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\title{BFKL Catch Up!}

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\author{{\slshape Florian Schwennsen$^1$}\\[1ex]
$^1$DESY, Notketra{\ss}e 85, 22607 Hamburg, Germany\\ }

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\maketitle

\begin{abstract}
I give a brief overview over the most recent progress in the field of standard dilute BFKL.
\end{abstract}

\section{Introduction}

Although there is hardly any doubt that Quantum Chromodynamics (QCD) is the proper theory to describe strong interactions, it is still far away from being completely solved. Even at large scales where the coupling constant becomes small, a perturbative calculation at a fixed order is not the end of the story. Whenever one considers kinematic regions characterized by two different large scales, logarithms of the ratio of these two scales appear at each order of perturbation theory and -- being large -- compensate the smallness of the coupling. A resummation of logarithms of the type $[\alpha_s\ln s]^n$  is realized by the leading logarithmic (LL) Balitsky-Fadin-Kuraev-Lipatov (BFKL) \cite{Fadin:1975cb,Kuraev:1976ge,Kuraev:1977fs,Balitsky:1978ic} equation. It took almost twenty years to extend it to next-to-leading logarithmic accuracy (NLL) by resumming terms of the type $\alpha_s[\alpha_s\ln s]^n$ as well \cite{Fadin:1998py,Ciafaloni:1998gs}.

Both the LL and the NLL BFKL equation are still being studied with great eagerness to improve the accuracy of theoretical predictions for concrete observables as well as to increase our fundamental knowledge about quantum field theory itself. The aim of my contribution to the 13th International Conference on Elastic and Diffractive Scattering is to give an overview over the most recent progresses. An exhaustive discussion of them at this place is not possible. That's why I strongly encourage the reader to have a look at the original works instead and to consider this short article just as an appetizer.

\section{Recent Developments}

The ``gold-plated'' process to test BFKL dynamics is the scattering of virtual photons. The virtualities of the photons can be tuned to be of equal, or at least similar, scale such that DGLAP like evolution in the transverse momenta is suppressed offering a clean environment described by the BFKL equation. In Ref.~\cite{Caporale:2007vs} an already existing NLL BFKL calculation of the production of two vector mesons \cite{Ivanov:2005gn,Ivanov:2006gt} has been collinearly improved leading to more `sensible' energy scales. The same team has studied the total hadronic cross section of virtual photon scattering in the NLL approach \cite{Caporale:2008is}. With the inclusion of the LO quark box contribution an agreement with OPAL data \cite{Abbiendi:2001tv} has been obtained.

Another very famous candidate for BFKL physics are forward jets in hadron collisions. In Ref.~\cite{Chevallier:2009cu} such jets with a large rapidity gap in between have been investigated and the authors obtain a good agreement with Tevatron data \cite{Abbott:1998jb,Abe:1997ie}. NLL BFKL calculations for Mueller-Navelet jets \cite{Mueller:1986ey} exist already a bit longer \cite{Vera:2007kn,Marquet:2007xx} and suffer from the same handicap as all previously mentioned NLL BFKL calculations: the impact factors are taken into account only at LO accuracy. However, a full NLL BFKL calculation of Mueller-Navelet jets is under way \cite{CSSW}.

Phenomenologically very interesting is the revival of the `discrete Pomeron' which recently has been studied \cite{Ellis:2008yp} to describe HERA data (see also the according contribution at this conference). A phenomenological topic which became extremely popular due to the advent of the LHC is the central in- or exclusive production of Higgs particles or other objects with the appropriate quantum numbers \cite{Pasechnik:2007hm,Peschanski:2008mn,Cudell:2008gv,Heinemeyer:2008pk,Khoze:2008cx,Andersen:2008gc,Chaichian:2009ts,Chachamis:2009ks} (since at this conference a whole session was dedicated to this subject, I refer to the according contributions as well).

