The Collision energy dependence of dijet cross-sections as a probe of BFKL physics

The dependence of the subprocess cross section for dijet production at fixed transverse momentum on the (large) rapidity separation Delta y of the dijets can be used to test for `BFKL physics', i.e. the presence of higher--order (alphas log(Delta y)^n contributions. Unfortunately in practice these subtle effects are masked by the additional, stronger dependence arising from the parton distributions. We propose a simple ratio test using two different collider energies n which the parton distribution dependence largely cancels. Such a ratio does distinguish between the `asymptotic' analytic BFKL and lowest-order QCD predictions. However, when subasymptotic effects from overall energy-momentum conservation are included, the BFKL predictions for present collider energies change qualitatively. In particular, the real gluon emission contributions to the BFKL cross section are suppressed. The proposed ratio therefore provides an interesting laboratory for studying the interplay of leading-logarithm and kinematic effects.

Note:

13 pages LaTeX, uses epsf; Fig. 2 corrected; conclusions unchanged; version to be published in Phys. Lett. B Report-no: UR-1510, DTP/97/116

anti-p p: annihilation
jet: pair production
cross section: energy dependence
transverse momentum
rapidity: difference
Lipatov equation
quantum chromodynamics
cross section: ratio
numerical calculations
630: 1800 GeV-cms

References(29)

Figures(0)

Reggeization of the Vector Meson and the Vacuum Singularity in Nonabelian Gauge Theories

L.N. Lipatov
(
- St. Petersburg, INP
)

- Sov.J.Nucl.Phys. 23 (1976) 338-345,
- Yad.Fiz. 23 (1976) 642-656

The Pomeranchuk Singularity in Nonabelian Gauge Theories

- Sov.Phys.JETP 45 (1977) 199-204,
- Zh.Eksp.Teor.Fiz. 72 (1977) 377-389

The Pomeranchuk Singularity in Quantum Chromodynamics

- Sov.J.Nucl.Phys. 28 (1978) 822-829,
- Yad.Fiz. 28 (1978) 1597-1611

- Nucl.Phys.B Proc.Suppl. 39 58

Forward jets at HERA and at the Tevatron

Vittorio Del Duca
(
- Edinburgh U.
)

•
e-Print:
- hep-ph/9608426

An Inclusive Minijet Cross-Section and the Bare Pomeron in QCD

Alfred H. Mueller
(
- Saclay, SPhT
)
,
H. Navelet
(
- Saclay, SPhT
)

- Nucl.Phys.B 282 (1987) 727-744
•
DOI:
- 10.1016/0550-3213(87)90705-X

Dijet production at large rapidity intervals

Vittorio Del Duca
(
- DESY
)
,
Carl R. Schmidt
(
- UC, Santa Cruz
)

- Phys.Rev.D 49 (1994) 4510-4516
•
e-Print:
- hep-ph/9311290
•
DOI:
- 10.1103/PhysRevD.49.4510

Production of jet pairs at large relative rapidity in hadron hadron collisions as a probe of the perturbative pomeron

W.James Stirling
(
- Durham U.
)

- Nucl.Phys.B 423 (1994) 56-79
•
e-Print:
- hep-ph/9401266
•
DOI:
- 10.1016/0550-3213(94)90565-7

- Phys.Rev.D 51 215

- Nucl.Phys.B Proc.Suppl. 39 137

A Monte Carlo solution to the BFKL equation

Carl R. Schmidt
(
- Michigan State U.
)

- Phys.Rev.Lett. 78 (1997) 4531-4535
•
e-Print:
- hep-ph/9612454
•
DOI:
- 10.1103/PhysRevLett.78.4531

Dijet production at hadron hadron colliders in the BFKL approach

Lynne H. Orr
(
- Rochester U.
)
,
W.James Stirling
(
- Durham U.
)

- Phys.Rev.D 56 (1997) 5875-5884
•
e-Print:
- hep-ph/9706529
•
DOI:
- 10.1103/PhysRevD.56.5875

Improved parton distributions from global analysis of recent deep inelastic scattering and inclusive jet data

H.L. Lai
(
- Michigan State U.
)
,
J. Huston
(
- Michigan State U.
)
,
S. Kuhlmann
(
- Argonne
)
,
Fredrick I. Olness
(
- Southern Methodist U.
)
,
Joseph F. Owens
(
- Florida State U.
)

et al.

- Phys.Rev.D 55 (1997) 1280-1296
•
e-Print:
- hep-ph/9606399
•
DOI:
- 10.1103/PhysRevD.55.1280

Dynamical parton distributions of the proton and small x physics

- Z.Phys.C 67 (1995) 433-448
•
DOI:
- 10.1007/BF01624586

High-Energy Production of Gluons in a QuasimultiRegge Kinematics

Victor S. Fadin
(
- Novosibirsk, IYF
)
,
L.N. Lipatov
(
- Novosibirsk, IYF
)

- JETP Lett. 49 (1989) 352,
- Yad.Fiz. 50 (1989) 1141-1153,
- Sov.J.Nucl.Phys. 50 (1989) 712,
- JETP LETT. 49 (1989) 352-356. (PISMA ZH. EKSP. TEOR. FIZ. 49 (1989) 311-314)

Radiative corrections to QCD scattering amplitudes in a multi - Regge kinematics

Victor S. Fadin
(
- Durham U.
)
,
L.N. Lipatov
(
- Orsay, IPN and
- Paris U., VI-VII
)

- Nucl.Phys.B 406 (1993) 259-292
•
DOI:
- 10.1016/0550-3213(93)90168-O

Quark contribution to the gluon-gluon - reggeon vertex in QCD

Victor S. Fadin
(
- Calabria U. and
- INFN, Cosenza
)
,
R. Fiore
(
- Calabria U. and
- INFN, Cosenza
)

- Phys.Lett.B 294 (1992) 286-292
•
DOI:
- 10.1016/0370-2693(92)90696-2

Radiative corrections to quark quark reggeon vertex in QCD

Victor S. Fadin
(
- Calabria U. and
- INFN, Cosenza
)
,
R. Fiore
(
- Calabria U. and
- INFN, Cosenza
)
,
A. Quartarolo
(
- Calabria U. and
- INFN, Cosenza
)

- Phys.Rev.D 50 (1994) 2265-2276,
- Phys. Rev. D50 (1994) 2265-2276, and Preprint - Fadin, V. (93/07,rec.Oct.) 29 p
•
e-Print:
- hep-ph/9310252
•
DOI:
- 10.1103/PhysRevD.50.2265