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Presentations / SUSY_2015 / RD / mchrzasz.tex~
@mchrzasz mchrzasz on 14 Aug 2015 27 KB added RD presentation for SUSY
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  202.  
  203.  
  204.  
  205. \author{ {\fontspec{Trebuchet MS}Marcin Chrz\k{a}szcz} (Universit\"{a}t Z\"{u}rich)}
  206. \institute{UZH}
  207. \title[Electroweak penguin decays to leptons and Radiative decays at LHCb]{Electroweak penguin decays to leptons and Radiative decays at LHCb}
  208. \date{25 September 2014}
  209.  
  210.  
  211. \begin{document}
  212. \tikzstyle{every picture}+=[remember picture]
  213.  
  214. {
  215. \setbeamertemplate{sidebar right}{\llap{\includegraphics[width=\paperwidth,height=\paperheight]{bubble2}}}
  216. \begin{frame}[c]%{\phantom{title page}}
  217. \begin{center}
  218. \begin{center}
  219. \begin{columns}
  220. \begin{column}{0.75\textwidth}
  221. \flushright\fontspec{Trebuchet MS}\bfseries \LARGE {Electroweak penguin decays to leptons and Radiative decays at LHCb}
  222. \end{column}
  223. \begin{column}{0.02\textwidth}
  224. {~}
  225. \end{column}
  226. \begin{column}{0.23\textwidth}
  227. % \hspace*{-1.cm}
  228. \vspace*{-3mm}
  229. \includegraphics[width=0.6\textwidth]{lhcb-logo}
  230. \end{column}
  231.  
  232. \end{columns}
  233. \end{center}
  234. \quad
  235. \vspace{3em}
  236. \begin{columns}
  237. \begin{column}{0.44\textwidth}
  238. \flushright \vspace{-1.8em} {\fontspec{Trebuchet MS} \Large Marcin Chrząszcz\\\vspace{-0.1em}\small \href{mailto:mchrzasz@cern.ch}{mchrzasz@cern.ch}}
  239.  
  240. \end{column}
  241. \begin{column}{0.53\textwidth}
  242. \includegraphics[height=1.3cm]{uzh-transp}
  243. \end{column}
  244. \end{columns}
  245.  
  246. \vspace{1em}
  247. % \footnotesize\textcolor{gray}{With N. Serra, B. Storaci\\Thanks to the theory support from M. Shaposhnikov, D. Gorbunov}\normalsize\\
  248. \vspace{0.5em}
  249.  
  250. \textcolor{normal text.fg!50!Comment}{Zurich meeting, CERN\\September 24, 2014}
  251. \end{center}
  252. \end{frame}
  253. }
  254.  
  255.  
  256. \section[Outline]{}
  257. \begin{frame}
  258. %\tableofcontents
  259. %FIXME!
  260. \begin{enumerate}
  261. \item Rare $\PB$ decays:
  262. \begin{itemize}
  263. \item $\PB^+ \to \PK^+ \Ppi^- \Ppi^+ \Pphoton$
  264. \item $\PBs/\PBzero \to \mu^- \mu^+$.
  265. \item $\PBzero \to \PKstar \Pmuon \APmuon$.
  266. \end{itemize}
  267.  
  268. \end{enumerate}
  269.  
  270. \end{frame}
  271.  
  272. %-------------------------------------------------------------------
  273. % Introduction
  274. %-------------------------------------------------------------------
  275. %
  276. % Set the background for the rest of the slides.
  277. % Insert infoline
  278. %\setbeamertemplate{background}
  279. % {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}}
  280. %\setbeamertemplate{footline}[bunsentheme]
  281.  
  282.  
  283.  
  284. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  285. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  286.  
  287. %\setbeamertemplate{background}
  288. % {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}}
  289. %\setbeamertemplate{footline}[bunsentheme]
  290. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  291. %\section{LHCb detector}
  292.  