Also on the more theoretical side impressing progress has been made. In Ref.~\cite{Balitsky:2008zza} the NLO evolution of colour dipoles has been calculated. The linear version of this evolution should reproduce the BFKL equation. While at LL this is easily verified, at NLL there were some discrepancies to the calculation of the NLL BFKL kernel in the M{\"o}bis representation \cite{Fadin:2007de,Fadin:2007ee}. It was just recently \cite{Fadin:2009za} that the situation could be clarified. Still under investigation is the issue of conformal invariance. This feature of the LL kernel is obviously spoilt by the running of the coupling at NLL. However the approach of Ref.~\cite{Balitsky:2008zza} additionally induces artificial conformal variant terms due to their regularization procedure and also the approach of Ref.~\cite{Fadin:2007de,Fadin:2007ee} produces conformal variant terms which are not caused by the running of the coupling. Most probably they are connected to scale ambiguities.

As another consequence of the running coupling, the LO eigen-functions $(k^2)^\gamma$ of the LL kernel are eigen-functions of the NLL kernel only if one accepts the eigen-value to become an operator. This problem has been addressed in two recent works. One idea is to shift $\gamma$ by $\alpha_s\beta_0/(4\pi)$ such that formally the eigen-equation is only violated beyond the accuracy one is working at \cite{Bondarenko:2008uc}. Another idea is to numerically solve the eigen-equation \cite{Ross:2008ur}. Unfortunately none of these three ways  is completely satisfactory.

I would also like to draw the reader's attention to two not quite pigeonholable but nevertheless very interesting publications. In Ref.~\cite{Avsar:2008ph,Avsar:2009yb} a remarkable relation between soft gluons away from jets in electron positron annihilations and the BFKL equation in coordinate space has been identified and studied. 
In Ref.~\cite{Motyka:2009gi} it is shown how the correct treatment of kinematics can improve the LO colour dipole evolution in colour dipole perturbation theory, and that as a natural consequence large dipoles are suppressed.

Related to the BFKL equation is the BKP equation \cite{Bartels:1980pe,Kwiecinski:1980wb} for the evolution of three instead of two gluons. It's solution is called the Odderon since it is $C$-odd while the Pomeron is $C$-even. Two solutions to the LL BKP equation are known: the so called JW-Odderon \cite{Janik:1998xj} with an intercept smaller than 1, and the BLV-Odderon \cite{Bartels:1999yt} with an intercept identical to 1.
Now, in Ref.~\cite{Braun:2007kz} it has been shown that the intercept of the BLV-Odderon remains to be 1 even if the running of the coupling is taken into account, and in Ref.~\cite{Stasto:2009bc} the intercept has been shown to remain stable against complete higher order corrections. The Odderon has also been investigated in the context if gauge/string duality where the counterpart of the Odderon can be identified with the Kalb-Ramond field in Type IIB string theory \cite{Brower:2008cy,Brower:2009zz}. It should also be mentioned that there are new proposals to search for the perturbative Odderon in experiments \cite{Bzdak:2007cz,Pire:2008xe}.

At the moment, supersymmetry is one of the most actively studied issues in high energy physics. The $\mathcal{N}=4$ case is especially interesting because the complete vanishing of the \mbox{$\beta$-function} to all orders makes the theory conformal invariant. Moreover it is supposed to be related to string theory by AdS/CFT correspondence.
In $\mathcal{N}=4$ supersymmetry the asymptotic Bethe ansatz \cite{Beisert:2005fw} is accurate to three-loop order. The correct result for the anomalous dimension has to meet the BFKL pole structure which -- due to the resummation -- is in some sense an all order result. This interplay has been studied in detail in Ref.~\cite{Kotikov:2007cy}.

It is known that the all order BDS ansatz \cite{Bern:2005iz} for maximally helicity violating scattering amplitudes in $\mathcal{N}=4$ supersymmetry is wrong for more than five external legs \cite{Alday:2007hr,Drummond:2007bm}.  In Refs.~\cite{Bartels:2008ce,DelDuca:2008jg,Brower:2008nm} the origin of this mismatch has been further investigated and could {\it e.g.} be traced to a class of diagram whose cut contribution is missed. Many more objects in the BFKL world are now on the way to be reinvestigated in the $\mathcal{N}=4$ supersymmetric case, like the $R$-current impact factors \cite{Bartels:2008zy,Bartels:2009sc} -- which can be considered to be the counterpart of the virtual photon impact factor -- or like the triple Pomeron vertex \cite{Bartels:2009ms}.

