Mass insertions vs. mass eigenstates calculations in flavour physics

Dedes, Athanasios; Rosiek, Janusz; Suxho, K.; Tamvakis, K.

doi:10.1007/jhep06(2015)151

Cited by 28 publications

(49 citation statements)

References 38 publications

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“…Recent studies have additionally shown that the MIA results can alternatively be also obtained if one expands properly the starting expressions in the mass basis [52,53]. The main advantage of using the MIA for the one-loop computation of the Γ(H x → l klm ) partial widths (H x = h, H, A) is clear: it provides very simple analytic formulas for the form factors involved which after a proper expansion, to be valid in the case of heavy sparticle masses of our interest here, say m SUSY O(1 TeV), can be recast in simple LFV effective vertices V eff Hxlml k , and these in turn are very useful for a simplified phenomenological study of the LFVHD rates in terms of the generic δ AB mk 's and their comparison with data.…”

Section: Jhep03(2016)055mentioning

confidence: 99%

Analysis of the h, H, A → τμ decays induced from SUSY loops within the Mass Insertion Approximation

Arganda

Herrero

Morales

et al. 2016

J. High Energ. Phys.

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In this paper we study the lepton favor violating decay channels of the neutral Higgs bosons of the Minimal Supersymmetric Standard Model into a lepton and an antilepton of different flavor. We work in the context of the most general flavor mixing scenario in the slepton sector, in contrast to the minimal flavor violation assumption more frequently used. Our analytic computation is a one-loop diagrammatic one, but in contrast to the full one-loop computation which is usually referred to the physical slepton mass basis, we use here instead the Mass Insertion Approximation (MIA) which uses the electroweak interaction slepton basis and treats perturbatively the mass insertions changing slepton flavor. By performing an expansion in powers of the external momenta in the relevant form factors, we will be able to separate explicitly in the analytic results the leading non-decoupling (constant at asymptotically large sparticle masses) and the next to leading decoupling contributions (decreasing with the sparticle masses). Our final aim is to provide a set of simple analytic formulas for the form factors and the associated effective vertices, that we think may be very useful for future phenomenological studies of the lepton flavor violating Higgs boson decays, and for their comparison with data. The accuracy of the numerical results obtained with the MIA are also analyzed and discussed here in comparison with the full one-loop results. Our most optimistic numerical estimates for the three neutral Higgs boson decays channels into τ and µ leptons, searching for their maximum rates that are allowed by present constraints from τ → µγ data and beyond Standard Model Higgs boson searches at the LHC, are also included.

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Section: Jhep03(2016)055mentioning

confidence: 99%

Analysis of the h, H, A → τμ decays induced from SUSY loops within the Mass Insertion Approximation

Arganda

Herrero

Morales

et al. 2016

J. High Energ. Phys.

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“…Moreover, we have obtained an analytical expansion of the dominant gluino amplitude by using a theorem of matrix algebra [59] and have arrived at the approximate master formula (3.9). This formula worked as a guide in order to understand better the cancellations between various contributions, decoupling effects and enhancement scenarios in t → q h amplitude.…”

Section: Discussionmentioning

confidence: 99%

Rare top-quark decays to Higgs boson in the MSSM

Suxho¹

2016

Proceedings of 18th International Conference From the Planck Scale to the Electroweak Scale — PoS(PLANCK 2015)

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In full one-loop generality and in next-to-leading order in QCD, we study rare top to Higgs boson flavour changing decay processes t → q h with q = u, c quarks, in the general MSSM with R-parity conservation. Our primary goal is to search for enhanced effects on B(t → q h) that could be visible at current and high luminosity LHC running. To this end, we perform an analytical expansion of the amplitude in terms of flavour changing squark mass insertions that treats both cases of hierarchical and degenerate squark masses in a unified way. We identify two enhanced effects allowed by various constraints: one from holomorphic trilinear soft SUSY breaking terms and/or right handed up squark mass insertions and another from non-holomorphic trilinear soft SUSY breaking terms and light Higgs boson masses. Interestingly, even with O(1) flavour violating effects in the, presently unconstrained, up-squark sector, SUSY effects on B(t → q h) come out to be unobservable at LHC mainly due to leading order cancellations between penguin and self energy diagrams and the constraints from charge-and colour-breaking minima (CCB) of the MSSM vacuum. An exception to this conclusion may be effects arising from non-holomorphic soft SUSY breaking terms in the region where the CP-odd Higgs mass is smaller than the top-quark mass but this scenario is disfavoured by recent LHC searches. Our calculations for t → q h decay are made available in SUSY FLAVOUR numerical library. *

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“…The theorem, applied first in [3], but formulated and proved in [1], suggests that any analytic function of a Hermitian matrix f (A) can be expanded polynomially in terms of the off-diagonal elements of the matrix, a property which will be shown to have an intimate connection with the MIA expansion, as discussed in what follows. In more detail, if f (A) is an analytic Hermitian matrix function, then any element of this matrix function will be given by the expansion,…”

Section: The Flavour Expansion Theorem: a Brief Reviewmentioning

confidence: 94%

“…As has been shown in [1] analogous, FET-treatable expressions are obtained from diagrams involving fermions (or gauge bosons) as well. The generalization to the multivariable case is always straightforward.…”

Section: The Flavour Expansion Theorem: a Brief Reviewmentioning

confidence: 95%

“…1 As one can easily imagine, in theories with complicated flavour structure, the diagrammatic MIA method becomes a complex and error-prone process. On the other hand, the recently developed Flavour Expansion Theorem (FET) [1,2], offers an alternative derivation of the MIA result, without the difficulties that unavoidably arise from the use of diagrammatic techniques, in flavour basis QFT calculations. In addition, embedding the MIA within the solid mathematical framework of matrix analysis [7,8], provides with various new benefits.…”

Section: Introductionmentioning

confidence: 99%

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Aspects of the Flavour Expansion Theorem

Paraskevas

2016

Proceedings of 18th International Conference From the Planck Scale to the Electroweak Scale — PoS(PLANCK 2015)

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The Flavour Expansion Theorem, which has been recently proposed as a more general and elegant algebraic method, for the derivation of the commonly used Mass Insertion Approximation, is revisited. The theorem is reviewed, with respect to its straightforward applications in Flavour physics, and compared against the standard diagrammatic flavour basis techniques, in cases where the latter become inadequate.

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Mass insertions vs. mass eigenstates calculations in flavour physics

Cited by 28 publications

References 38 publications

Analysis of the h, H, A → τμ decays induced from SUSY loops within the Mass Insertion Approximation

Analysis of the h, H, A → τμ decays induced from SUSY loops within the Mass Insertion Approximation

Rare top-quark decays to Higgs boson in the MSSM

Aspects of the Flavour Expansion Theorem

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