  293. %\begin{frame}\frametitle{LHCb detector}
  294. %\begin{columns}
  295. %\column{3.in}
  296. %\begin{center}
  297. %\includegraphics[width=0.98\textwidth]{det.jpg}
  298. %\end{center}
  299.  
  300. %\column{2.0in}
  301. %\begin{footnotesize}
  302.  
  303.  
  304. % LHCb is a forward spectrometer:
  305. % \begin{itemize}
  306. % \item Excellent vertex resolution.
  307. % \item Efficient trigger.
  308. % \item High acceptance for $\Ptau$ and $\PB$.
  309. % \item Great Particle ID
  310. % \end{itemize}
  311.  
  312.  
  313.  
  314. %\end{footnotesize}
  315. %\end{columns}
  316.  
  317. %\end{frame}
  318.  
  319. \section{Introduction}
  320.  
  321. \begin{frame}\frametitle{Why rare decays?}
  322. \begin{columns}
  323. \column{4in}
  324. \begin{itemize}
  325. \item In SM allows only the charged interactions to change flavour.
  326. \begin{itemize}
  327. \item Other interactions are flavour conserving.
  328. \end{itemize}
  329. \item One can escape this constrain and produce $\Pbottom \to \Pstrange$ and $\Pbottom \to \Pdown$ at loop level.
  330. \begin{itemize}
  331. \item This kind of processes are suppressed in SM $\to$~Rare decays.
  332. \item New Physics can enter in the loops.
  333. \end{itemize}
  334. \end{itemize}
  335. \begin{center}
  336. \includegraphics[scale=0.3]{susy/lupa.png}
  337. \includegraphics[scale=0.3]{susy/example.png}
  338. \end{center}
  339. \column{1.5in}
  340. \includegraphics[width=0.61\textwidth]{susy/couplings.png}
  341. \end{columns}
  342.  
  343. \end{frame}
  344.  
  345. \begin{frame}\frametitle{Tools}
  346. \begin{itemize}
  347. \item \textbf{Operator Product Expansion and Effective Field Theory}
  348. \end{itemize}
  349. \begin{columns}
  350. \column{0.1in}{~}
  351. \column{3.2in}
  352. \begin{align*}
  353. H_{eff} = - \dfrac{4G_f}{\sqrt{2}} V V^{\prime \ast}\ \sum_i \left[\underbrace{C_i(\mu)O_i(\mu)}_\text{left-handed} +\underbrace{C'_i(\mu)O'_i(\mu)}_\text{right-handed}\right],
  354. \end{align*}
  355.  
  356. \column{2in}
  357. \begin{tiny}
  358. \begin{description}
  359. \item[i=1,2] Tree
  360. \item[i=3-6,8] Gluon penguin
  361. \item[i=7] Photon penguin
  362. \item[i=9.10] EW penguin
  363. \item[i=S] Scalar penguin
  364. \item[i=P] Pseudoscalar penguin
  365. \end{description}
  366.  
  367. \end{tiny}
  368. \end{columns}
  369. where $C_i$ are the Wilson coefficients and $O_i$ are the corresponding effective operators.
  370. \begin{center}
  371. \includegraphics[width=0.85\textwidth,height=3cm]{susy/all.png}
  372.  
  373. \end{center}
  374.  
  375.  
  376. \end{frame}
  377.  
  378.  
  379.  
  380. \begin{frame}\frametitle{Radiative decays}
  381.  
  382. \begin{columns}
  383. \column{5in}
  384.  
  385. \begin{itemize}
  386. \item $\PBzero \to \PKstar \Pphoton$ - first observed penguin!
  387. \begin{itemize}
  388. \item CLEO, [\href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.71.674}{\color{blue}PRL, 71 (1993) 674}]
  389. \end{itemize}
  390. \item B-factories probed NP measuring, inclusively/ semi-inclusively $\mathcal{B}(\Pbeauty \to \Pstrange \Pphoton)$
  391. \end{itemize}
  392. \column{0.1in}{~}
  393.  
