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Namit Mahajan

Publications and source records attributed to Namit Mahajan.

At least 19 recordsLinked to original sources

Probing the structure of the $B$ meson with $B\to\ell\ell\ell'ν$

We consider the decay $B\to\ell\ell\ell^{\prime}ν$ in QCD factorization for the case of non-zero (but small) $q^2$, taking into account leading power contributions at NLL in $\mathcal{O}(α_s)$ and next-to-leading power corrections at $\mathcal{O}(α_s^0)$. We further incorporate soft contributions obtained from light-cone sum rules, extrapolated from the Euclidean to physical region using once-subtracted dispersion relations. We restrict ourselves to the case $\ell\neq\ell'$ as otherwise the same sign $\ell$ and $\ell'$ cannot be distinguished. We study the sensitivity of the results to the leading moment of the $B$-meson distribution amplitude and discuss the potential to extract this quantity at LHCb and the Belle II experiment.

hep-ph

A Phenomenological Model of Mesons for Charged Current Weak Decays

We propose a phenomenological model of pseudo scalar mesons to describe charged-current weak decays of heavy-light mesons. The approach combines chiral symmetry in the light sector with heavy-quark flavor symmetry, while Cabibbo--Kobayashi--Maskawa (CKM) matrix elements are incorporated as spurions that encode explicit symmetry breaking. Restricting to charged-current interactions, we systematically organize the leading-order current-current operators at dimension six and identify the relevant operator structures governing fully-leptonic, semi-leptonic, and hadronic decays. This framework reproduces known heavy-quark scaling relations for decay constants and form factors in agreement with expectations from heavy quark effective theory, providing nontrivial consistency checks. Operators responsible for hadronic transitions are further classified into double-trace operators and single-trace operators. These single traces, interestingly, often capture several higher order corrections, non-factorizable effects etc. We check for consistencies for both single-trace and double-trace operators demanding that the resulting amplitudes should satisfy established isospin sum rules. As an application, we analyze the decay modes $B\to K + η_{c} / η^{\prime}/ η$. We find that these processes receive contributions from a host of non-trivial processes such as mixing between various states, non-perturbative QCD parameters such as the heavy quark condensates, non-factorizable effects, etc, apart from the straightforward perturbative $W$ exchange diagrams in the quark picture. Our set-up neatly captures all of these effects. The phenomenological model we provide here is a symmetry-guided, hadron-level description of charged-current processes and offers a complementary perspective to conventional quark-level approaches, with a natural avenue for incorporating non-factorizable effects.

hep-ph

In-In EFT

The effective field theory (EFT) construction when the objects of interest are the In-In (or real time) correlators rather than the In-Out S-matrix elements is constructed. This is done using the formal equivalence between the In-In and In-Out correlation functions, and demanding that the EFT and the full theory provide the same answers for the In-In correlation functions. Matching coefficients for a simple example are provided including for operators with two or more space or time derivatives. It is also pointed out that the Schrodinger representation of QFT captures some of the desired features of these calculations in a natural way and may actually serve as a link between these calculations and the broader amplitude programme.

hep-th

$B\to X_{c(u)}\ell\barν_{\ell}γ$ and determination of non-perturbative parameters

This article explores the calculation of non-perturbative parameters present in the matrix element of semileptonic inclusive $B$ decays. These are important for the inclusive determination of the Cabbibo-Kobayashi-Maskawa (CKM) parameters in the standard model. We focus on calculating the rate for radiative inclusive decay, $B\to X_c\ell \barν_{\ell}γ$, where $γ$ is hard. Both the radiative and non-radiative ($B\to X_c \ell \barν_{\ell}$) modes are found to require the same non-perturbative parameters. We propose forming ratios from $B\to X_c \ell \barν_{\ell}γ$ and $B\to X_c \ell \barν_{\ell}$ widths in different lepton energy ranges. Our results provide an efficient way to unambiguously calculate the non-perturbative parameters, especially when combined with total width calculations of $B\to X_c \ell \barν_{\ell}$. This is shown explicitly by working to $\mathcal{O}(1/m_b)$ and determining $λ_1$ and $λ_2$.

hep-ph

On the smallness of charm loop effects in $B\to K^{(*)} \ell\ell$ at low $q^2$: light meson Distribution Amplitude analysis