\section{Outlook}

This is just a very packed presentation of the latest news in BFKL physics. Since (fortunately) there are no strict borders between the different subfields of physics, I might have missed some works which one could as well include in such a collection. Therefore, I apologize for not being literally complete. Moreover, I apologize for not summarizing because I am sure that the chapter of BFKL physics is not yet completed.

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\begin{footnotesize}
\begin{thebibliography}{10}

\bibitem{Fadin:1975cb}
Victor~S. Fadin, E.~A. Kuraev, and L.~N. Lipatov.
\newblock On the {P}omeranchuk singularity in asymptotically free theories.
\newblock {\em Phys. Lett.}, B60:50--52, 1975.

\bibitem{Kuraev:1976ge}
E.~A. Kuraev, L.~N. Lipatov, and Victor~S. Fadin.
\newblock Multi - {R}eggeon processes in the {Y}ang-{M}ills theory.
\newblock {\em Sov. Phys. JETP}, 44:443--450, 1976.

\bibitem{Kuraev:1977fs}
E.~A. Kuraev, L.~N. Lipatov, and Victor~S. Fadin.
\newblock The {P}omeranchuk singularity in nonabelian gauge theories.
\newblock {\em Sov. Phys. JETP}, 45:199--204, 1977.

\bibitem{Balitsky:1978ic}
I.~I. Balitsky and L.~N. Lipatov.
\newblock The {P}omeranchuk singularity in quantum {C}hromodynamics.
\newblock {\em Sov. J. Nucl. Phys.}, 28:822--829, 1978.

\bibitem{Fadin:1998py}
Victor~S. Fadin and L.~N. Lipatov.
\newblock {BFKL} {P}omeron in the next-to-leading approximation.
\newblock {\em Phys. Lett.}, B429:127--134, 1998, hep-ph/9802290.

\bibitem{Ciafaloni:1998gs}
Marcello Ciafaloni and Gianni Camici.
\newblock Energy scale(s) and next-to-leading {BFKL} equation.
\newblock {\em Phys. Lett.}, B430:349--354, 1998, hep-ph/9803389.

\bibitem{Caporale:2007vs}
F.~Caporale, A.~Papa, and A.~Sabio~Vera.
\newblock Collinear improvement of the {BFKL} kernel in the electroproduction
  of two light vector mesons.
\newblock {\em Eur. Phys. J.}, C53:525--532, 2008, 0707.4100.

\bibitem{Ivanov:2005gn}
D.~Yu. Ivanov and A.~Papa.
\newblock Electroproduction of two light vector mesons in the next-to-leading
  approximation.
\newblock {\em Nucl. Phys.}, B732:183--199, 2006, hep-ph/0508162.

\bibitem{Ivanov:2006gt}
D.~Yu. Ivanov and A.~Papa.
\newblock Electroproduction of two light vector mesons in next-to- leading
  {BFKL}: Study of systematic effects.
\newblock 2006, hep-ph/0610042.

\bibitem{Caporale:2008is}
Francesco Caporale, Dmitry~Yu. Ivanov, and Alessandro Papa.
\newblock {BFKL resummation effects in the {$\gamma^* \gamma^*$} total hadronic
  cross section}.
\newblock {\em Eur. Phys. J.}, C58:1--7, 2008, 0807.3231.

\bibitem{Abbiendi:2001tv}
G.~Abbiendi et~al.
\newblock Measurement of the hadronic cross-section for the scattering of two
  virtual photons at {LEP}.
\newblock {\em Eur. Phys. J.}, C24:17--31, 2002, hep-ex/0110006.

\bibitem{Chevallier:2009cu}
F.~Chevallier, O.~Kepka, C.~Marquet, and C.~Royon.
\newblock {Gaps between jets at hadron colliders in the next-to- leading BFKL
  framework}.
\newblock {\em Phys. Rev.}, D79:094019, 2009, 0903.4598.

\bibitem{Abbott:1998jb}
B.~Abbott et~al.
\newblock {Probing hard color-singlet exchange in $p\bar{p}$ collisions at
  $\sqrt{s} = 630$ GeV and 1800 GeV}.
\newblock {\em Phys. Lett.}, B440:189--202, 1998, hep-ex/9809016.