  394. \end{columns}
  395.  
  396.  
  397.  
  398. \begin{columns}
  399. \column{3in}
  400. \begin{itemize}
  401. \item Is there any way LHCb can contribute?
  402. \begin{itemize}
  403. \item Measurements of $\mathcal{B}(\Pbeauty \to \Pstrange \Pphoton)$ very difficult.
  404. \item Can probe the photon polarization!
  405. \end{itemize}
  406. \end{itemize}
  407. \column{2in}
  408. \includegraphics[width=0.85\textwidth]{susy/btosgamma.png}
  409. \end{columns}
  410. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
  411.  
  412.  
  413. \begin{columns}
  414. \column{5in}
  415.  
  416. \begin{itemize}
  417. \item In SM, photons form $\Pbeauty \to \Pstrange \Pphoton$ decays are left handed.
  418. \begin{itemize}
  419. \item Charged current interactions: $C_7/C'_7\sim m_{\Pbeauty}/m_{\Pstrange}$
  420. \end{itemize}
  421. \item Can test $C_7/C'_7$ using:
  422. \begin{itemize}
  423. \item Mixing induced CP violation: \href{http://arxiv.org/abs/hep-ph/9704272}{\color{blue}Atwood et. al. PRL 79 (1997) 185-188}
  424. \item $\PLambdab$ baryons: \href{http://arxiv.org/abs/hep-ph/0108074}{\color{blue}Hiller \& kagan PRD 65 (2002) 074038}
  425. \end{itemize}
  426. \end{itemize}
  427. \column{0.1in}{~}
  428.  
  429. \end{columns}
  430.  
  431. \end{frame}
  432. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
  433.  
  434. \begin{frame}\frametitle{Photon polarization from $\PB^+ \to \PK^{+} \Ppi^- \Ppi^+ \Pphoton$}
  435.  
  436.  
  437. \begin{columns}
  438. \column{3.5in}
  439.  
  440. \begin{itemize}
  441. \item OR: Study $\PB \to \PK^{\ast \ast} \Pphoton$ decays like $\PBplus \to \PK_1(1270) \Pphoton$
  442. \begin{itemize}
  443. \item \href{http://arxiv.org/abs/hep-ph/0205065}{\color{blue}Gronau \& Pirjol PRD 66 (2002) 054008}
  444. \end{itemize}
  445. \item The trick is to get the photon polarization from the up-down asymmetry of photon direction in the $\PK \Ppi \Ppi$ rest frame.
  446. \begin{itemize}
  447. \item No asymmetry $\rightarrow$ Unpolarised photons.
  448. \end{itemize}
  449. \item Conceptionally this measurement is similar to the Wu experiment, which first observed parity violation.
  450.  
  451.  
  452. \end{itemize}
  453. \column{1.5in}
  454.  
  455. \includegraphics[width=0.95\textwidth]{susy/polarization.png}
  456.  
  457. \end{columns}
  458. \end{frame}
  459. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  460. \begin{frame}\frametitle{$\PB^+ \to \PK^{+} \Ppi^- \Ppi^+ \Pphoton$ at LHCb}
  461.  
  462.  
  463. \begin{columns}
  464. \column{3.in}
  465.  
  466. \begin{itemize}
  467. \item LHCb looked at $\PBplus \to \PKplus \Ppiminus \Ppiplus \Pphoton$, using un-converted photons.
  468. \item Got over 13.000 candidates in $3~fb^{-1}$!
  469. \item \href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.161801}{\color{blue} Phys. Rev. Lett. 112, 161801 }
  470. \item $\PKplus \Ppiminus \Ppiplus$ system has variety of resonances.
  471. \begin{itemize}
  472. \item $\PK \Ppi \Ppi$ system studied inclusively.
  473. \item Bin the $m_{K\pi\pi}$ mass and look for polarization there.
