Λb→pl⁻ν¯l form factors from lattice QCD with static b quarks

Detmold, William; Lin, C.-J. David; Meinel, Stefan; Wingate, Matthew

doi:10.1103/PhysRevD.88.014512

Title: Λ_b→pl⁻ν¯_l form factors from lattice QCD with static b quarks

Journal Article · Tue Jul 23 00:00:00 EDT 2013 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.88.014512· OSTI ID:1104294

Detmold, William; Lin, C.-J. David; Meinel, Stefan; Wingate, Matthew

We present a lattice QCD calculation of form factors for the decay Λ_b→pμ⁻ν¯_μ, which is a promising channel for determining the Cabibbo-Kobayashi-Maskawa matrix element |V_ub| at the Large Hadron Collider. In this initial study we work in the limit of static b quarks, where the number of independent form factors reduces to two. We use dynamical domain-wall fermions for the light quarks, and perform the calculation at two different lattice spacings and at multiple values of the light-quark masses in a single large volume. Using our form factor results, we calculate the Λ_b→pμ⁻ν¯_μ differential decay rate in the range 14 GeV²≤q²≤q²_max, and obtain the integral ∫^q²_max _{14 GeV²}[dΓ/dq²]dq²/|V_ub|²=15.3±4.2 ps⁻¹. Combined with future experimental data, this will give a novel determination of |V_ub| with about 15% theoretical uncertainty. The uncertainty is dominated by the use of the static approximation for the b quark, and can be reduced further by performing the lattice calculation with a more sophisticated heavy-quark action.

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Sponsoring Organization:: USDOE

OSTI ID:: 1104294

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology Vol. 88 Journal Issue: 1; ISSN 1550-7998

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 13 works

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References (41)