\bibitem{Abe:1997ie}
F.~Abe et~al.
\newblock {Dijet production by color-singlet exchange at the Fermilab
  Tevatron}.
\newblock {\em Phys. Rev. Lett.}, 80:1156--1161, 1998.

\bibitem{Mueller:1986ey}
Alfred~H. Mueller and H.~Navelet.
\newblock An inclusive minijet cross-section and the bare {P}omeron in {QCD}.
\newblock {\em Nucl. Phys.}, B282:727, 1987.

\bibitem{Vera:2007kn}
Agust{\' \i}n Sabio~Vera and Florian Schwennsen.
\newblock The azimuthal decorrelation of jets widely separated in rapidity as a
  test of the {BFKL} kernel.
\newblock {\em Nucl. Phys.}, B776:170--186, 2007, hep-ph/0702158.

\bibitem{Marquet:2007xx}
C.~Marquet and C.~Royon.
\newblock Azimuthal decorrelation of {Mueller-Navelet} jets at the {Tevatron}
  and the {LHC}.
\newblock {\em Phys. Rev.}, D79:034028, 2009, 0704.3409.

\bibitem{CSSW}
D.~Colferai, F.~Schwennsen, L~Szymanowski, and S.~Wallon.
\newblock to be published.

\bibitem{Ellis:2008yp}
J.~Ellis, H.~Kowalski, and D.~A. Ross.
\newblock {Evidence for the Discrete Asymptotically-Free BFKL Pomeron from HERA
  Data}.
\newblock 2008, arXiv:0803.0258 [hep-ph].

\bibitem{Pasechnik:2007hm}
R.~S. Pasechnik, A.~Szczurek, and O.~V. Teryaev.
\newblock {Central exclusive production of scalar {$\chi_c$} meson at the
  Tevatron, RHIC and LHC energies}.
\newblock {\em Phys. Rev.}, D78:014007, 2008, 0709.0857.

\bibitem{Peschanski:2008mn}
Robi Peschanski, M.~Rangel, and C.~Royon.
\newblock {Hybrid Pomeron Model of exclusive central diffractive production}.
\newblock 2008, 0808.1691.

\bibitem{Cudell:2008gv}
J.~R. Cudell, A.~Dechambre, O.~F. Hernandez, and I.~P. Ivanov.
\newblock {Central exclusive production of dijets at hadronic colliders}.
\newblock {\em Eur. Phys. J.}, C61:369--390, 2009, 0807.0600.

\bibitem{Heinemeyer:2008pk}
S.~Heinemeyer et~al.
\newblock {Central Exclusive Diffractive MSSM Higgs-Boson Production at the
  LHC}.
\newblock {\em J. Phys. Conf. Ser.}, 110:072016, 2008, 0801.1974.

\bibitem{Khoze:2008cx}
V.~A. Khoze, A.~D. Martin, and M.~G. Ryskin.
\newblock {Early LHC measurements to check predictions for central exclusive
  production}.
\newblock {\em Eur. Phys. J.}, C55:363--375, 2008, 0802.0177.

\bibitem{Andersen:2008gc}
Jeppe~R. Andersen, Vittorio Del~Duca, and Chris~D. White.
\newblock {Higgs Boson Production in Association with Multiple Hard Jets}.
\newblock {\em JHEP}, 02:015, 2009, 0808.3696.

\bibitem{Chaichian:2009ts}
M.~Chaichian, P.~Hoyer, K.~Huitu, V.~A. Khoze, and A.~D. Pilkington.
\newblock {Searching for the triplet Higgs sector via central exclusive
  production at the LHC}.
\newblock 2009, 0901.3746.

\bibitem{Chachamis:2009ks}
G.~Chachamis, M.~Hentschinski, A.~Sabio Vera, and C.~Salas.
\newblock {Exclusive central production of heavy quarks at the LHC}.
\newblock 2009, 0911.2662.

\bibitem{Balitsky:2008zza}
Ian Balitsky and Giovanni~A. Chirilli.
\newblock {Next-to-leading order evolution of color dipoles}.
\newblock {\em Phys. Rev.}, D77:014019, 2008, 0710.4330.

