Hard matching for boosted tops at two loops

Hoang, Andre H.; Pathak, Aditya; Pietrulewicz, Piotr; Stewart, Iain W.

doi:10.1007/JHEP12(2015)059

Title: Hard matching for boosted tops at two loops

Journal Article · Thu Dec 10 00:00:00 EST 2015 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP12(2015)059· OSTI ID:1435620

Hoang, Andre H. ^[1]; Pathak, Aditya ^[2]; Pietrulewicz, Piotr ^[3]; Stewart, Iain W. ^[2]

Univ. of Vienna, Wien (Austria); Univ. of Vienna, Vienna (Austria)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)

Here, cross sections for top quarks provide very interesting physics opportunities, being both sensitive to new physics and also perturbatively tractable due to the large top quark mass. Rigorous factorization theorems for top cross sections can be derived in several kinematic scenarios, including the boosted regime in the peak region that we consider here. In the context of the corresponding factorization theorem for e⁺e^– collisions we extract the last missing ingredient that is needed to evaluate the cross section differential in the jet-mass at two-loop order, namely the matching coefficient at the scale μ≃m_t. Our extraction also yields the final ingredients needed to carry out logarithmic re-summation at next-to-next-to-leading logarithmic order (or N³LL if we ignore the missing 4-loop cusp anomalous dimension). This coefficient exhibits an amplitude level rapidity logarithm starting at O(α²_s) due to virtual top quark loops, which we treat using rapidity renormalization group (RG) evolution. Interestingly, this rapidity RG evolution appears in the matching coefficient between two effective theories around the heavy quark mass scale μ ≃ m_t.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0011090

OSTI ID:: 1435620

Journal Information:: Journal of High Energy Physics (Online), Vol. 2015, Issue 12; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 15 works

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