Heavy hadron chiral perturbation theory Cho, P. Nuclear Physics B, Vol. 421, Issue 3 https://doi.org/10.1016/0550-3213(94)90522-3	journal	June 1994
Heavy hadron chiral perturbation theory Cho, Peter Nuclear Physics B, Vol. 396, Issue 1 https://doi.org/10.1016/0550-3213(93)90263-O	journal	May 1993
Continuum limit physics from $2 + 1$ flavor domain wall QCD Aoki, Y.; Arthur, R.; Blum, T. Physical Review D, Vol. 83, Issue 7 https://doi.org/10.1103/PhysRevD.83.074508	journal	April 2011
An effective field theory for the calculation of matrix elements involving heavy quarks Eichten, Estia; Hill, Brian Physics Letters B, Vol. 234, Issue 4 https://doi.org/10.1016/0370-2693(90)92049-O	journal	January 1990
$B$ meson semileptonic form factors from unquenched lattice QCD Gulez, Emel; Gray, Alan; Wingate, Matthew Physical Review D, Vol. 73, Issue 7 https://doi.org/10.1103/PhysRevD.73.074502	journal	April 2006
Form factors and decay rates for heavy $Λ$ semileptonic decays from QCD sum rules Marques de Carvalho, R. S.; Navarra, F. S.; Nielsen, M. Physical Review D, Vol. 60, Issue 3 https://doi.org/10.1103/PhysRevD.60.034009	journal	June 1999
Unitary Symmetry and Leptonic Decays Cabibbo, Nicola Physical Review Letters, Vol. 10, Issue 12 https://doi.org/10.1103/PhysRevLett.10.531	journal	June 1963
Axial symmetries in lattice QCD with Kaplan fermions Furman, Vadim; Shamir, Yigal Nuclear Physics B, Vol. 439, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00031-M	journal	April 1995
$B \to π l ν$ semileptonic form factor from three-flavor lattice QCD: A model-independent determination of $\| V_{ub} \|$ Bailey, Jon A.; Bernard, C.; DeTar, C. Physical Review D, Vol. 79, Issue 5 https://doi.org/10.1103/PhysRevD.79.054507	journal	March 2009
Form factors and strong couplings of heavy baryons from QCD light-cone sum rules Khodjamirian, A.; Klein, Ch.; Mannel, Th. Journal of High Energy Physics, Vol. 2011, Issue 9 https://doi.org/10.1007/JHEP09(2011)106	journal	September 2011
Review of Particle Physics Beringer, J.; Arguin, J. -F.; Barnett, R. M. Physical Review D, Vol. 86, Issue 1 https://doi.org/10.1103/PhysRevD.86.010001	journal	July 2012
Relativistic Heavy Quarks on the Lattice Aoki, S.; Kuramashi, Y.; Tominaga, S. -i. Progress of Theoretical Physics, Vol. 109, Issue 3 https://doi.org/10.1143/PTP.109.383	journal	March 2003
Relativistic heavy quark effective action Christ, Norman H.; Li, Min; Lin, Huey-Wen Physical Review D, Vol. 76, Issue 7 https://doi.org/10.1103/PhysRevD.76.074505	journal	October 2007
Erratum: Form factors for $Λ_{b} \to Λ$ transitions in the soft-collinear effective theory [Phys. Rev. D 85 , 014035 (2012)] Feldmann, Thorsten; Yip, Matthew W. Y. Physical Review D, Vol. 86, Issue 7 https://doi.org/10.1103/PhysRevD.86.079901	journal	October 2012
Heavy-to-light baryonic form factors at large recoil Mannel, Thomas; Wang, Yu-Ming Journal of High Energy Physics, Vol. 2011, Issue 12 https://doi.org/10.1007/JHEP12(2011)067	journal	December 2011
Chiral fermions from lattice boundaries Shamir, Yigal Nuclear Physics B, Vol. 406, Issue 1-2 https://doi.org/10.1016/0550-3213(93)90162-I	journal	September 1993
Baryon chiral perturbation theory using a heavy fermion lagrangian Jenkins, Elizabeth; Manohar, Aneesh V. Physics Letters B, Vol. 255, Issue 4 https://doi.org/10.1016/0370-2693(91)90266-S	journal	February 1991
Renormalization group improved action for SU(3) lattice gauge theory and the string tension Iwasaki, Y.; Yoshié, T. Physics Letters B, Vol. 143, Issue 4-6 https://doi.org/10.1016/0370-2693(84)91500-4	journal	August 1984
Erratum: Heavy-quark symmetry and chiral dynamics [Phys. Rev. D 46 , 1148 (1992)] Yan, Tung-Mow; Cheng, Hai-Yang; Cheung, Chi-Yee Physical Review D, Vol. 55, Issue 9 https://doi.org/10.1103/PhysRevD.55.5851	journal	May 1997
Factorization of heavy-to-light baryonic transitions in SCET Wang, Wei Physics Letters B, Vol. 708, Issue 1-2 https://doi.org/10.1016/j.physletb.2012.01.036	journal	February 2012
Improved nonrelativistic QCD for heavy-quark physics Lepage, G. Peter; Magnea, Lorenzo; Nakhleh, Charles Physical Review D, Vol. 46, Issue 9 https://doi.org/10.1103/PhysRevD.46.4052	journal	November 1992