  474. \end{itemize}
  475. \end{itemize}
  476. \column{2in}
  477. {~}
  478. \includegraphics[width=0.95\textwidth]{susy/plotspolarization.png}
  479.  
  480. \end{columns}
  481. \end{frame}
  482.  
  483. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  484. \begin{frame}%\frametitle{$\color{white} B^+ \to K^{+} \pi^- \pi^+ \gamma$ at LHCb}
  485. \begin{center}
  486. {\color{red} Fit with $\color{red}(C_7'-C_7)/(C_7'+C_7)=0$}, {\color{blue} Best fit}
  487. \includegraphics[width=0.93\textwidth]{susy/photonfit.png}
  488. \end{center}
  489.  
  490.  
  491. \end{frame}
  492.  
  493. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  494. \begin{frame}\frametitle{Up-down asymmetry}
  495.  
  496. \begin{columns}
  497. \column{3.in}
  498.  
  499. \begin{itemize}
  500. \item Combining the 4 bins, the hypothesis of non photon polarisation can be excluded with $5.2~\sigma$ significance.
  501. \item Unfortunately without understanding the hadron system it is impossible to tell if the photon is left or right -handed.
  502.  
  503. \end{itemize}
  504.  
  505. \column{2in}
  506. {~}
  507. \includegraphics[width=0.95\textwidth]{susy/aud.png}
  508.  
  509. \end{columns}
  510. \begin{center}
  511. $\rightarrow$~ First observation of photon polarization in $\Pbeauty \to \Pstrange \Pphoton$!
  512. \begin{itemize}
  513. \item Ideal solution would be to leave photon polarization free in the fit.
  514. \item No general description exist $\rightarrow$ input from theory community needed.
  515. \end{itemize}
  516.  
  517.  
  518. \end{center}
  519.  
  520.  
  521.  
  522. \end{frame}
  523.  
  524. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  525. \begin{frame}\frametitle{$\PB_{(s)} \rightarrow \Pmu^+ \Pmu^-$}
  526. \begin{columns}
  527. \column{3.2in}
  528.  
  529. \begin{itemize}
  530. \item Clean theoretical prediction, GIM and helicity suppressed in the SM:
  531. \begin{itemize}
  532. \item $\mathcal{B}(\PBs \to \Pmuon \APmuon) = (3.66 \pm 0.23)\times 10^{-9}$
  533. \item $\mathcal{B}(\PBzero \to \Pmuon \APmuon) = (1.06 \pm 0.09)\times 10^{-10}$
  534. \end{itemize}
  535. \item $50\%$ of the error comes from lattice.
  536. \item SM predictions from \href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.101801}{\color{blue}{Phys. Rev. Lett. 112, 101801 (2014)}}.
  537. \item Sensitive to contributions from scalar and pesudoscalar couplings.
  538. \item Probing: MSSM, higgs sector, etc.
  539. \item In MSSM: $\mathcal{B}(\PBs \to \Pmuon \APmuon) \sim \tan^6 \beta /m_A^4$
  540. \end{itemize}
  541.  
  542. \column{1.5in}
  543. {~}
  544. \includegraphics[width=0.95\textwidth]{susy/bs2mumu1.png}\\
  545. \includegraphics[width=0.95\textwidth]{susy/bs2mumu2.png}\\
  546. \includegraphics[width=0.6\textwidth]{susy/higgspen.png}
  547. \end{columns}
  548.  
  549.  
  550. \end{frame}
  551. \iffalse
  552. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  553. \begin{frame}\frametitle{$\PB_{(s)} \rightarrow \Pmu^+ \Pmu^-$ searches}
  554.  
  555.  
  556. \begin{columns}
  557. \column{5in}
  558.  
  559. \begin{itemize}
  560. \item Background rejection power is a key feature of rare decays $\rightarrow$ use multivariate classifiers (BDT) and strong PID.
  561. \end{itemize}
  562. \column{0.1in}{~}
  563.  