The non-local effects originating from the charm quark loops at dilepton invariant masses smaller than the charmonium threshold in $B\to K \ell\ell$ are evaluated with light meson distribution amplitudes. The revised estimates with B-meson distribution amplitude within a Light Cone Sum Rule approach yielded results about three orders smaller than the original computation. In view of the importance of these non-factorizable soft gluon effects, both conceptually and phenomenologically, an independent evaluation is necessary. It is found that to twist-4 accuracy, these soft gluon effects vanish when evaluated employing the kaon distribution amplitude. Similar results hold for $B\to K^* \ell\ell$ to the leading twist. This eliminates one of the major sources of potential uncertainty which usually makes it difficult for a clear case of new physics, should the data show deviations from the standard model.

hep-ph

ALPs and Heavy Hadron Chiral Perturbation Theory

Axion Like Particles (ALPs) belong to a well motivated class of particles which are part of a more complete UV theory. In this work, we initiate and present the inclusion of such ALPs or the conventional axions in the Heavy Hadron Chiral Perturbation Theory (HHChiPT) in a model independent effective lagrangian way. Such a framework is well suited for studying heavy to heavy quark flavour preserving transitions. For light ALPs, the limits on the ALP couplings (or their combinations) turn out to be independent of ALP mass. Radiative and leptonic decays of heavy vector mesons to corresponding heavy pseudoscalar mesons will be able to provide some of the most stringent constraints on ALPs, particularly the diagonal couplings.

hep-ph

More on Denominator Regularization in Quantum Field Theory

Recently \cite{Horowitz:2022rpp,Horowitz:2022uak}, denominator regularisation (Den. Reg.) scheme has been proposed to handle divergences in quantum field theory. It is shown to yield results as simple as in dimensional regularisation scheme and also shown to be compatible with minimal subtraction scheme by taking several examples in field theory. In this article, we point out some interesting features of this regularisation scheme which appear as a consequence of the requirement of gauge invariance by revisiting QED vacuum polarisation and $H\toγγ$ decay in this regularisation scheme.

hep-ph

Light Cone Sum Rules and Form Factors for $p\rightarrow e^+ γ$

Proton decay is a baryon number violating process, and hence is forbidden in the Standard Model (SM) of particle physics. Baryon number violation is expected to be an important criteria to explain the matter-anti-matter asymmetry of the universe. Any detection of the proton decay will be a direct evidence of physics beyond the SM. In SMEFT, proton decay is possible via baryon number violating dimension-6 operators. In this work, we pay attention to the decay channel $p\rightarrow e^+ γ$ which is expected to be an experimentally cleaner channel due to less nuclear absorption. The gauge invariant amplitude of this process involves two form factors. We calculate these form factors in the framework of light cone sum rules (LCSR) using photon DAs upto two particle twist-3 accuracy as well as proton DAs of twist-3 accuracy. We find that the form factors calculated using photon DAs are more reliable.

hep-ph

$\frac{|V_{ub}|}{|V_{cb}|}$ and Quest for New Physics

Charged current semi-leptonic decays of $B$-meson are important for a precise determination of the CKM elements. The CKM elements $|V_{ub}|$ and $|V_{cb}|$ show a discrepancy between the exclusive and inclusive determinations. These determinations are however masked with hadronic and other uncertainties, and thus can't be unambiguously taken as implying new physics. In the present study, we propose a new observable: the ratio of these two CKM elements, $R_V \equiv \frac{|V_{ub}|}{|V_{cb}|}$, which is found to receive negligible corrections due to hadronic as well as QED effects. Interestingly, $R_V$ as constructed from exclusive determinations of $|V_{ub}|$ and $|V_{cb}|$ agrees quite well with that constructed from the inclusive determinations of these CKM elements. Hence, we propose that $R_V$ is a better and cleaner observable, and can serve as an excellent tool for the test of the Standard Model. We also provide an example of its probing power.

hep-ph

Phenomenology of $τ^- \rightarrow π^- ν_τ γ$ using LCSR

We present the study of radiative tau decay ($τ^- \rightarrow π^- ν_τγ$), computing the structure dependent contribution using Light Cone Sum Rules. This decay includes the same form factors as the radiative pion decay with the crucial difference that the momentum transfer squared, $t$, between the pion-photon system is positive, which makes these form factors timelike and also as $t$ can now take values upto $m_τ^2$ , it can produce real hadronic resonances. The analytical form for these form factors has been calculated using light cone sum rules method and the invariant mass-spectrum in the $π-γ$ system and the decay width are presented. The structure dependent parameter, $γ$, the ratio of the axial to vector form factor is found to be in good agreement with the experimental determination.