General analysis of weak decay form factors in heavy to heavy and heavy to light baryon transitions Hussain, F.; Liu, Dongsheng; Krämer, M. Nuclear Physics B, Vol. 370, Issue 2 https://doi.org/10.1016/0550-3213(92)90286-K	journal	February 1992
On lattice actions for static quarks Morte, Michele Della; Shindler, Andrea; Sommer, Rainer Journal of High Energy Physics, Vol. 2005, Issue 08 https://doi.org/10.1088/1126-6708/2005/08/051	journal	August 2005
Massive fermions in lattice gauge theory El-Khadra, Aida X.; Kronfeld, Andreas S.; Mackenzie, Paul B. Physical Review D, Vol. 55, Issue 7 https://doi.org/10.1103/PhysRevD.55.3933	journal	April 1997
Baryons in the heavy quark effective theory Mannel, Thomas; Roberts, Winston; Ryzak, Zbigniew Nuclear Physics B, Vol. 355, Issue 1 https://doi.org/10.1016/0550-3213(91)90301-D	journal	May 1991
A method for simulating chiral fermions on the lattice Kaplan, David B. Physics Letters B, Vol. 288, Issue 3-4 https://doi.org/10.1016/0370-2693(92)91112-M	journal	August 1992
Flavor physics in the quark sector Antonelli, M.; Asner, D. M.; Bauer, D. Physics Reports, Vol. 494, Issue 3-4 https://doi.org/10.1016/j.physrep.2010.05.003	journal	September 2010
Semileptonic $Λ_{b, c}$ to nucleon transitions in full QCD at light cone Azizi, K.; Bayar, M.; Sarac, Y. Physical Review D, Vol. 80, Issue 9 https://doi.org/10.1103/PhysRevD.80.096007	journal	November 2009
C P -Violation in the Renormalizable Theory of Weak Interaction Kobayashi, Makoto; Maskawa, Toshihide Progress of Theoretical Physics, Vol. 49, Issue 2 https://doi.org/10.1143/PTP.49.652	journal	February 1973
On heavy baryon decay form factors Hussain, F.; K�rner, J. G.; Kr�mer, M. Zeitschrift f�r Physik C Particles and Fields, Vol. 51, Issue 2 https://doi.org/10.1007/BF01475799	journal	June 1991
Heavy-quark symmetry and chiral dynamics Yan, Tung-Mow; Cheng, Hai-Yang; Cheung, Chi-Yee Physical Review D, Vol. 46, Issue 3 https://doi.org/10.1103/PhysRevD.46.1148	journal	August 1992
Parameters of heavy quark effective theory from N f = 2 lattice QCD Blossier, Benoît; Della Morte, Michele; Fritzsch, Patrick Journal of High Energy Physics, Vol. 2012, Issue 9 https://doi.org/10.1007/JHEP09(2012)132	journal	September 2012
$Λ_{b} \to Λ ℓ^{+} ℓ^{-}$ form factors and differential branching fraction from lattice QCD Detmold, William; Lin, C. -J. David; Meinel, Stefan Physical Review D, Vol. 87, Issue 7 https://doi.org/10.1103/PhysRevD.87.074502	journal	April 2013
Form factors for $Λ_{b} \to Λ$ transitions in the soft-collinear effective theory Feldmann, Thorsten; Yip, Matthew W. Y. Physical Review D, Vol. 85, Issue 1 https://doi.org/10.1103/PhysRevD.85.014035	journal	January 2012
Light-cone QCD sum rules for the semileptonic decay $Λ_{b} \to p l \bar{ν}$ Huang, Ming-Qiu; Wang, Dao-Wei Physical Review D, Vol. 69, Issue 9 https://doi.org/10.1103/PhysRevD.69.094003	journal	May 2004
Erratum: $B$ meson semileptonic form factors from unquenched lattice QCD [Phys. Rev. D 73 , 074502 (2006)] Gulez, Emel; Gray, Alan; Wingate, Matthew Physical Review D, Vol. 75, Issue 11 https://doi.org/10.1103/PhysRevD.75.119906	journal	June 2007
$Λ_{b} \to p$ , $Λ$ transition form factors from QCD light-cone sum rules Wang, Yu-Ming; Shen, Yue-Long; Lü, Cai-Dian Physical Review D, Vol. 80, Issue 7 https://doi.org/10.1103/PhysRevD.80.074012	journal	October 2009
Renormalization of heavy-light bilinears and fB for Wilson fermions Eichten, Estia; Hill, Brian Physics Letters B, Vol. 240, Issue 1-2 https://doi.org/10.1016/0370-2693(90)90432-6	journal	April 1990
One-loop operator matching in the static heavy and domain-wall light quark system with O(a) improvement Ishikawa, Tomomi; Aoki, Yasumichi; Flynn, Jonathan M. Journal of High Energy Physics, Vol. 2011, Issue 5 https://doi.org/10.1007/JHEP05(2011)040	journal	May 2011
Non-Lagrangian Models of Current Algebra Wilson, Kenneth G. Physical Review, Vol. 179, Issue 5 https://doi.org/10.1103/PhysRev.179.1499	journal	March 1969
The Chroma Software System for Lattice QCD Edwards, Robert G.; Joó, Bálint Nuclear Physics B - Proceedings Supplements, Vol. 140 https://doi.org/10.1016/j.nuclphysbps.2004.11.254	journal	March 2005

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Title: Λ_b→pl⁻ν¯_l form factors from lattice QCD with static b quarks