  564. \end{columns}
  565. \begin{columns}
  566. \column{2.5in}
  567. \includegraphics[width=0.95\textwidth]{susy/BDT.png}
  568.  
  569. \column{2.5in}
  570.  
  571. \includegraphics[width=0.95\textwidth]{susy/mass.png}
  572.  
  573. \end{columns}
  574.  
  575. \begin{itemize}
  576. \item Normalize the BF to $\PBplus \to \PJpsi(\mu\mu) \PKplus$ and $\PBzero \to \PK \Ppi$.
  577. \end{itemize}
  578. \end{frame}
  579.  
  580. \fi
  581. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  582. \begin{frame}\frametitle{$\PB_{(s)} \rightarrow \Pmu^+ \Pmu^-$ Results}
  583.  
  584.  
  585.  
  586. \begin{columns}
  587. \column{2.in}
  588. \begin{itemize}
  589. \item Nov. 2012:
  590. \begin{itemize}
  591. \item First evidence $3.5\sigma$ for $\PB_s \rightarrow \mu^+ \mu^-$. with $2.1~fb^{-1}$.
  592. \end{itemize}
  593. \item Summer 2013:
  594. \begin{itemize}
  595. \item Full data sample: $3~fb^{-1}$.
  596. \end{itemize}
  597. \end{itemize}
  598. \column{3.0in}
  599.  
  600. \includegraphics[width=0.95\textwidth]{susy/mass2.png}
  601.  
  602. \end{columns}
  603. \begin{itemize}
  604. \item Measured BF:\\ $\mathcal{B}(\PBs \to \Pmuon \APmuon) =(2.9^{+1.1}_{-1.0}(stat.)^{+0.3}_{-0.1}(syst.))\times 10^{-9}$
  605. \item $4.0 \sigma$ significance!
  606. \item $\mathcal{B}(\PBzero \to \Pmuon \APmuon) < 7 \times 10^{-10}$ at $95\%$ CL
  607. \item \href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.110.021801}{\color{blue} PRL 110 (2013) 021801 }
  608. \item \href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.111.101805}{\color{blue} CMS result: PRL 111 (2013) 101805}
  609. \end{itemize}
  610.  
  611.  
  612. \end{frame}
  613.  
  614.  
  615.  
  616.  
  617.  
  618. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  619. \begin{frame}\frametitle{LHCb+CMS combined analysis}
  620. \begin{Large}
  621.  
  622.  
  623. \begin{center}
  624. $\mathcal{B}(\PBs \to \Pmuon \APmuon) =(2.8^{+0.7}_{-0.6} )\times 10^{-9}$\\
  625. $\mathcal{B}(\PBzero \to \Pmuon \APmuon) =(3.9^{+1.6}_{-1.4} )\times 10^{-10}$
  626. \end{center}
  627. \end{Large}
  628.  
  629. \includegraphics[width=0.95\textwidth]{susy/bs2mumu_comb.png}
  630.  
  631. \begin{itemize}
  632. \item \href{http://arxiv.org/pdf/1411.4413v1.pdf}{\color{blue}Nature 522, 7554}
  633. %\item See Daniele Fasanella talk for CMS side.
  634. \end{itemize}
  635.  
  636. \end{frame}
  637.  
  638.  
  639.  
  640.  
  641.  
  642. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  643. \begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ angular distributions}
  644. \begin{columns}
  645. \column{2.5in}{~}
  646. \begin{itemize}
  647. \item $\Pbeauty \to \Pstrange \Plepton \Plepton$ decays poses large spectrum of observables.
  648. \item LHCb favourite: $\PBzero \to \PKstar \Pmuon \APmuon$.
  649. \item Sensitive to lot of new physics models.
  650. \item Decay described by three angles $\theta_l, \theta_K, \phi$ and dimuon invariant mass $q^2$.
  651. \item Analysis is performed in bins of $q^2$.
  652. \end{itemize}
  653. \column{2.5in}
  654. \includegraphics[width=0.95\textwidth]{susy/angles.png}
  655.  
