percent deviations from degenerate down and strange squark masses lead to profoundly stronger constraints on delta^{d,LR,RL}_{12}.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Chirally enhanced supersymmetric QCD corrections to FCNC processes are investigated in the framework of the MSSM with generic sources of flavor violation. | contribution 0.96 | 0.80 | 0.07 | asserted 0.91 |
| s1 | These corrections arise from flavor-changing self-energy diagrams and can be absorbed into a finite renormalization of the squark-quark-gluino vertex. | method 0.72 | 0.44 | 0.06 | asserted 1.00 |
| s2 | In this way enhanced two-loop and even three-loop diagrams can be efficiently included into a leading-order (LO) calculation. | method 0.92 | 0.56 | 0.11 | asserted 0.92 |
| s3 | Our corrections substantially change the values of the parameters delta^{d,LL}_{23}, delta^{d,LR}_{23}, delta^{d,RL}_{23}, and delta^{d,RR}_{23} extracted from Br[B->X_s gamma] if tan(beta) is large. | result 0.99 | 0.88 | 0.37 | asserted 1.00 |
| s4 | We find stronger (weaker) constraints compared to the LO result for negative (positive) values of mu. | result 0.98 | 0.96 | 0.17 | asserted 1.00 |
| s5 | The constraints on delta^{d,LR,RL}_{13} and delta^{d,LR,RL}_{23} from B_d mixing and B_s mixing change drastically if the third-generation squark masses differ from those of the first two generations. | result 1.00 | 0.84 | 0.13 | asserted 1.00 |
| s6 | K mixing is more strongly affected by the chirally enhanced loop diagrams and even sub-percent deviations from degenerate down and strange squark masses lead to profoundly stronger constraints on delta^{d,LR,RL}_{12}. | result 0.99 | 0.83 | 0.18 | asserted 1.00 |
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The paper
Original abstract
Chirally enhanced supersymmetric QCD corrections to FCNC processes are investigated in the framework of the MSSM with generic sources of flavor violation. These corrections arise from flavor-changing self-energy diagrams and can be absorbed into a finite renormalization of the squark-quark-gluino vertex. In this way enhanced two-loop and even three-loop diagrams can be efficiently included into a leading-order (LO) calculation. Our corrections substantially change the values of the parameters delta^{d,LL}_{23}, delta^{d,LR}_{23}, delta^{d,RL}_{23}, and delta^{d,RR}_{23} extracted from Br[B->X_s gamma] if tan(beta) is large. We find stronger (weaker) constraints compared to the LO result for negative (positive) values of mu. The constraints on delta^{d,LR,RL}_{13} and delta^{d,LR,RL}_{23} from B_d mixing and B_s mixing change drastically if the third-generation squark masses differ from those of the first two generations. K mixing is more strongly affected by the chirally enhanced loop diagrams and even sub-percent deviations from degenerate down and strange squark masses lead to profoundly stronger constraints on delta^{d,LR,RL}_{12}.
Human review
References
How the literature uses it
23 arXiv papers cite this in 29 sentences
Papers citing it · 21 sentences without a confident label
Cites it as background 8 papers
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In NMFV scenarios, some calculations have been performed at the one-loop level (see e.g. Refs. [ref] ), but the general contributions to $C_7$, $C_9$ and $(g-2)_μ$ are not known.
Flavour anomalies in supersymmetric scenarios with non-minimal flavour violation · Analytical calculations in NMFV-MSSM scenarios without approximation · 0.83
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For the analysis of the analogous effects in the general MSSM we refer to Ref. [ref] .
Gluino-mediated FCNCs in the MSSM with large tan(beta) · Flavour-changing gluino coupling in naive MFV at large tan$β$ · 0.80
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In addition, the couplings also depend on the bottom quark threshold corrections and the effect of these corrections have been the subject of many works especially in the large $$ regime [ref] .
Threshold Corrections to the Bottom Quark Mass Revisited · Higgs couplings to the bottom quark · 0.98
What it cites · 53 sentences without a confident label
Contests 1 paper
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Heff agrees with the result in Ref. [ref] and corrects two color factors in Eq. II.9 of Ref. [ref] .
Muon anomalous magnetic moment, lepton flavor violation, and flavor changing neutral current processes in SUSY GUT with right-handed neutrino · $ΔF=2$ processes · contest 0.87
Builds on 3 papers
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These self-energies have been analyzed in the context of charged-current processes in Ref. [ref] and this paper contains the complementary study of FCNC processes.
Supersymmetric renormalisation of the CKM matrix and new constraints on the squark mass matrices · Introduction · 0.93
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Ref. [ref] extended the study of Ref. [ref] by including the MFV effects.
