Scimemi

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I. Scimemi, with Ambar Jain and Iain Stewart, MIT, Cambridge 1 Radcor2007, Firenze

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2 Radcor2007, Firenze

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Fleming, Hoang, Mantry, Stewart ArXiv:0703.207 3 Radcor2007, Firenze

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The main observable is Where And 4 Radcor2007, Firenze

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5 Radcor2007, Firenze

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We want this at 2 loops Calculable perturbatevely 6 Radcor2007, Firenze

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The calculation of this part now completed=Finite part of 2-loop diagrams. 7 Radcor2007, Firenze

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and In light cone coord. Wilson lines 8 Radcor2007, Firenze

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Tree level …and 2 loop Wilson lines attach here! Broadhurst, Grozin 9 Radcor2007, Firenze

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The 2 loop integrals have the form (solved with IBP) 10 Radcor2007, Firenze

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The Z(s,m) has the usual expansion in a 11 Radcor2007, Firenze

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The 2-loop contribution due to one loop renormalization is obtained with convolutions 12 Radcor2007, Firenze

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The consistency relations now involve convolutions.. 13 Radcor2007, Firenze

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1-loop result 2-loop results 14 Radcor2007, Firenze

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One can calculate B for a stable top quark The RGE are the same for stable and unstable tops The smearing introduces explicitly a new scale G 15 Radcor2007, Firenze

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Plot for B(s, G, m=2 GeV) and pole mass B 16 Radcor2007, Firenze

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17 Radcor2007, Firenze

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Both the MSb mass and the jet mass are renormalon free. The MSb mass is known at 3 loops. Now the jet mass at 2 loops. Numerically the loop corrections to mj are much smaller than the loop corrections to MSb-mass 18 Radcor2007, Firenze

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B 19 Radcor2007, Firenze

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20 Radcor2007, Firenze

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21 Radcor2007, Firenze

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22 Radcor2007, Firenze

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23 Radcor2007, Firenze

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24 Radcor2007, Firenze

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