Two-loop radiative jet function for exclusive B-meson and Higgs decays

Liu, Ze Long; Neubert, Matthias

doi:10.1007/jhep06(2020)060

Title: Two-loop radiative jet function for exclusive B-meson and Higgs decays

Journal Article · Tue Jun 09 00:00:00 EDT 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep06(2020)060· OSTI ID:1764234

^[1]; Neubert, Matthias ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Johannes Gutenberg Univ., Mainz (Germany). PRISMA+ Cluster of Excellence; Cornell Univ., Ithaca, NY (United States)

The rare radiative B-meson decay $ {B}^{-}\to \gamma {\mathrm{\ell}}^{-}\overline{v} $ and the radiative Higgs-boson decay h → γγ mediated by light-quark loops both receive large logarithmic corrections in QCD, which can be resummed using factorization theorems derived in soft-collinear effective theory. In these factorization theorems the same radiative jet function appears, which is a central object in the study of factorization beyond the leading order in scale ratios. We calculate this function at two-loop order both in momentum space and in a dual space, where its renormalization-group evolution takes on a simpler form. We also derive the two-loop anomalous dimension of the jet function and present the exact solution to its evolution equation at two-loop order. Another important outcome of our analysis is the explicit form of the two-loop anomalous dimension of the B-meson light-cone distribution amplitude in momentum space.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; German Federal Ministry for Education and Research (BMBF)

Grant/Contract Number:: 89233218CNA000001; AC52-06NA25396; 05H18UMCA1

OSTI ID:: 1764234

Report Number(s):: LA-UR-20-28934; TRN: US2206161

Journal Information:: Journal of High Energy Physics (Online), Vol. 2020, Issue 6; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (51)

