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The recent observations of sizable transverse fractions of B-> phi K* arestrongly contrary to the Standard Model expectation. We analyze all possiblenew-physics four-quark operators. We find that two classes of new-physicsoperators could offer resolutions to the B-> phi K* polarization anomaly. The(1-\gamma_5)\otimes (1-\gamma_5) and \sigma(1-\gamma_5)\otimes\sigma(1-\gamma_5) operators in the first class contribute to differenthelicity amplitudes as H{00}: H{--}: H{++} ~ O(1/mb):O(1):O(1/mb^2), while thecontributions arising from (1+\gamma_5)\otimes (1+\gamma_5) and\sigma(1+\gamma_5)\otimes \sigma(1+\gamma_5) operators in the second class tovarious helicity amplitudes are given as H{00}: H{--}: H{++} ~O(1/mb):O(1/mb^2):O(1). For each class of new physics, we find that all newphysics effects can be lumped into a single parameter. Two possibleexperimental results of polarization phases, \arg(A_\perp)- \arg(A_\parallel) ~\pi or 0, originating from the phase ambiguity in data, could be separatelyaccounted for by our two new-physics scenarios: (i) the first scenario with thefirst class new-physics operators, and (ii) the second scenario with the secondclass new-physics operators. The consistency between the data and the newphysics analysis, suggests a small new-physics weak phase, together with alarge strong phase. We obtain sizable transversely polarized amplitudes\Lambda_{\parallel\parallel} + \Lambda_{\perp\perp} = \Lambda_{00}. In thesecond scenario, we find \Lambda_{\parallel\parallel} ~ \Lambda_{\perp\perp},while, in the first scenario, we obtain \Lambda_{\parallel\parallel} ~\Lambda_{\perp\perp}/2. We discuss the impact of the new-physics weak phase onobservations.Comment: 24 pages, 1 figure, 6 tables; some numerical results corrected; to  appear in Phys. Rev.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Data for polarization in charmless<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo>→</mml:mo><mml:mi>ϕ</mml:mi><mml:msup><mml:mi>K</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:math>: A signal for new physics?

Data for polarization in charmlessB→ϕK*: A signal for new physics?