An Introduction to Homological Algebra by Charles A. Weibel

By Charles A. Weibel

A portrait of the topic of homological algebra because it exists this present day

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This logic leads us to plan, over the next 20 years, to study the new interactions responsible for electroweak symmetry breaking in both proton-proton and leptonlepton collisions. From our experience with the strong and electroweak interactions, it is likely that these new interactions will not be thoroughly understood until we can look at them experimentally from energies above the relevant particle masses. In some supersymmetric models, it is possible to stand above the whole spectrum at a center of mass energy of 1 TeV.

2) can be induced by the exchange of a heavy boson of mass ME . However, whatever the mechanism that leads to this operator, the physical interactions responsible must operate at some energy scale not too far above ME . This means that, unlike the previous case, the interactions that determine the quark and lepton masses and mixings must occur at energies not so far above those we now probe experimentally. In fact, these interactions must occur at sufficiently low energies that they would be expected to contribute significantly to µ → eγ and K → µe, and to K–K, B–B, and D–D mixing.

We will see that these features can also be used to great advantage in the experimental program for 500 GeV: • The cross sections for new Standard Model and exotic processes, and those of the dominant backgrounds, are all within about 2 orders of magnitude of one another (see Fig. 1). Thus, the desired signals have large production rates and favorable signal to background ratios. This situation contrasts with that at hadron colliders, where the interesting signals are typically very tiny fractions of the total cross section.

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