Two-loop conformal generators for leading-twist operators in QCD Braun, V. M.; Manashov, A. N.; Moch, S. Journal of High Energy Physics, Vol. 2016, Issue 3 https://doi.org/10.1007/JHEP03(2016)142	journal	March 2016
The gluon jet function at two-loop order Becher, Thomas; Bell, Guido Physics Letters B, Vol. 695, Issue 1-4 https://doi.org/10.1016/j.physletb.2010.11.036	journal	January 2011
B meson distribution amplitude from B→γℓν Beneke, M.; Rohrwild, J. The European Physical Journal C, Vol. 71, Issue 12 https://doi.org/10.1140/epjc/s10052-011-1818-8	journal	December 2011
Spectator interactions in soft-collinear effective theory Hill, Richard J.; Neubert, Matthias Nuclear Physics B, Vol. 657 https://doi.org/10.1016/S0550-3213(03)00116-0	journal	May 2003
Factorization in leptonic radiative B→γeν decays Lunghi, Enrico; Pirjol, Dan; Wyler, Daniel Nuclear Physics B, Vol. 649, Issue 1-2 https://doi.org/10.1016/S0550-3213(02)01032-5	journal	January 2003
Subleading-power corrections to the radiative leptonic B → γℓν decay in QCD Wang, Yu-Ming; Shen, Yue-Long Journal of High Energy Physics, Vol. 2018, Issue 5 https://doi.org/10.1007/JHEP05(2018)184	journal	May 2018
Dynamical threshold enhancement and resummation in Drell-Yan production Becher, Thomas; Neubert, Matthias; Xu, Gang Journal of High Energy Physics, Vol. 2008, Issue 07 https://doi.org/10.1088/1126-6708/2008/07/030	journal	July 2008
Multipole-expanded soft-collinear effective theory with non-Abelian gauge symmetry Beneke, M.; Feldmann, Th. Physics Letters B, Vol. 553, Issue 3-4 https://doi.org/10.1016/S0370-2693(02)03204-5	journal	February 2003
An effective field theory for collinear and soft gluons: Heavy to light decays Bauer, Christian W.; Fleming, Sean; Pirjol, Dan Physical Review D, Vol. 63, Issue 11 https://doi.org/10.1103/PhysRevD.63.114020	journal	May 2001
A precise determination of α _s from LEP thrust data using effective field theory Becher, Thomas; Schwartz, Matthew D. Journal of High Energy Physics, Vol. 2008, Issue 07 https://doi.org/10.1088/1126-6708/2008/07/034	journal	July 2008
The quark beam function at NNLL Stewart, Iain W.; Tackmann, Frank J.; Waalewijn, Wouter J. Journal of High Energy Physics, Vol. 2010, Issue 9 https://doi.org/10.1007/JHEP09(2010)005	journal	September 2010
Factorization and Sudakov resummation in leptonic radiative B decay Bosch, S. W.; Hill, R. J.; Lange, B. O. Physical Review D, Vol. 67, Issue 9 https://doi.org/10.1103/PhysRevD.67.094014	journal	May 2003
Renormalization-Group Evolution of the $B$ -Meson Light-Cone Distribution Amplitude Lange, Björn O.; Neubert, Matthias Physical Review Letters, Vol. 91, Issue 10 https://doi.org/10.1103/PhysRevLett.91.102001	journal	September 2003
QCD Factorization for $B \to π π$ Decays: Strong Phases and $CP$ Violation in the Heavy Quark Limit Beneke, M.; Buchalla, G.; Neubert, M. Physical Review Letters, Vol. 83, Issue 10 https://doi.org/10.1103/PhysRevLett.83.1914	journal	September 1999
Model-independent properties of the $B$ -meson distribution amplitude Lee, Seung J.; Neubert, Matthias Physical Review D, Vol. 72, Issue 9 https://doi.org/10.1103/PhysRevD.72.094028	journal	November 2005
Factorization and dispersion relations for radiative leptonic B decay Wang, Yu-Ming Journal of High Energy Physics, Vol. 2016, Issue 9 https://doi.org/10.1007/JHEP09(2016)159	journal	September 2016
Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power Beneke, Martin; Broggio, Alessandro; Garny, Mathias Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/JHEP03(2019)043	journal	March 2019
Three-loop soft function for heavy-to-light quark decays Brüser, Robin; Liu, Ze Long; Stahlhofen, Maximilian Journal of High Energy Physics, Vol. 2020, Issue 3 https://doi.org/10.1007/JHEP03(2020)071	journal	March 2020
Introduction Becher, Thomas; Broggio, Alessandro; Ferroglia, Andrea Introduction to Soft-Collinear Effective Theory https://doi.org/10.1007/978-3-319-14848-9_1	book	January 2015
Factorization at subleading power and endpoint-divergent convolutions in h → γγ decay Liu, Ze Long; Neubert, Matthias Journal of High Energy Physics, Vol. 2020, Issue 4 https://doi.org/10.1007/JHEP04(2020)033	journal	April 2020
Infrared Singularities of Scattering Amplitudes in Perturbative QCD Becher, Thomas; Neubert, Matthias Physical Review Letters, Vol. 102, Issue 16 https://doi.org/10.1103/PhysRevLett.102.162001	journal	April 2009
On hyperlogarithms and Feynman integrals with divergences and many scales Panzer, Erik Journal of High Energy Physics, Vol. 2014, Issue 3 https://doi.org/10.1007/JHEP03(2014)071	journal	March 2014
Threshold Resummation in Momentum Space from Effective Field Theory Becher, Thomas; Neubert, Matthias Physical Review Letters, Vol. 97, Issue 8 https://doi.org/10.1103/PhysRevLett.97.082001	journal	August 2006
Non-abelian factorisation for next-to-leading-power threshold logarithms Bonocore, D.; Laenen, E.; Magnea, L. Journal of High Energy Physics, Vol. 2016, Issue 12 https://doi.org/10.1007/JHEP12(2016)121	journal	December 2016
Three-Loop Quark Jet Function Brüser, Robin; Liu, Ze Long; Stahlhofen, Maximilian Physical Review Letters, Vol. 121, Issue 7 https://doi.org/10.1103/PhysRevLett.121.072003	journal	August 2018