  656. \end{columns}
  657. \end{frame}
  658. \begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ selection}
  659. \begin{center}
  660. \includegraphics[width=0.65\textwidth]{images/Fig1.pdf}
  661. \end{center}
  662. \begin{itemize}
  663. \item BDT to suppress combinatorial background.\\ Input variables: PID, kinematics and geometric quantities, isolations.
  664. \item Veto the $\PJpsi$ and $\Psi(2S)$ resonances.
  665. \item \href{http://lhcb.web.cern.ch/lhcb/Physics-Results/LHCb-CONF-2015-002.pdf}{\color{blue}{CONF-2015-002}}
  666. \end{itemize}
  667.  
  668.  
  669. \end{frame}
  670. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  671. \begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ mass modeling}
  672. \begin{columns}
  673. \column{0.05in}
  674. {~}
  675. \column{2.5in}
  676.  
  677. \column{2.5in}
  678.  
  679. \end{columns}
  680.  
  681.  
  682.  
  683. \end{frame}
  684.  
  685.  
  686.  
  687.  
  688.  
  689. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  690. \begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ angular distributions}
  691. \begin{itemize}
  692. \item Angular distributions depends on 11 angular terms:
  693. %\includegraphics[width=0.95\textwidth]{susy/eq.png}
  694. \tiny{
  695. \begin{align*}
  696. \left.\frac{1}{{\rm d}(\Gamma+\bar{\Gamma})/{\rm d}q^2}\frac{{\rm d}(\Gamma+\bar{\Gamma})}{{\rm dcos}\thetal\,{\rm dcos}\thetak\,{\rm d}\phi} \right|_{\rm P} =
  697. \tfrac{9}{32\pi}\bigl[
  698. &\tfrac{3}{4} (1-{F_{\rm L}})\sin^2\thetak \\[-0.75em]
  699. &+ {F_{\rm L}}\cos^2\thetak + \tfrac{1}{4}(1-{F_{\rm L}})\sin^2\thetak\cos 2\thetal\nonumber\\
  700. &- {F_{\rm L}} \cos^2\thetak\cos 2\thetal + {S_3}\sin^2\thetak \sin^2\thetal \cos 2\phi\nonumber\\
  701. &+ {S_4} \sin 2\thetak \sin 2\thetal \cos\phi + {S_5}\sin 2\thetak \sin \thetal \cos \phi\nonumber\\
  702. &+ \tfrac{4}{3} {A_{\rm FB}} \sin^2\thetak \cos\thetal + {S_7} \sin 2\thetak \sin\thetal \sin\phi\nonumber\\
  703. &+ {S_8} \sin 2\thetak \sin 2\thetal \sin\phi + {S_9}\sin^2\thetak \sin^2\thetal \sin 2\phi \nonumber
  704. \bigr].
  705. %\end{split}
  706. %\bigr],
  707. \end{align*}
  708. }
  709. \end{itemize}
  710. where the $S_i$ are bilinear combinations of helicity amplitudes.
  711. \begin{itemize}
  712. \item We assume no scalar and tensor contribution and massless leptons.
  713. \end{itemize}
  714.  
  715. \end{frame}
  716. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  717. \begin{frame}\frametitle{S-wave pollution}
  718. \begin{itemize}
  719. \item S-wave: $\PK^+ \Ppi^-$ in spin $0$ configuration
  720. \item Introduced by additional two decay amplitudes $\rightarrow$ six observables.
