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Mihir P. Worah

Publications and source records attributed to Mihir P. Worah.

20 records · Page 2Linked to original sources

Oblique Corrections To The W Width

The lowest-order expression for the partial $W$ width to $e ν,~Γ(W \to e ν) = G_μM_W^3 /(6 π\sqrt{2})$, has no oblique radiative corrections from new physics if the measured $W$ mass is used. Here $G_μ= (1.16639 \pm 0.00002) \times 10^{-5}$ GeV/$c^2$ is the muon decay constant. For the present value of $M_W = (80.14 \pm 0.27)$ GeV/$c^2$, and with $m_t = 140$ GeV$/c^2$, one expects $Γ(W \to e ν) = (224.4 \pm 2.3)$ MeV. The total width $Γ_{\rm tot}(W)$ is also expected to lack oblique corrections from new physics, so that $Γ_{\rm tot} (W)/ Γ(W \to e ν) = 3 + 6 [1 + \{α_s (M_W)/π\}]$. Present data are consistent with this prediction.

hep-ph↗

Model of the Quark Mixing Matrix

The structure of the Cabibbo-Kobayashi-Maskawa (CKM) matrix is analyzed from the standpoint of a composite model. A model is constructed with three families of quarks, by taking tensor products of sufficient numbers of spin-1/2 representations and imagining the dominant terms in the mass matrix to arise from spin-spin interactions. Generic results then obtained include the familiar relation $|V_{us}| = (m_d/m_s)^{1/2} - (m_u/m_c)^{1/2}$, and a less frequently seen relation $|V_{cb}| = \sqrt{2} [(m_s/m_b) - (m_c/m_t)]$. The magnitudes of $V_{ub}$ and $V_{td}$ come out naturally to be of the right order. The phase in the CKM matrix can be put in by hand, but its origin remains obscure.

hep-ph↗