\bibitem{Fadin:2007de}
V.~S. Fadin, R.~Fiore, A.~V. Grabovsky, and A.~Papa.
\newblock {The dipole form of the gluon part of the BFKL kernel}.
\newblock {\em Nucl. Phys.}, B784:49--71, 2007, 0705.1885.

\bibitem{Fadin:2007ee}
Victor~S. Fadin, Roberto Fiore, and Alessandro Papa.
\newblock {The dipole form of the quark part of the BFKL kernel}.
\newblock {\em Phys. Lett.}, B647:179--184, 2007, hep-ph/0701075.

\bibitem{Fadin:2009za}
V.~S. Fadin, R.~Fiore, and A.~V. Grabovsky.
\newblock {On the discrepancy of the low-{$x$} evolution kernels}.
\newblock {\em Nucl. Phys.}, B820:334--363, 2009, 0904.0702.

\bibitem{Bondarenko:2008uc}
Sergey Bondarenko.
\newblock {Conformal intercept of BFKL pomeron with NLO running coupling
  constant corrections}.
\newblock 2008, 0808.3175.

\bibitem{Ross:2008ur}
D.~A. Ross.
\newblock {Perturbative Estimates of the Eigenfunctions of the Non- forward
  BFKL Kernel}.
\newblock {\em Phys. Lett.}, B668:233--237, 2008, 0805.1004.

\bibitem{Avsar:2008ph}
Emil Avsar and Yoshitaka Hatta.
\newblock {Quantitative study of the transverse correlation of soft gluons in
  high energy QCD}.
\newblock {\em JHEP}, 09:102, 2008, 0805.0710.

\bibitem{Avsar:2009yb}
Emil Avsar, Yoshitaka Hatta, and Toshihiro Matsuo.
\newblock {Soft gluons away from jets: distribution and correlation}.
\newblock {\em JHEP}, 06:011, 2009, 0903.4285.

\bibitem{Motyka:2009gi}
Leszek Motyka and Anna~M. Sta{\'s}to.
\newblock {Exact kinematics in the small x evolution of the color dipole and
  gluon cascade}.
\newblock {\em Phys. Rev.}, D79:085016, 2009, 0901.4949.

\bibitem{Bartels:1980pe}
Jochen Bartels.
\newblock High-energy behavior in a nonabelian gauge theory. 2. first
  corrections to {T({$n\to m$})} beyond the leading ln s approximation.
\newblock {\em Nucl. Phys.}, B175:365, 1980.

\bibitem{Kwiecinski:1980wb}
J.~Kwiecinski and M.~Praszalowicz.
\newblock {Three Gluon Integral Equation and Odd {$C$} Singlet Regge
  Singularities in QCD}.
\newblock {\em Phys. Lett.}, B94:413, 1980.

\bibitem{Janik:1998xj}
R.~A. Janik and J.~Wosiek.
\newblock {Solution of the odderon problem}.
\newblock {\em Phys. Rev. Lett.}, 82:1092--1095, 1999, hep-th/9802100.

\bibitem{Bartels:1999yt}
Jochen Bartels, L.~N. Lipatov, and G.~P. Vacca.
\newblock {A New Odderon Solution in Perturbative QCD}.
\newblock {\em Phys. Lett.}, B477:178--186, 2000, hep-ph/9912423.

\bibitem{Braun:2007kz}
M.~A. Braun.
\newblock {Odderon with a running coupling constant}.
\newblock {\em Eur. Phys. J.}, C53:59--63, 2008, 0707.2314.

\bibitem{Stasto:2009bc}
Anna~M. Sta{\'s}to.
\newblock {Small {$x$} resummation and the Odderon}.
\newblock {\em Phys. Lett.}, B679:288--292, 2009, 0904.4124.

\bibitem{Brower:2008cy}
Richard~C. Brower, Marko Djuric, and Chung-I Tan.
\newblock {The Kalb-Ramond Odderon in AdS/CFT}.
\newblock 2008, 0812.0354.

\bibitem{Brower:2009zz}
Richard~C. Brower, Marko Djuric, and Chung-I. Tan.
\newblock {Odderon in gauge/string duality}.
\newblock {\em JHEP}, 07:063, 2009.