hep-ph

$ρ$ exchange contribution to neutrinoless double beta decay

We consider $ρ$ meson contributions to neutrinoless double beta decay amplitude stemming from the hadronization of the short distance quark-electron currents. These contributions are evaluated within vacuum dominance approximation. The one and two $ρ$ exchange contributions affect the Fermi transition nuclear matrix element in a way that lead to near cancellations in the same chirality, left-left and right-right, short range amplitudes when these new contributions are combined with the conventional short range amplitudes, while the left-right amplitude almost triples. This then necessitates the inclusion of $ρ$ exchange amplitudes in any phenomenological study, like in left-right theories.

hep-ph

On the Impact of Soft Photons on $B\rightarrow K \ell^+ \ell^-$

We give detailed results of $\mathcal{O}(α)$ QED corrections (both real emission and virtual corrections) to $B\to K\ell^+\ell^-$ modes. Requiring the real emission to be gauge invariant, the structure of the contact term(s) is fixed. The calculation is done with a fictitious photon mass as the IR regulator and results are shown to be independent of it, establishing cancellation of the soft divergences. Results are presented for a choice of photon energy, $k_{max}$, and photon angle $θ_{cut}$. The QED effects are negative, thereby reducing the rate compared to that without QED effects. Electron channels are shown to receive large corrections ($\mathcal{O}(20\%)$). Impact on lepton flavour universality ratio, $R^{μe}_K$ are also discussed.

hep-ph

Generalised $μ$-$τ$ symmetries and calculable gauge kinetic and mass mixing in $U(1)_{L_μ-L_τ}$ models

Extensions of the standard model with a $U(1)$ gauge symmetry contain gauge invariant kinetic mixing, $\sinχ$, and gauge non-invariant mass mixing, $δM^2$, between the hypercharge and the new gauge boson $Z'$. These represent a priori incalculable but phenomenologically important parameters of the theory. They become calculable if there exist spontaneously or softly broken symmetries which forbid them at tree level but allow their generation at the loop level. We discuss various symmetries falling in this category in the context of the gauged $L_μ-L_τ$ models and their interplay with lepton mixing. It is shown that one gets phenomenologically inconsistent lepton mixing parameters if these symmetries are exact. Spontaneous breaking of these symmetries can lead to consistent lepton mixing and also generates finite and calculable values of these parameters at one or two loop order depending on the underlying symmetry. We calculate these parameters in two specific cases: (i) the standard seesaw model with $μ$-$τ$ symmetry broken by the masses of the right-handed neutrinos and (ii) in a model containing a pair of vectorlike charged leptons which break $μ$-$τ$ symmetry. In case (i), the right-handed neutrinos are the only source of gauge mixing. The kinetic mixing parameters are suppressed and vanish if the right-handed neutrinos decouple from the theory. In contrast, there exists a finite gauge mixing in case (ii) which survives even when the masses of vectorlike leptons are taken to infinity, exhibiting non-decoupling behaviour. The seesaw model discussed here represents a complete framework with practically no kinetic mixing and hence can survive a large number of experimental probes used to rule out specific ranges in the coupling $g^\prime$ and mass $M_{Z^\prime}$. The model can generate non-universality in tau decays, which can be tested in future experiments.

hep-ph

$B\to K^\ast_2(1430)\ell^+\ell^-$ distributions in Standard Model at large recoil

We study the rare decay $B\to K_2^\ast(1430)(\to Kπ)\ell^+\ell^-$ in the Standard Model and beyond. Working in the transversity basis, we exploit the relations between the heavy-to-light form factors in the limit of heavy quark ($m_b\to \infty$) and large energy ($E_{K_2^\ast}\to \infty$) of the $K^\ast_2$ meson. This allows us to construct observables where at leading order in $Λ_{\rm QCD}/m_b$ and $α_s$ the form factor dependence involving the $B\to K^\ast_2$ transitions cancels. Higher order corrections are systematically incorporated in the numerical analysis. In the Standard Model the decay has a sizable branching ratio and therefore a large number of events can be expected at LHCb. Going beyond the Standard Model, we explore the implications of the global fit to presently available $b\to s\ell^+\ell^-$ data on the $B\to K_2^\ast \ell^+\ell^-$ observables.