  721. \end{itemize}
  722. {\tiny{
  723. \begin{align*}
  724. \left.\frac{1}{{\rm d}(\Gamma+\bar{\Gamma})/{\rm d}q^2}\frac{{\rm d}(\Gamma+\bar{\Gamma})}{{\rm dcos}\thetal\,{\rm dcos}\thetak\,{\rm d}\phi}\right|_{{\rm S}+{\rm P}} =
  725. (1-F_S)&\left.\frac{1}{{\rm d}(\Gamma+\bar{\Gamma})/{\rm d}q^2}\frac{{\rm d}(\Gamma+\bar{\Gamma})}{{\rm dcos}\thetal\,{\rm dcos}\thetak\,{\rm d}\phi}\right|_{\rm P}\label{eq:pdfswave}\\
  726. +\tfrac{3}{16\pi} &\bigl[F_S \sin^2\thetal + S-P~\rm{interefence} \bigr].\nonumber
  727. \end{align*}
  728. }}
  729. \begin{columns}
  730. \column{2.5in}
  731. \begin{itemize}
  732. \item $F_S$ dilutes the P-wave observables by a factor $1-F_S$.
  733. \item Needs to be taken into account \\ $\rightarrow$ fit the $m_{K\pi}$.
  734. \item Rel. BW for P-wave.
  735. \item LASS model for S-wave\\{~}\\{~}\\{~}
  736. \end{itemize}
  737. \column{2in}
  738. \includegraphics[angle=-90,width=0.85\textwidth]{images/mkpi4sig.pdf}
  739.  
  740. \end{columns}
  741.  
  742.  
  743. \end{frame}
  744.  
  745.  
  746.  
  747.  
  748. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
  749. \begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ results}
  750. \begin{columns}
  751. \column{2.5in}
  752. \includegraphics[angle=-90,width=0.95\textwidth]{images/Fig5a.pdf}\\
  753. \includegraphics[angle=-90,width=0.95\textwidth]{images/Fig5c.pdf}
  754. \column{2.5in}
  755. \includegraphics[angle=-90,width=0.95\textwidth]{images/Fig5b.pdf}\\
  756. \includegraphics[angle=-90,width=0.95\textwidth]{images/Fig5d.pdf}
  757. \end{columns}
  758. \end{frame}
  759.  
  760. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
  761. \begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ results}
  762. \begin{center}
  763. \includegraphics[angle=-90,width=0.65\textwidth]{images/Fig17.pdf}\\
  764. \end{center}
  765. \begin{itemize}
  766. \item Tension in $P_5^{\prime}$ confirmed!
  767. \item $[4.0,6.0]$ and $[6.0, 8.0]~\GeV^2/c^4$ show $2.9 \sigma$ deviation each.
  768. \item Naive combination shows $3.7\sigma$ discrepancy.
  769. \item Result compatible with previous result.
  770. \end{itemize}
  771.  
  772.  
  773. \end{frame}
  774.  
  775.  
  776.  
  777. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  778. \begin{frame}\frametitle{Understanding the $\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ anomaly}
  779. \begin{columns}
  780. \column{3.in}
  781. \begin{itemize}
  782. \item Matias, Decotes-Genon \& Virto performed a fit to our preliminary result.s
  783. \item Found $\sim 4 \sigma$ discrepancy from SM.
  784. \item Fit favours $C_9^{NP}=-1.1$
  785. \item \href{https://indico.in2p3.fr/event/10819/session/10/contribution/14/material/slides/0.pdf}{\color{Blue}{Moriond 2015 slides}}
  786. \end{itemize}
  787. \begin{itemize}
  788. \item Straub performed the same analysis as Matias et. al.
  789. \item Found the same solution:\\ $\rightarrow$ $C_9$ modification.
  790. \item Data can be explained by introducing a flavour changing $\PZprime$ boson, with mass $\mathcal{O}(10~TeV)$
  791. \item \href{https://indico.in2p3.fr/event/10819/session/10/contribution/87/material/slides/0.pdf}{\color{blue}{Moriond 2015 slides}}
  792. \end{itemize}
  793.  
  794. \column{2.in}
  795. \includegraphics[width=0.95\textwidth]{images/quim.png}\\
  796. \includegraphics[width=0.95\textwidth]{images/straub.png}
  797. \end{columns}
  798. \end{frame}
  799. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  800. %\begin{frame}\frametitle{Understanding the $\color{white}B^{0} \rightarrow K^{\ast} \mu \mu$ anomaly 2/2}
  801. %\begin{columns}
  802. %\column{3in}
  803.  