Bounds on flavour violating parameters in supersymmetry · Introduction · 0.93
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Ref. [ref] extended the study of Ref. [ref] by including the MFV effects.
Gluino Contribution to Radiative B Decays: Organization of QCD Corrections and Leading Order Results · Introduction · 0.93
Uses the method or tool of 5 papers
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Calculations are easiest, however, if one absorbs the chirally enhanced corrections into the quark-squark-gluino vertex through unitary rotations $ΔU^q_A$ ($A=L,R$ denotes the chirality) in flavor space [ref] .
Supersymmetric renormalisation of the CKM matrix and new constraints on the squark mass matrices · One-loop renormalization of the quark-squark-gluino vertex · 0.94
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To incorporate the large logarithms from QCD we use the RG evolution computed in Refs. [ref] .
Master Formulae for Delta F=2 NLO-QCD Factors in the Standard Model and Beyond · $ΔF=2$ processes · 0.96
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To incorporate the large logarithms from QCD we use the RG evolution computed in Refs. [ref] .
B_d-Bbar_d Mixing and the B_d -> J/psi K_s Asymmetry in General SUSY Models · $ΔF=2$ processes · 0.96
Uses data or values from 6 papers
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For the theoretical prediction, the value of reference [ref] is used at the lower and upper end of the error range.
NNLO QCD corrections to the B -> X_s gamma matrix elements using interpolation in m_c · $B→X_sγ$ · 0.99
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tb < g r a p h i c s > < g r a p h i c s > Left: Allowed range for NP contributions to K mixing determined by the UTFit collaboration [ref] .
2000 CKM-Triangle Analysis A Critical Review with Updated Experimental Inputs and Theoretical Parameters · Section · 0.94
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tb < g r a p h i c s > < g r a p h i c s > Allowed range for NP-contributions to , $q=d,s$, in the $ϕ_B_q-C_B_q$ plane taken from the web update of Ref. [ref] .
First Evidence of New Physics in b <--> s Transitions · Section · 0.99
Compares with 5 papers
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Another important difference between Ref. [ref] and this paper concerns the definitions of the super-CKM basis and the mass insertion parameters: * We use the tree-level definition of the super-CKM basis (see Ref. [ref] ) which permits an analytical solution to the necessary all-order resummations of enhanced corrections.
New Higgs Effects in B--Physics in Supersymmetry with General Flavour Mixing · One-loop renormalization of the quark-squark-gluino vertex · 0.82
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Another important difference between Ref. [ref] and this paper concerns the definitions of the super-CKM basis and the mass insertion parameters: * We use the tree-level definition of the super-CKM basis (see Ref. [ref] ) which permits an analytical solution to the necessary all-order resummations of enhanced corrections.
Supersymmetric renormalisation of the CKM matrix and new constraints on the squark mass matrices · One-loop renormalization of the quark-squark-gluino vertex · 0.82
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We show how the renormalization of the quark-squark-gluino vertex affects the branching-ratio for different values of $μ$.[We find agreement of our LO Wilson coefficients with the gluino part given in Ref. [ref] .] Throughout this section we assume that $μ$ and the elements $Δ^q AB_ij$ with $AB=LL,LR,RL,RR$, of the squark mass matrices are real.
Bounds on flavour violating parameters in supersymmetry · $B→X_sγ$ · 0.97
Cites as support 1 paper
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In Ref. [ref] it has been shown that this idea complies with present-day data on FCNC processes.
Supersymmetric renormalisation of the CKM matrix and new constraints on the squark mass matrices · Conclusions · 0.97
Cites as background 14 papers
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We further recall that the contributions from the dimension-six operators $O_7b,g̃$ and $O_8b,g̃$ (defined according to Ref. [ref] ) are suppressed by a factor of $M_SUSY/μtanβ$ compared to the contributions from $O_7g̃$ and $O_8g̃$.
Gluino Contribution to Radiative B Decays: Organization of QCD Corrections and Leading Order Results · $B→X_sγ$ · 0.80
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[ref] FCNC data (on B mixing, K mixing, $μ→eγ$ and $b→sγ$) were used to constrain the off-diagonal elements of the sfermion mass matrices, while the diagonal ones were constrained from the electric dipole moments (and from a fine tuning argument).
A complete analysis of FCNC and CP constraints in general SUSY extensions of the standard model · Introduction · 0.93
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For a detailed discussion of the relation between Yukawa couplings and quark masses for different renormalization schemes see Ref. [ref] .
Resummation of tan-beta-enhanced supersymmetric loop corrections beyond the decoupling limit · One-loop renormalization of the quark-squark-gluino vertex · 0.98
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