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Weak Hamiltonian, CP Violation and Rare Decays
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These lectures describe in detail the effective Hamiltonians for weak decays of mesons constructed by means of the operator product expansion and the renormalization group method. We calculate Wilson coeffcients of local operators, discuss mixing of operators under renormalization, the anomalous dimensions of operators and anomalous dimension matrices. We elaborate on the renormalzation scheme and renormalization scale dependences and their cancellations in physical amplitudes. In particular we discuss the issue of gamma-5 in D-dimensions and the role of evanescent operators in the calculation of two-loop anomalous dimensions. We present an explicit calculation of the 6 times 6 one-loop anomalous dimension matrix involving current-current and QCD-penguin operators and we give some hints how to properly calculate two-loop anomalous dimensions of these operators. In the phenonomenological part of these lectures we discuss in detail: CKM matrix, the unitarity triangle and its determination, two-body non-leptonic B-decays and the generalized factorization, the ratio epsilonprime/epsilon, B to X_s gamma, K^+ to pi^+ nu barnu, K_L to pi^0 nu barnu, B to X_s nu barnu, B_s to mu bar mu and some aspects of CP violation in B-decays.
Forward citations
Cited by 17 Pith papers
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Complete one-loop QED corrections to $D_s^+$ leptonic decays and impact on the CKM unitarity test
Complete one-loop QED and electroweak corrections to D_s^+ leptonic decays give |V_cs| = 0.991 ± 0.007 from latest data, aligning second-column CKM unitarity with the Standard Model.
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A Phenomenological Model of Mesons for Charged Current Weak Decays
A symmetry-guided phenomenological model organizes leading current-current operators for charged-current decays of heavy-light mesons and reproduces heavy-quark scaling relations for decay constants and form factors.
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Forward backward CP asymmetry in $\tau^- \to K \pi \nu_{\tau}$ in the Left-Right Inverse seesaw model
The Left-Right Inverse Seesaw model generates a non-decoupling scalar operator that enhances the differential forward-backward CP asymmetry A_CP^FB(s) near K* and K0* resonances in τ → Kπν_τ while leaving the integrat...
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Matter Unification and Lepton Flavour Violation
Muon-to-electron conversion at Mu2e can probe quark–lepton unification scales up to ~10^4 TeV in the minimal SU(4)_C×SU(2)_L×U(1)_R model, even where rare kaon decays are suppressed by unknown mixing angles.
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TeV Scale Quark-Lepton Unification
A quark-lepton unified Pati-Salam model with Z2 symmetry realizes a leptoquark gauge boson as light as 4.3 TeV, compatible with LHC and flavor constraints, and predicts testable lepton flavor violation plus new vector...
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Constraints on scalar leptoquarks from lepton and kaon physics
Scalar leptoquark couplings are constrained by a comprehensive set of upper bounds from tau, muon, electron, and kaon decay data, including standard model interference in rare K to pi l+ l- modes.
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Reevaluating Uncertainties in $\bar B\to X_s\gamma$ Decay
New moment relations for the soft function g17, combined with a 2016 global fit of HQET parameters, tighten the resolved photon contribution to the B -> X_s gamma total rate to about [-0.3,+1.6]% but widen the CP-asym...
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Accelerating Discovery: Model-Agnostic Likelihoods for the Reinterpretation of Particle Physics Results and their Application to the Belle II $B^{+}\to K^{+}\nu\bar{\nu}$ Measurement
A reweighting method creates model-agnostic likelihoods from histogram analyses, applied to Belle II B+ to K+ nu nubar data for WET constraints and light new physics searches.
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Light cone QCD sum rules study of the rare radiative $\Xi^{*}_{bb}\to\Xi_b\gamma$ decay
Light cone QCD sum rules produce the form factors T1V(q²=0), T2V(q²=0), T1A(q²=0), T2A(q²=0) for Ξ*bb → Ξb γ, from which the decay width is calculated.
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Weak decays of singly heavy baryons: the $1/2\to3/2$ case
Form factors and decay widths are computed for 1/2 to 3/2 weak transitions of Omega_c and Omega_b baryons, yielding branching-ratio predictions for semileptonic and nonleptonic modes.
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Charmful two-body $\Omega_b$ decays in the light-front quark model
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Review advocating correlations among flavour observables as direct tests for specific new physics models beyond global fits to Wilson coefficients.
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