hep-ph

Predictions of Angular Observables for $\bar{B}_s\to K^{\ast}\ell\ell$ and $\bar{B}\to ρ\ell\ell$ in Standard Model

Exclusive semileptonic decays based on $b\to s$ transitions have been attracting a lot of attention as some angular observables deviate significantly from the Standard Model (SM) predictions in specific $q^2$ bins. B meson decays induced by other Flavor Changing Neutral Current (FCNC), $b\to d$, can also offer a probe to new physics with an additional sensitivity to the weak phase in Cabibbo-Kobayashi-Masakawa (CKM) matrix. We provide predictions for angular observables for $b\to d$ semileptonic transitions, namely $\bar{B}_s\to K^{\ast}\ell^+\ell^-$, $\bar{B}^0\toρ^0 \ell^+\ell^-$, and their CP-conjugated modes. For $\bar{B}^0\toρ^0 \ell^+\ell^-$ mode, $B^0-\bar{B}^0$ mixing effects have been included and predictions are made for Belle and LHCb separately. Study of these decay modes will be useful in its own right and to understand the pattern of deviations in $b\to s$ transitions.

hep-ph

Scrutinizing $R$-parity violating interactions in light of $R_{K^{(\ast)}}$ data

The LHCb has measured the ratios of $B\to K^\astμ^+μ^-$ to $B\to K^\ast e^+ e^-$ branching fractions in two dilepton invariant mass squared bins, which deviate from the Standard Model predictions by approximately $2.5σ$. These new measurements strengthen the hint of lepton flavor universality breaking which was observed earlier in $B\to K\ell^+\ell^-$ decays. In this work we explore the possibility of explaining these anomalies within the framework of $R$-parity violating interactions. In this framework, $b\to s\ell^+\ell^-$ transitions are generated through tree and one loop diagrams involving exchange of down-type right-handed squarks, up-type left-handed squarks and left-handed sneutrinos. We find that the tree level contributions are not enough to explain the anomalies, but at one loop, simultaneous explanation of the deviations in $B\to K^\ast\ell^+\ell^-$ and $B\to K\ell^+\ell^-$ is feasible for a parameter space of the Yukawa couplings that is consistent with the bounds coming from $B\to K^{(\ast)}ν\barν$ and $D^0\to μ^+μ^-$ decays and $B_s-\bar{B}_s$ mixing.

hep-ph

Determining Form Factors and Wilson Coefficients using $B\rightarrow K^*μ^+μ^-$ data

A method to extract Wilson coefficients for semi-leptonic $b\rightarrow s$ transition and form factors for the hadronic process $B\rightarrow K^*μ^+μ^-$ is suggested. The method is based on data of angular distribution of the process $B\rightarrow K^*(\rightarrow K π)μ^+μ^-$ with the optimized observables plotted as functions of dilepton invariant mass squared. We have constructed plots of the observables using present knowledge of Wilson coefficients and form factors. Assuming these plots to be experimental data, we have discussed and used the strategy to determine the form factors and Wilson coefficients. The method is novel as this provides a form-factor-independent determination of Wilson coefficients and also provides a reliable data driven method to extract information about form factors.

hep-ph

Gravitino production in a thermal Universe revisited

We study the production of spin 1/2 gravitinos in a thermal Universe. Taking into account supersymmetry breaking due to the finite thermal energy density of the Universe, there is a large enhancement in the cross section of production of these gravitino states. We consider gravitinos with zero temperature masses of 0.1 eV, 1 keV, 100 GeV and 30 TeV as representative of gauge mediated, gravity mediated and anomaly mediated supersymmetry breaking scenarios. We find that the abundance of gravitinos produced in the early Universe is very high for gravitinos of mass 1 keV and 100 GeV. The gravitino abundances can be sufficiently suppressed if the reheat temperature is less than 100 GeV and $4\cdot 10^4$ gev respectively. However such low reheat temperatures will rule out many models of baryogenesis including those via leptogenesis.

astro-ph.CO