Space–time dimensionality as complex variable: Calculating loop integrals using dimensional recurrence relation and analytical properties with respect to Lee, R. N. Nuclear Physics B, Vol. 830, Issue 3 https://doi.org/10.1016/j.nuclphysb.2009.12.025	journal	May 2010
Infrared singularities of QCD amplitudes with massive partons Becher, Thomas; Neubert, Matthias Physical Review D, Vol. 79, Issue 12 https://doi.org/10.1103/PhysRevD.79.125004	journal	June 2009
Two-loop renormalization of the effective field theory of a static quark Broadhurst, D. J.; Grozin, A. G. Physics Letters B, Vol. 267, Issue 1 https://doi.org/10.1016/0370-2693(91)90532-U	journal	September 1991
Renormalization-group improved calculation of the $B\to X_s\gamma$ branching ratio Neubert, M. The European Physical Journal C, Vol. 40, Issue 2 https://doi.org/10.1140/epjc/s2005-02141-1	journal	March 2005
Bootstrapping Rapidity Anomalous Dimensions for Transverse-Momentum Resummation Li, Ye; Zhu, Hua Xing Physical Review Letters, Vol. 118, Issue 2 https://doi.org/10.1103/PhysRevLett.118.022004	journal	January 2017
Factorization and shape-function effects in inclusive B-meson decays Bosch, S. W.; Lange, B. O.; Neubert, M. Nuclear Physics B, Vol. 699, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2004.07.041	journal	November 2004
On light-like Wilson loops Korchemskaya, I. A.; Korchemsky, G. P. Physics Letters B, Vol. 287, Issue 1-3 https://doi.org/10.1016/0370-2693(92)91895-G	journal	August 1992
Conformal symmetry of the Lange–Neubert evolution equation Braun, V. M.; Manashov, A. N. Physics Letters B, Vol. 731 https://doi.org/10.1016/j.physletb.2014.02.051	journal	April 2014
Asymptotics of heavy-meson form factors Grozin, A. G.; Neubert, M. Physical Review D, Vol. 55, Issue 1 https://doi.org/10.1103/PhysRevD.55.272	journal	January 1997
Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals Panzer, Erik Computer Physics Communications, Vol. 188 https://doi.org/10.1016/j.cpc.2014.10.019	journal	March 2015
Radiative leptonic decay B → γℓνℓ with subleading power corrections Beneke, M.; Braun, V. M.; Ji, Yao Journal of High Energy Physics, Vol. 2018, Issue 7 https://doi.org/10.1007/JHEP07(2018)154	journal	July 2018
Subleading power factorization with radiative functions Moult, Ian; Stewart, Iain W.; Vita, Gherardo Journal of High Energy Physics, Vol. 2019, Issue 11 https://doi.org/10.1007/JHEP11(2019)153	journal	November 2019
NNLO corrections to inclusive semileptonic B decays in the shape-function region Bell, Guido Nuclear Physics B, Vol. 812, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2008.12.018	journal	May 2009
Soft-collinear effective theory and heavy-to-light currents beyond leading power Beneke, M.; Chapovsky, A. P.; Diehl, M. Nuclear Physics B, Vol. 643, Issue 1-3 https://doi.org/10.1016/S0550-3213(02)00687-9	journal	November 2002
High-energy bremsstrahlung theorems for soft photons Del Duca, Vittorio Nuclear Physics B, Vol. 345, Issue 2-3 https://doi.org/10.1016/0550-3213(90)90392-Q	journal	December 1990
Hard scattering factorization from effective field theory Bauer, Christian W.; Fleming, Sean; Pirjol, Dan Physical Review D, Vol. 66, Issue 1 https://doi.org/10.1103/PhysRevD.66.014017	journal	July 2002
QCD factorization for exclusive non-leptonic -meson decays: general arguments and the case of heavy–light final states Beneke, M.; Buchalla, G.; Neubert, M. Nuclear Physics B, Vol. 591, Issue 1-2 https://doi.org/10.1016/S0550-3213(00)00559-9	journal	December 2000
Integrability in heavy quark effective theory Braun, Vladimir M.; Ji, Yao; Manashov, Alexander N. Journal of High Energy Physics, Vol. 2018, Issue 6 https://doi.org/10.1007/JHEP06(2018)017	journal	June 2018
LiteRed 1.4: a powerful tool for reduction of multiloop integrals Lee, Roman N. Journal of Physics: Conference Series, Vol. 523 https://doi.org/10.1088/1742-6596/523/1/012059	journal	June 2014
Infrared factorization in inclusive B meson decays Korchemsky, Gregory P.; Sterman, George Physics Letters B, Vol. 340, Issue 1-2 https://doi.org/10.1016/0370-2693(94)91304-8	journal	December 1994
FIRE5: A C++ implementation of Feynman Integral REduction Smirnov, A. V. Computer Physics Communications, Vol. 189 https://doi.org/10.1016/j.cpc.2014.11.024	journal	April 2015
A quasi-finite basis for multi-loop Feynman integrals von Manteuffel, Andreas; Panzer, Erik; Schabinger, Robert M. Journal of High Energy Physics, Vol. 2015, Issue 2 https://doi.org/10.1007/JHEP02(2015)120	journal	February 2015
Factorization and momentum-space resummation in deep-inelastic scattering Becher, Thomas; Neubert, Matthias; Pecjak, Ben D. Journal of High Energy Physics, Vol. 2007, Issue 01 https://doi.org/10.1088/1126-6708/2007/01/076	journal	January 2007
Renormalization of the Wilson loops beyond the leading order Korchemsky, G. P.; Radyushkin, A. V. Nuclear Physics B, Vol. 283 https://doi.org/10.1016/0550-3213(87)90277-X	journal	January 1987
Light-cone distribution amplitudes for heavy-quark hadrons Bell, Guido; Feldmann, Thorsten; Wang, Yu-Ming Journal of High Energy Physics, Vol. 2013, Issue 11 https://doi.org/10.1007/JHEP11(2013)191	journal	November 2013
Soft-collinear factorization in effective field theory Bauer, Christian W.; Pirjol, Dan; Stewart, Iain W. Physical Review D, Vol. 65, Issue 5 https://doi.org/10.1103/PhysRevD.65.054022	journal	February 2002

