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Youichi Yamada

Publications and source records attributed to Youichi Yamada.

27 records · Page 2Linked to original sources

Radiative Corrections to a Supersymmetric Relation: A New Approach

Recently it has been realized that the production and decay processes of charginos, neutralinos, and sleptons receive corrections which grow like log m_squark for large m_squark. In this paper we calculate the chargino pair production cross section at e+e- colliders with quark/squark loop corrections. We introduce a novel formulation, where the one-loop amplitude is reorganized into two parts. One part is expressed in terms of the ``effective'' chargino coupling gbar and mixing matrices U^P, V^P, and includes all O(log m_squark) corrections, while the other decouples for large m_squark. The form of the one-loop cross section then becomes physically transparent. Our formulation can be easily extended to other loops and processes. Numerically, we find significant corrections due to the effective t-channel coupling gbar, for gaugino-like charginos. In the mixed region, where the chargino has large gaugino and Higgsino components, the corrections due to (U^P,V^P) are also significant. Our numerical results disagree with a previous calculation. We revisit previous studies of the determination of gbar through the measurement of the chargino production cross section. We point out that a previous study, which claimed that the measurement suffers large systematic errors, was performed at a ``pessimistic'' point in MSSM parameter space. We provide reasons why the systematic errors are not a limiting factor for generic parameter choices.

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Slepton Production as a Probe of the Squark Mass Scale

We investigate an important radiative correction to the slepton and chargino production processes. We consider a supersymmetric spectrum with a large splitting between the squark and slepton masses. In this case, in the effective theory below the squark mass threshold, the supersymmetric Slavnov-Taylor identities which enforce the equality of the gauge and gaugino couplings are violated. The gaugino propagators receive potentially large corrections due to virtual quark/squark loop effects. We compute the full one-loop (s)quark corrected slepton production cross-sections. The t-channel one-loop scattering amplitudes are factorized into an effective chargino/neutralino mass matrix and an effective fermion-sfermion-gaugino coupling. The difference between the effective gaugino coupling and the gauge coupling is proportional to log(Msq/msl) in the large squark mass limit. We find that the one-loop corrected slepton production cross-sections can depend on the squark mass strongly, up to 9% times log(Msq/msl). We investigate the squark mass sensitivity of the slepton cross-section measurements at a future linear collider. For sneutrino production accessible at sqrt{s}= 500 GeV there can be sensitivity to squark masses at or larger than 1 TeV.

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Definition of $\tanβ$ beyond tree-level

We study the relation between different renormalization schemes for the parameter $\tanβ$ in the Minimal Supersymmetric Standard Model. The contributions of the third-generation quark-squark loops to the differences between $\tanβ$'s in several schemes are discussed. Their numerical differences are typically within several %.

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Radiative corrections to sfermion mass splittings

We study the one-loop radiative corrections to the SU(2) breaking mass splittings between sfermions in SU(2) doublets in the Minimal Supersymmetric Standard Model. At tree-level, the differences of mass squared $m_{\tilde{f}_{1L}}^2-m_{\tilde{f}_{2L}}^2$ of SU(2) doublet sfermions $(\tilde{f}_1, \tilde{f}_2)_L$ in the first two generations are determined by $\tanβ$, and are universal to sleptons and squarks. The radiative correction, however, breaks this relation. The typical deviation from the universality between sleptons and squarks is within $\pm0.05$ in terms of the ``effective $\cos2β$''. We also study the SUSY parameter dependence of the deviation. For very heavy sfermions, the relative corrections become large.

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Electroweak Precision Measurements and the Minimal Supersymmetric Standard Model

We discuss supersymmetric contributions to the electroweak precision measurements in the Minimal Supersymmetric Standard Model for two cases: the quark-lepton universality violation $δ_{q\ell}$ in charged currents and the ratio $R_b=Γ(Z\rightarrow b\bar{b})/Γ(Z\rightarrow \rm hadrons)$. The recent experimental data suggest deviations from the Standard Model for these observables, at the 1-$σ$ level for the former and at more than 3-$σ$ level for the latter. We analyze the non-oblique corrections from the SUSY particles to explain these discrepancies. The observed non-zero $δ_{q\ell}$ may be explained by relatively light sleptons, charginos and neutralinos. Although the observed excess of $R_b$ can be explained by very light scalar top and chargino for low $\tanβ$, this interpretation is severely constrained by the opening of exotic decay modes for the top quark.

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Decoupling of the $ε$-scalar mass in softly broken supersymmetry

It has been shown recently that the introduction of an unphysical $ε$-scalar mass $\tilde{m}$ is necessary for the proper renormalization of softly broken supersymmetric theories by dimensional reduction ($\drbar$). In these theories, both the two-loop $β$-functions of the scalar masses and their one-loop finite corrections depend on $\tilde{m}^2$. We find, however, that the dependence on $\tilde{m}^2$ can be completely removed by slightly modifying the \drbar renormalization scheme. We also show that previous \drbar calculations of one-loop corrections in supersymmetry which ignored the $\tilde{m}^2$ contribution correspond to using this modified scheme.

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Two-loop renormalization group equations for soft SUSY breaking scalar interactions: supergraph method

We obtain the one- and two-loop renormalization group equations for soft SUSY breaking scalar interactions in general, semi-simple SUSY gauge model, by using the supergraph method. We find that the method simplifies the calculation significantly because of the non-renormalization theorem and also because of the property that the relevant divergences are derived by simple algebra from those in exact SUSY case. A disagreement with the existing result is found in $β^{(2)}(m^2)$ and its cause is briefly discussed.

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Two-loop renormalization of gaugino masses in general supersymmetric gauge models

We calculate the two-loop renormalization group equations for the running gaugino masses in general SUSY gauge models, improving our previous result. We also study its consequence to the unification of the gaugino masses in the SUSY SU(5) model. The two-loop correction to the one-loop relation $m_i(μ)\proptoα_i(μ)$ is found to be of the order of a few \%.

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Two-loop renormalization of gaugino mass in supersymmetric gauge model

We study the two-loop renormalization group equation for the running gaugino mass in the supersymmetric gauge theory. We find that both in the \msbar and \drbar renormalization schemes, the well-known proportionality of the runnings of the gaugino mass and the gauge coupling constant is violated at the two-loop order, even in models with vector supermultiplets only. Scheme dependence of the running gaugino mass is clarified.

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