  804. %\includegraphics[width=0.99\textwidth]{susy/c9.png}
  805. %\column{2in}
  806. %\begin{itemize}
  807. %\item High $q^2$ differential BF suggests are all below SM.
  808. %\item Better consistency with $C_9^{NP}=-1.5$
  809. %\end{itemize}
  810.  
  811. %\end{columns}
  812.  
  813.  
  814. %\end{frame}
  815.  
  816. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  817. \begin{frame}\frametitle{Lepton universality}
  818. \begin{columns}
  819. \column{3.0in}
  820. \begin{itemize}
  821. \item If $\PZprime$ is responsible for the $P'_5$ anomaly, does it couple equally to all flavours?
  822. \includegraphics[width=0.9\textwidth]{susy/uni2.png}
  823. \item Challenging analysis due to bremsstrahlung.
  824. \item Migration of events modeled by MC.
  825. \item Correct bremsstrahlung.
  826. \item Take double ratio with $\PBplus \to \PJpsi \PKplus$ to cancel systematics.
  827. \item In $3fb^{-1}$, LHCb measures $R_K=0.745^{+0.090}_{-0.074}(stat.)^{+0.036}_{-0.036}(syst.)$
  828. \item Consistent with SM at $2.6\sigma$.
  829.  
  830. \end{itemize}
  831. \column{2.0in}
  832. \includegraphics[width=0.99\textwidth]{images/RK.png}\\
  833. \begin{itemize}
  834. \item \href{http://arxiv.org/abs/1406.6482}{Phys. Rev. Lett. 113, 151601 (2014)}
  835. \end{itemize}
  836. \end{columns}
  837. \end{frame}
  838. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  839. \begin{frame}\frametitle{Lepton universality with $\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ anomaly}
  840. \begin{columns}
  841. \column{3in}
  842. \begin{itemize}
  843. \item Lepton flavour universality cannot be explained by any QCD effect!
  844. \item This effect is consistent with anomaly (non universal $\PZ'$)
  845. \item Global fit to $\Pbeauty \rightarrow \Pstrange \Pmuon \APmuon$ and $\Pbeauty \rightarrow \Pstrange \Pelectron \APelectron$ seems to favour $\PZ'$ with non lepton universal couplings.
  846. \end{itemize}
  847.  
  848.  
  849. \column{2in}
  850. \includegraphics[width=0.9\textwidth]{images/LU.png}
  851. \end{columns}
  852. \href{http://arxiv.org/pdf/1408.4097v3.pdf}{\color{blue}{JHEP (2014) 131}}
  853. \end{frame}
  854.  
  855.  
  856. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  857. \begin{frame}\frametitle{Conclusions}
  858. \begin{columns}
  859. \column{3.3in}
  860. \begin{itemize}
  861. \item Rare decays play important role in hutting NP.
  862. \item Can access NP scales beyond reach of GPD.
  863. \item Tension in $\Pbeauty \to \Pstrange \Plepton \Plepton$, theory correct?
  864. \item List of decays presented in this talk is just a tip of iceberg:
  865. \begin{itemize}
  866. \item Please look at ours: isospin, $A_{CP}$.
  867. \item More results are on their way.
  868. \end{itemize}
  869. \item Many results really on SM prediction, QCD improved calculations would be highly appreciated.
  870.  
  871. \end{itemize}
  872. \column{2in}
  873. \includegraphics[width=0.9\textwidth]{susy/higgs_boring.png}
  874. \end{columns}
  875.  
  876. \end{frame}
  877.  
  878.  
  879.  
  880. \backupbegin
  881.  
  882. \begin{frame}\frametitle{Backup}
  883. \topline
  884.  
  885. \end{frame}
  886.  
  887. \backupend
  888.  
  889. \end{document}