Similar Records

Prompt and non-prompt J/ψ production cross sections at midrapidity in proton-proton collisions at $ \sqrt{\mathrm{s}} $ = 5.02 and 13 TeV

Journal Article · Mon Mar 28 00:00:00 EDT 2022 · Journal of High Energy Physics (Online) · OSTI ID:1764234

Acharya, S; Adamova, D; Adler, A; +497 more

Measurement of differential $ b\overline{b} $- and $ c\overline{c} $-dijet cross-sections in the forward region of pp collisions at $ \sqrt{s} $ = 13 TeV

Journal Article · Tue Feb 02 00:00:00 EST 2021 · Journal of High Energy Physics (Online) · OSTI ID:1764234

Aaij, R.; Abellán Beteta, C.; Ackernley, T.; +982 more

Unified framework for B-anomalies, muon g – 2 and neutrino masses

Journal Article · Thu Mar 18 00:00:00 EDT 2021 · Journal of High Energy Physics (Online) · OSTI ID:1764234

Babu, K. S.; Dev, P. S. Bhupal; Jana, Sudip; +1 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Atomic
Nuclear and Particle Physics
Effective field theories
renormalization group
perturbative QCD
resummation

Title: Two-loop radiative jet function for exclusive B-meson and Higgs decays

Citation Formats

References (51)

Similar Records

Related Subjects