Two- and three-loop data for the groomed jet mass

Adam Kardos (University of Debrecen, 4010 Debrecen, PO Box 105, Hungary) ; Andrew J. Larkoski (Physics Department, Reed College, Portland, Oregon 97202, USA) ; Zoltán Trócsányi (Institute for Theoretical Physics, ELTE Eötvös Loránd University, Pázmány Péter 1/A, H-1117 Budapest, Hungary and MTA-DE Particle Physics Research Group, University of Debrecen, 4010 Debrecen, PO Box 105, Hungary)

We discuss the status of resummation of large logarithmic contributions to groomed event shapes of hadronic final states in electron-positron annihilation. We identify the missing ingredients needed for next-to-next-to-next-to-leading logarithmic (NNNLL) resummation of the modified mass mass drop tagger (mMDT) groomed jet mass in e+e collisions: the low-scale collinear-soft constants at two-loop accuracy, cSc(2), and the three-loop noncusp anomalous dimension of the global soft function, γS(2). We present a method for extracting those constants using fixed-order codes: the event2 program to obtain the color coefficients of cSc(2), and mccsm for extracting γS(2). We present all necessary formulae for resummation of the mMDT groomed heavy jet mass distribution at NNNLL accuracy.

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      "value": "We discuss the status of resummation of large logarithmic contributions to groomed event shapes of hadronic final states in electron-positron annihilation. We identify the missing ingredients needed for next-to-next-to-next-to-leading logarithmic (NNNLL) resummation of the modified mass mass drop tagger (mMDT) groomed jet mass in <math><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>\u2212</mo></msup></math> collisions: the low-scale collinear-soft constants at two-loop accuracy, <math><msubsup><mi>c</mi><msub><mi>S</mi><mi>c</mi></msub><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></msubsup></math>, and the three-loop noncusp anomalous dimension of the global soft function, <math><msubsup><mi>\u03b3</mi><mi>S</mi><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></msubsup></math>. We present a method for extracting those constants using fixed-order codes: the event2 program to obtain the color coefficients of <math><msubsup><mi>c</mi><msub><mi>S</mi><mi>c</mi></msub><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></msubsup></math>, and mccsm for extracting <math><msubsup><mi>\u03b3</mi><mi>S</mi><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></msubsup></math>. We present all necessary formulae for resummation of the mMDT groomed heavy jet mass distribution at NNNLL accuracy."
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Published on:
30 June 2020
Publisher:
APS
Published in:
Physical Review D , Volume 101 (2020)
Issue 11
DOI:
https://doi.org/10.1103/PhysRevD.101.114034
arXiv:
2002.05730
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

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