\bibitem{Bzdak:2007cz}
A.~Bzdak, L.~Motyka, L.~Szymanowski, and J.~R. Cudell.
\newblock {Exclusive J/{$\psi$} and {$\Upsilon$} hadroproduction and the QCD
  odderon}.
\newblock {\em Phys. Rev.}, D75:094023, 2007, hep-ph/0702134.

\bibitem{Pire:2008xe}
B.~Pire, F.~Schwennsen, L.~Szymanowski, and S.~Wallon.
\newblock {Hard Pomeron-Odderon interference effects in the production of
  {$\pi^+\pi^-$}- pairs in high energy gamma-gamma collisions at the LHC}.
\newblock {\em Phys. Rev.}, D78:094009, 2008, 0810.3817.

\bibitem{Beisert:2005fw}
Niklas Beisert and Matthias Staudacher.
\newblock {Long-range PSU(2,2|4) Bethe ansaetze for gauge theory and strings}.
\newblock {\em Nucl. Phys.}, B727:1--62, 2005, hep-th/0504190.

\bibitem{Kotikov:2007cy}
A.~V. Kotikov, L.~N. Lipatov, A.~Rej, M.~Staudacher, and V.~N. Velizhanin.
\newblock {Dressing and Wrapping}.
\newblock {\em J. Stat. Mech.}, 0710:P10003, 2007, 0704.3586.

\bibitem{Bern:2005iz}
Zvi Bern, Lance~J. Dixon, and Vladimir~A. Smirnov.
\newblock {Iteration of planar amplitudes in maximally supersymmetric
  Yang-Mills theory at three loops and beyond}.
\newblock {\em Phys. Rev.}, D72:085001, 2005, hep-th/0505205.

\bibitem{Alday:2007hr}
Luis~F. Alday and Juan~Martin Maldacena.
\newblock {Gluon scattering amplitudes at strong coupling}.
\newblock {\em JHEP}, 06:064, 2007, 0705.0303.

\bibitem{Drummond:2007bm}
J.~M. Drummond, J.~Henn, G.~P. Korchemsky, and E.~Sokatchev.
\newblock {The hexagon Wilson loop and the BDS ansatz for the six- gluon
  amplitude}.
\newblock {\em Phys. Lett.}, B662:456--460, 2008, 0712.4138.

\bibitem{Bartels:2008ce}
J.~Bartels, L.~N. Lipatov, and Agustin Sabio~Vera.
\newblock {BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes}.
\newblock {\em Phys. Rev.}, D80:045002, 2009, 0802.2065.

\bibitem{DelDuca:2008jg}
V.~Del~Duca, C.~Duhr, and E.~W.~N. Glover.
\newblock {Iterated amplitudes in the high-energy limit}.
\newblock {\em JHEP}, 12:097, 2008, 0809.1822.

\bibitem{Brower:2008nm}
Richard~C. Brower, Horatiu Nastase, Howard~J. Schnitzer, and Chung-I Tan.
\newblock {Implications of multi-Regge limits for the Bern-Dixon- Smirnov
  conjecture}.
\newblock {\em Nucl. Phys.}, B814:293--326, 2009, 0801.3891.

\bibitem{Bartels:2008zy}
J.~Bartels, A.~M. Mischler, and M.~Salvadore.
\newblock {Four point function of R-currents in N=4 SYM in the Regge limit at
  weak coupling}.
\newblock {\em Phys. Rev.}, D78:016004, 2008, 0803.1423.

\bibitem{Bartels:2009sc}
J.~Bartels, J.~Kotanski, A.~M. Mischler, and V.~Schomerus.
\newblock {Regge limit of R-current correlators in AdS Supergravity}.
\newblock 2009, 0908.2301.

\bibitem{Bartels:2009ms}
Jochen Bartels, Martin Hentschinski, and Anna-Maria Mischler.
\newblock {The topology of the triple Pomeron vertex in N=4 SYM}.
\newblock {\em Phys. Lett.}, B679:460--466, 2009, 0906.3640.

\end{thebibliography}
\end{footnotesize}

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